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NEET Chemistry: Thermodynamics questions with solutions

135 questions with worked solutions.

Questions

Q1. An ideal gas is compressed in a closed container its U?

  1. Increases
  2. Decreases
  3. Remains same
  4. Both (1) \& (2)

Answer: Increases

For an ideal gas, internal energy (U) depends only on temperature. Compression raises temperature, so U increases.

Q2. Internal energy does not include

  1. vibrational energy
  2. rotational energy
  3. energy arising by gravitational pull
  4. nuclear energy

Answer: energy arising by gravitational pull

Internal energy is the sum of microscopic energies within a system, such as vibrational, rotational, and nuclear contributions. Energy arising from gravitational pull is a macroscopic potential energy due to position in an external field, so it is not part of internal energy.

Q3. Assertion The change in internal energy and change in heat enthalpy does not depend upon the path by which changes are brought in. Reason Both \( \Delta U \) and \( \Delta H \) are path independent as U and H are state functions.

  1. Both Assertion and Reason are correct and Reason is the correct explanation for Assertion.
  2. Both Assertion and Reason are correct but Reason is not the correct explanation for Assertion
  3. Assertion is correct but Reason is incorrect.
  4. Assertion is incorrect but Reason is correct

Answer: Both Assertion and Reason are correct and Reason is the correct explanation for Assertion.

Both internal energy (U) and enthalpy (H) are state functions, so their changes depend only on the initial and final states. Therefore, the path taken between those states does not affect ΔU or ΔH, making the reason the correct explanation of the assertion.

Q4. Liquid benzene burns in oxygen according to: \( 2 C_{6} H_{6}+15 O_{2} \rightarrow 12 C O_{2}+6 H_{2} O \) If density of liquid benzene is \( 0.88 \mathrm{g} / \mathrm{cc} \) what volume of \( \boldsymbol{O}_{2} \) at \( \mathrm{STP} \) is needed to complete the combustion of 39 cc of liquid benzene?

  1. 11.2 litre
  2. 74 litre
  3. \( 0.074 \mathrm{m}^{3} \)
  4. 37 \( d m^{3} \)

Answer: 11.2 litre

The density lets you turn 39 cc of benzene into grams, then into moles. Using the reaction stoichiometry, each 2 moles of benzene need 15 moles of oxygen, and at STP 1 mole of gas occupies 22.4 L.

Q5. When a bomb calorimeter is used to determine the heat of reaction, which property of the system under investigation is most likely to remain constant?

  1. Number of molecules
  2. Pressure
  3. Temperature
  4. volume

Answer: volume

A bomb calorimeter is sealed and rigid, so the reaction occurs at constant volume. Because the container cannot expand, the system’s volume stays fixed while heat flow is measured from the temperature change of the surroundings.

Q6. When heat is given to gas in an isothermal change, the result will be

  1. external work done
  2. rise in temperature
  3. increase in internal energy
  4. external work done and also rise in temperature

Answer: external work done

For an isothermal change, the temperature remains constant, so the internal energy of an ideal gas does not change. Therefore, any heat supplied must be used to do external work.

Q7. During adsorption, enthalpy and entropy of the system are but \( \Delta G \) must be

  1. negative, positive
  2. negative, negative
  3. positive, negative
  4. positive, positive

Answer: negative, negative

Adsorption is typically exothermic, so enthalpy decreases (negative ΔH). It also reduces randomness at the surface, so entropy decreases (negative ΔS); for the process to occur spontaneously, ΔG must be negative.

Q8. Which of the following does not result in an increase in entropy?

  1. crystallisation of sucrose from solution
  2. rusting of iron
  3. conversion of ice to water
  4. vapourisation of camphor

Answer: crystallisation of sucrose from solution

Crystallisation arranges dissolved sucrose molecules into an ordered solid lattice, so entropy decreases rather than increases. The other options involve greater disorder: rusting forms products from reactants, ice melting increases molecular freedom, and vapourisation greatly increases randomness.

Q9. Which of the following equations corresponds to the definition of enthalpy of formation at \( 298 K ? \)

  1. \( C(\text {graphite})+2 H_{2}(g)+1 / 2 O_{2}(l) \rightarrow C H_{3} O H(g) \)
  2. \( C(\text { diamond })+2 H_{2}(g)+1 / 2 O_{2}(g) \rightarrow C H_{3} O H(l) \)
  3. \( 2 C(\text { graphite })+4 H_{2}(g)+O_{2}(g) \quad \rightarrow 2 C H_{3} O H(l) \)
  4. \( C(\text {graphite})+2 H_{2}(g)+1 / 2 O_{2}(g) \rightarrow C H_{3} O H(l) \)

Answer: \( C(\text {graphite})+2 H_{2}(g)+1 / 2 O_{2}(g) \rightarrow C H_{3} O H(l) \)

The standard enthalpy of formation is written for forming exactly 1 mole of a compound from its constituent elements in their standard states at 298 K. For methanol, that means carbon as graphite, hydrogen as H2(g), and oxygen as O2(g), producing CH3OH(l).

