What is the heat capacity of 170 g of liquid water?

The enthalpy change (in kJ) for the given solution is [tex]\boxed{{\text{329}}{\text{.82 kJ}}}[/tex]

Further explanation:

The property is a unique feature of the substance that differentiates it from the other substances. It is classified into two types:

1. Intensive properties:

These are the properties that depend on the nature of the substance. These don't depend on the size of the system. Their values remain unaltered even if the system is further divided into a number of subsystems. Temperature, refractive index, concentration, pressure, and density are some of the examples of intensive properties.

2. Extensive properties:

These are the properties that depend on the amount of the substance. These are additive in nature when a single system is divided into many subsystems. Mass, enthalpy, volume, energy, size, weight, and length are some of the examples of extensive properties.

Enthalpy:

It is a thermodynamic property that is defined as the sum of internal energy and product of pressure (P) and volume (V) of the system. It is a state function, an extensive property, and is independent of the path followed by the system while moving from initial to the final point. The total enthalpy of the system cannot be measured directly so its change [tex]\left({\Delta{\text{H}}}\right)[/tex] is usually measured.

The enthalpy change [tex]\left({\Delta{\text{H}}}\right)[/tex]can have two values:

Case I: If the reaction is endothermic, more energy needs to be supplied to the system than that released by it. So [tex]\Delta{\text{H}}[/tex] comes out to be positive.

Case II: If the reaction is exothermic, more energy is released by the system than that supplied to it. So [tex]\Delta{\text{H}}[/tex] comes out to be negative.

Specific heat is the amount of heat required to increase the temperature of any substance per unit mass. Specific heat capacity is also known as or mass specific heat. Its SI unit is Joule (J).

The formula to calculate the heat energy of any substance is as follows:

[tex]{\text{Q}}={mc\Delta T}}[/tex]                       …… (1)

Here,

Q is the amount of heat transferred.

m is the mass of the substance.

c is the specific heat of the substance.

[tex]{\Delta T}}[/tex] is the change in temperature of the system.

The formula to calculate the density of the solution is as follows:

[tex]{\text{Density of solution}}=\frac{{{\text{Mass of solution}}}}{{{\text{Volume of solution}}}}[/tex]               ….. (2)

Rearrange equation (2) for the mass of the solution.

[tex]{\text{Mass of solution}}=\left({{\text{Density of solution}}}\right)\left({{\text{Volume of solution}}}\right)[/tex]        …… (3)

The density of the solution is 1.25 g/mL.

The volume of solution is 250 mL.

Substitute these values in equation (3).

[tex]\begin{gathered}{\text{Mass of solution}}=\left({\frac{{{\text{1}}{\text{.25 g}}}}{{1\;{\text{mL}}}}}\right)\left({{\text{250 mL}}}\right)\\={\text{312}}{\text{.5 g}}\\\end{gathered}[/tex]

The temperature change [tex]\left({\Delta{\text{T}}}\right)[/tex] is to be converted to K. The conversion factor for this is,

[tex]{\text{0 }}^\circ{\text{C}}={\text{273 K}}[/tex]

So [tex]{\Delta T}}[/tex] can be calculated as follows:

[tex]\begin{gathered}{\text{Temperature}}\left({\text{K}}\right)=\left( {9.2+273}\right)\;{\text{K}}\\=282.2\;{\text{K}}\\\end{gathered}[/tex]

The mass of the solution is 312.5 g.

The specific heat of the solution is [tex]3.74\;{\text{J/g K}}[/tex].

[tex]{\Delta T}}[/tex] of the system is 282.2 K.

Substitute these values in equation (1).

[tex]\begin{gathered}{\text{Q}}=\left({{\text{312}}{\text{.5 g}}}\right)\left({\frac{{3.74\;{\text{J}}}}{{\left({{\text{1 g}}}\right)\left({{\text{1 K}}}\right)}}}\right)\left({282.2\;{\text{K}}}\right)\\=329821.25\;{\text{J}}\\\end{gathered}[/tex]

The enthalpy change is to be converted into kJ. The conversion factor for this is,

[tex]{\text{1 J}}={10^{-3}}\;{\text{kJ}}[/tex]

So the enthalpy change can be calculated as follows:

[tex]\begin{gathered}{\text{Q}}=\left({329821.25\;{\text{J}}}\right)\left({\frac{{{{10}^{-3}}\;{\text{kJ}}}}{{{\text{1 J}}}}}\right)\\=329.82125\;{\text{kJ}}\\\approx{\text{329}}{\text{.82 kJ}}\\\end{gathered}[/tex]

Therefore, the enthalpy change of the given reaction is 329.82 kJ.

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Answer details:

Grade: Senior School

Subject: Chemistry

Chapter: Thermodynamics

Keywords: intensive, extensive, enthalpy, mass of solution, amount of heat transferred, Q, m, c, given mass, molar mass, enthalpy change, 329.82 kJ, enthalpy change, density of solution, mass of solution, volume of solution, conversion factor, 250 mL, 1.25 g/mL.

To find the enthalpy change of the chemical reaction, we use the equation q = mcΔT, where q is the heat absorbed or released, m is the mass of the solution, c is the specific heat of the solution, and ΔT is the change in temperature. Substituting the given values into the equation, we find that the enthalpy change is 10.94 kJ.

To calculate the enthalpy change of the chemical reaction, we need to use the equation q = mcΔT, where q represents the heat absorbed or released, m is the mass of the solution, c is the specific heat of the solution, and ΔT is the change in temperature.

First, we need to find the mass of the solution. The density of the solution is given as 1.25 g/mL, so for 250.0 mL of solution, the mass would be 250.0 mL * 1.25 g/mL = 312.5 g.

Next, we can substitute the values into the equation: q = (312.5 g) * (3.74 J/g°C) * (9.20 °C). To convert the result from joules to kilojoules, we divide the answer by 1000.

Therefore, the enthalpy change of the chemical reaction is 10.94 kJ.

Gasoline is a heterogeneous mixture composed of different substances that are not uniformly distributed throughout. It is also a compound made up of different types of molecules bonded together.

Gasoline is a liquid mixture of continuous- and branched-chain alkanes, each containing from five to nine carbon atoms, plus various additives to improve its performance as a fuel. It is considered a heterogeneous mixture because it contains different substances that are not uniformly distributed throughout. Furthermore, gasoline is a compound as it is composed of different types of molecules bonded together.

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A molecule of water is lost during condensation two monosaccharides

A disaccharide is formed from a monosaccharide by condensation of two monosaccharides.

During this condensation, a molecule of water is lost. As such, the formula of the disaccharide  is less than the sum of (double)the molecular formula of two monosccharide units by H2O due to condensation.

For instance;

C6H12O6 + C6H12O6  -------->  C12H22O11

                                    -H2O

The two main postulates that was given by Antoine Lavoisier are, oxygen play an important role in combustion and the other is mass of the reactant and product is conserved. Therefore, according to law of conservation of mass, the number and types of atoms remain same, only the bond changes between atoms.

According to Law of conservation of mass, mass can neither be created nor be destroyed. Mass can only be transformed from one form to another. The law of conservation of mass was given by Antoine Lavoisier.

Every reaction in nature follow the law given by Antoine Lavoisier that is mass is always conserved. According to law of conservation of mass, the number and types of atoms remain same, only the bond changes between atoms.

Therefore, according to law of conservation of mass, the number and types of atoms remain same, only the bond changes between atoms.

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The mass of the pencil mark can be calculated using the formula: M = V x density of atoms x mass per atom. Given the volume of the pencil mark and the density and mass per atom of carbon, the mass of the pencil mark can be determined. The mass of the pencil mark is approximately 3.5 x 10^39 kg.

The mass of the pencil mark can be calculated using the formula:

M = V x density of atoms x mass per atom

Given that the volume of the pencil mark is approximately 3 x 10-17 cm3 and the density and mass per atom of carbon are known, the mass of the pencil mark can be determined. Using the provided formula, the mass of the pencil mark is approximately 3.5 x 1039 kg.

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Answer: Option (C)

Explanation: Uranium- 238 is an unstable isotope of uranium. It is one of the most effective isotope used for radioactive dating in order to determine the age of a rock that is about billions of years old. It contains an unstable nucleus that undergoes continuous decay, until it reaches a stable environment. It has a half life of approximately 4.5 billion years and majority of the uranium that are present on earth at present are all uranium- 238 and they are constantly decaying. When uranium completely decays, it then gets converted into lead, which is a stable element.

The most common radioactive method used to date rocks is Uranium-Lead dating method.

Thus, the correct answer is option (C).

Final answer:

In an isotope with 27 neutrons and a mass number of 52, the number of electrons must match the number of protons, which is calculated to be 25.

Explanation:

If an isotope of an element has 27 neutrons and a mass number of 52, how many electrons must it have? To determine the number of electrons in a neutral atom, first, we need to know the number of protons, as the number of protons equals the number of electrons in a neutral atom. The mass number of an atom is the sum of its protons and neutrons. Given the mass number is 52 and there are 27 neutrons, we can calculate the number of protons (and therefore electrons in a neutral atom) as follows:

Therefore, an isotope with 27 neutrons and a mass number of 52 must have 25 electrons.

A 760 nm photon has less energy than a 620 nm photon because energy and wavelength of photons are inversely related. Longer wavelengths signify lower energy, so a 760 nm photon has less energy.

Compared to a 620 nm photon, a 760 nm photon has lesser energy. This is because energy and wavelength of photons are inversely related, and thus, a longer wavelength (760 nm) signifies lower energy. Wavelength and energy are related by the equation E=hc/λ, where E is energy, h is Planck's constant, c is the speed of light, and λ is the wavelength. If the λ value increases, the E value decreases, assuming the values of h and c remain constant.

For example, a red photon (longer wavelength around 700 nm) carries less energy compared to a blue photon (shorter wavelength around 420 nm). This concept also applies to other types of electromagnetic radiation such as UV or infrared light, going beyond the visible light spectrum (380 to 720 nm). In essence, the longer the wavelength, the less energy the photon has, which is why a 760 nm photon has less energy than a 620 nm.

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Answer:

Diamond is rare and naturally-occurring mineral composed of carbon.

Explanation:

The answer is isotonic solution. These are solutions where the solute concentration in the solution and inside the cells are levelled and consequently water flows consistently. When red blood cells are positioned in an isotonic solution the cells would always stay the same.

Explanation:

Scientific notation is defined as the representation of the numbers that are too big or too small and are represented in the form of decimal with one digit before the decimal point times 10 raise to the power.

Significant figures from scientific notation:

A)[tex](5.3\times 10^4) + (1.3\times 10^4)[/tex]

[tex]10^4(5.3+1.3)=10^4(6.6)=6.6\times 10^4[/tex]

Number of significant figures = 2

B)[tex]\frac{(7.2\times 10^-4)}{(1.8\times 10^3)}[/tex]

[tex]\frac{7.2\times 10^{-4-3}}{1.8}=4.0\times 10^{-7}[/tex]

Number of significant figures = 2

C).[tex] 10^4\times 10^{-3}\times 10^6 [/tex]

[tex]10^{4-3+6}=10^7=1\times 10^7[/tex]

Number of significant figures = 1

D). [tex](9.12\times 10^{-1}) - (4.7\times 10^{-2})[/tex]

[tex]10^{-1}(9.12-0.47)=8.65\times 10^{-1}[/tex]

Number of significant figures = 3

E). [tex](5.4\times 10^4)\times (3.5\times 10^9)[/tex]

[tex]5.4\times 3.5\times 10^{4+9}=18.9\times 10^{13}=1.89\times 10^{14}[/tex]

Number of significant figures = 3

Scientific notation always have a decimal part multiplied by 10 raised to the exponent of a positive or negative integer.

a) [tex](5.3 x 10^4) + (1.3 x 10^4) = 6.6 * 10^4[/tex]

b) [tex](7.2 x 10^-4) /(1.8 x 10^3) = 4.0 * 10^-7[/tex]

c) [tex]10^4 x 10^-3 x 10^6 = 1.0 * 10^7[/tex]

d) [tex](9.12 x 10^-1) - (4.7 x10^-2) = 8.65 * 10^-1[/tex]

e) [tex](5.4 x 10^4) x (3.5 x 10^9) = 2.1 * 10^14[/tex]

When working on multiplication and division of numbers in scientific notation, the laws of indices are applied as shown in the results above.

For addition and subtraction, the both numbers in scientific notation must be made to have a common exponent before the operation can be carried out successfully.

Also note that the correct number of significant figure must be maintained in the results obtained from each operation.

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The answer in the space provided is active condensation. Active condensation will likely occur if in saturation, further addition of water vapor has occurred or there is a presence of decrease in temperature. Condensation is a process that occurs when physical state is being changes such example of this when gas is formed into a liquid.

In the reaction between methane and chlorine, each volume of methane produces 4 volumes of hydrogen chloride. If 1.69 ml of methane were consumed, 6.76 ml of hydrogen chloride would be produced.

This question involves the concept of stoichiometry in chemistry. In the chemical reaction between methane (CH4) and chlorine (Cl2), the balanced equation is CH4 + 4Cl2 → 4HCl + CCl4. This equation reveals that 1 volume of methane reacts with 4 volumes of chlorine to produce 4 volumes of hydrogen chloride and 1 volume of carbon tetrachloride. Hence, if 1.69 ml of methane were consumed, 1.69 ml x 4 = 6.76 ml of hydrogen chloride would be produced.

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To prepare 200 ml of a 0.040M NaOH solution, you would need approximately 2 pellets of NaOH, each weighing 0.170 g.

To calculate the mass of solid sodium hydroxide needed to prepare 200 ml of a 0.040M solution, we first need to calculate the number of moles required. Molarity (M) is defined as the number of moles of solute per litre of solution. Therefore, for a 0.040M solution in 0.2L (or 200 ml) of solution, we would need 0.040M * 0.2L = 0.008 moles of NaOH.

Then, we need to convert moles to grams, because the mass of each sodium hydroxide pellet is given in grams. The molar mass of NaOH is roughly 40 g/mol. Hence, the mass of NaOH required is 0.008 moles * 40 g/mol = 0.32 g.

Finally, to find the number of pellets needed, we would divide the total mass required by the mass of each pellet: 0.32g / 0.170g/pellet = approximately 2 pellets of sodium hydroxide.

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The modern periodic table is divided into four blocks based on the nature of the orbital in which the differentiating electron is placed. The alkaline earth element is 'Mg'. The correct option is B.

The elements in which the differentiating electron enters into an s - orbital of the valence shell (n) are called 's' block elements. The elements of group 1 are called alkali metals whereas the elements of group 2 are known as alkaline earth metals.

The general outer electronic configuration of alkali elements is ns¹ and that of  alkaline earth elements is ns². They are metals and are good conductors of heat and electricity. They show metallic lustre.

The 's' block elements generally form compounds with highly electronegative elements of groups 16 and 17. They are very reactive.

Thus the correct option is B.

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Final answer:

Q-Sepharose is an anion exchange resin composed of cross-linked agarose beads with positively charged functional groups that bind negatively charged molecules in a process known as ion exchange chromatography. This allows for the separation and purification of proteins based on their charge.

Explanation:

The chemical nature of Q-Sepharose which allows it to function as an ion exchanger is rooted in its composition. Q-Sepharose is a form of cross-linked agarose beads which have been chemically modified to carry positively charged functional groups, typically quaternary ammonium groups.

This anion exchange resin can capture and bind negatively charged molecules, such as certain proteins, through electrostatic interactions. When a mixture containing various ionic species is passed through a column containing Q-Sepharose, negatively charged species will bind to the positively charged groups on the Q-Sepharose, while other species will pass through.

During ion exchange chromatography, to elute (wash off) the bound molecules, the ionic strength of the elution buffer is typically increased. This is done by adding salts, which provide counter-ions that compete with the protein for binding to the resin, resulting in the release of the protein into the buffer. Hence, proteins bound through ion-ion interactions can be selectively detached and collected. The physical nature of Q-Sepharose—its high density of charged groups, chemical stability, and structural robustness—makes it suitable for repeated use in chromatography processes.

The enthalpy of combustion of C6H14 can be calculated using the enthalpies of formation of the products and reactants as per Hess's law, resulting in an approximate value of -4163 kJ/mol.

To calculate the enthalpy of combustion, ΔH°comb, for C6H14, we first need to write and balance the combustion reaction for C6H14. The balanced chemical equation for the combustion of C6H14 in oxygen is:

C6H14 (l) + 19/2 O2 (g) -> 6 CO2 (g) + 7 H2O (l)

Going by Hess's law, the enthalpy change of the whole process will be equivalent to the sum of the enthalpy changes of each step. The enthalpies of formation of CO2 and H2O are -393.5 kJ/mol and -285.8 kJ/mol respectively, while the enthalpy of formation of C6H14 is -200.0 kJ/mol from literature. Using the balanced equation, we can calculate the ΔH°comb:

ΔHC°comb = ΣΔHf° (products) - ΣΔHf° (reactants)

So,

ΔHC°comb = [(6×-393.5) + (7×-285.8)] - [-200.0]

2hich gives the enthalpy of combustion of C6H14 to be approximately -4163 kJ/mol, to four significant figures.

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So, it follows from the equation above that the mass, gravitational pull, and height of a body all affect its potential energy.

Three factors affect an object's gravitational potential energy: the object's mass, its height above the Earth's surface, and the gravitational force's strength, which is measured by a quantity known as the acceleration caused by gravity.

Gravity is affected by the size of the items and the distance between them. A measure of an object's quantity of material is its mass. An object with more mass falls faster than one with less mass. Even as the separation between two objects widens, the pull of gravity lessens.

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Final answer:

Gravitational potential energy depends on an object's height, mass, and the strength of the local gravitational field, typically simplified to Ug = mgy where 'g' is standard gravity (9.8 m/s²) near the Earth's surface.

Explanation:

The gravitational potential energy of an object depends on several factors, including its height above a reference level, its mass, and the strength of the gravitational field it is within. For example, gravitational potential energy equation near Earth can be expressed as Ug = mgy.

Where 'm' stands for the object's mass, 'g' represents the acceleration due to gravity, which is approximately 9.8 m/s² near Earth's surface, and 'y' is the object's height above the reference level. Moreover, the stronger the gravitational field (which depends on the mass of the object creating the field and the distance to its center), the greater the potential energy of the object will be at a given height.

This principal concept holds true for local approximations where the change in distance relative to the center of gravity is small, allowing the simplification that 'g' remains constant. However, if an object is elevated to a significant fraction of the Earth’s radius, then 'g' would decrease as the distance from the Earth's center increases, making the calculation more complex.

The electron configurations for copper (Cu), oxygen (O), lanthanum (La), yttrium (Y), barium (Ba), thallium (Tl), and bismuth (Bi) when present in high-temperature ceramic superconductors are detailed. These configurations play an essential role in the chemical reactions and physical properties of the elements, with emphasis on the valence electrons.

The electron configurations for the elements copper (Cu), oxygen (O), lanthanum (La), yttrium (Y), barium (Ba), thallium (Tl), and bismuth (Bi) in high-temperature ceramic superconductors can be represented as below:

These elements in ceramic superconductors gain extra stability from either half-filled or completely filled sub-shells. In the case of copper (Cu), an electron moves from the 4s to the 3d orbital to gain the extra stability of filled 3d sub-shell. The electron configurations determine the valence electrons, which play a vital role in chemical reactions as well as some physical properties of the elements.

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Final answer:

Electron configurations for Cu, O, La, Y, Ba, Tl, and Bi in noble gas notation provide insights into their roles in high-temperature superconductors, demonstrating how their electron arrangements affect superconductivity.

Explanation:

Writing the electron configurations for the elements Cu, O, La, Y, Ba, Tl, and Bi in noble gas notation provides insight into their potential behavior in high-temperature ceramic superconductors. This approach simplifies understanding electron arrangements by referencing the closest noble gas with a lower atomic number and adding the subsequent electrons according to the order defined by quantum mechanics.

Each element's electron configuration is key to understanding its chemical properties and reactivity, especially in the context of high-temperature superconductivity, where electron mobility and interaction play a critical role.