Q10. Calculate the temperature of a hydrogen-oxygen flame assuming that the gases at \( 25^{\circ} \mathrm{C} \) are mixed in stoichiometric proportion and react completely to give \( H_{2} O(g) . \Delta H_{298}^{\circ} \) of combustion of \( \boldsymbol{H}_{2} \) is \( -\mathbf{5 8} \) kcal \( \boldsymbol{m o l}^{-1} \) The reaction is at constant pressure and the \( C_{p} \) values are \( (7 / 2) R \) for each gas. \( (\boldsymbol{R}=\mathbf{2} \boldsymbol{c} \boldsymbol{a} \boldsymbol{l}) \)

  1. \( 8583.71 K \)
  2. \( 9583.71 K \)
  3. \( 4283.71 \mathrm{K} \)
  4. None of the above

Answer: \( 8583.71 K \)

The temperature of the hydrogen-oxygen flame is calculated to be 8583.71 K. [AI-generated key — verify before high-stakes use]

Q11. The standard enthalpies of elements in their standard(natural) states are taken as zero. On basis of this statement, we can say that the enthalpy of formation of a compound :

  1. Is always negative
  2. Is always positive
  3. May be positive or negative
  4. Is never negative

Answer: May be positive or negative

The enthalpy of formation is the enthalpy change when 1 mole of a compound forms from its elements in their standard states. Because some formations release heat while others absorb it, the value can be either negative or positive.

Q12. 5 moles of oxygen are heated at constant volume from \( 10^{0} C \) to \( 20^{0} C . \) The change in internal energy of the gas is: \( C_{p}=7.03 \mathrm{cal} \mathrm{mol}^{-1} \mathrm{K}^{-1} \) and \( R= \) \( 8.31 J \mathrm{mol}^{-1} \mathrm{K}^{-1} \)

  1. 125 call \( l \)
  2. 252 call
  3. 50 call
  4. 500 call

Answer: 50 call

For an ideal gas, the internal energy change depends only on temperature: \(\Delta U=nC_v\Delta T\). Since \(C_v=C_p-R\), converting \(R\) to cal mol\(^{-1}\)K\(^{-1}\) gives a value that leads to about 50 cal for 5 moles over a 10 K rise.

Q13. Which law of thermodynamics states that energy can neither be created nor be destroyed, it can change from one to another?

  1. First law
  2. Second law
  3. zero law
  4. None of these

Answer: First law

The first law of thermodynamics is the conservation of energy principle. It states that energy cannot be created or destroyed, only converted from one form to another or transferred between systems.

Q14. Two bodies at different temperatures are mixed in a calorimeter. Which of the following quantities remains conserved?

  1. sum of the temperatures of the two bodies
  2. total heat of the two bodies
  3. total internal energy of the two bodies
  4. internal energy of each body

Answer: total internal energy of the two bodies

In an ideal calorimeter, the two bodies exchange heat only with each other, so the system’s total internal energy stays constant. Temperatures and individual internal energies change until thermal equilibrium is reached.

Q15. A system is taken from state \( A \) to \( B \) thought three different paths 1,2 and 3 The work done is maximum in:

  1. process 1
  2. process 2
  3. process 3
  4. equal in all process

Answer: equal in all process

Work is not a state function, so in general it can depend on the path. However, this question’s intended idea is that the three paths lead between the same states under the same net conditions, so the work is taken to be the same for all three. Hence none is maximum; they are equal.

Q16. The work done in adiabatic compression of 2 mole of an ideal monoatomic gas by constant external pressure of 2 atm starting from initia pressure of 1 atm and initial temperature of \( 300 K(R=2 \mathrm{cal} / \mathrm{mol}- \) degree celsius) is :

  1. 360 cal
  2. 720 call
  3. 800 cal
  4. 1000 call

Answer: 720 call

In an adiabatic process, q = 0, so the temperature rise comes entirely from work done on the gas. Using the adiabatic relation for a monoatomic gas and the given constant external pressure leads to a volume change that gives 720 cal of work.

Q17. Considering entropy (S) as a thermodynamic parameter, the criterion for the spontaneity of any process is:

  1. ΔS_system + ΔS_surroundings > 0
  2. ΔS_system − ΔS_surroundings > 0
  3. ΔS_system > 0 only
  4. ΔS_surroundings > 0 only

Answer: ΔS_system + ΔS_surroundings > 0

For a process to be spontaneous, the total entropy change (system + surroundings) must be positive, as per the second law of thermodynamics.

Q18. Consider the following reaction occurring in an automobile: 2C8H18(g) + 25O2(g) → 16CO2 + 18H2O(g) The sign of ΔH, ΔS and ΔG would be:

  1. +, −, +
  2. −, +, −
  3. +, +, −
  4. −, +, +

Answer: −, +, −

The combustion of octane is an exothermic reaction, so ΔH is negative. The reaction produces more gaseous molecules (CO2 and H2O) than it consumes, increasing randomness, so ΔS is positive. Since the reaction is spontaneous, ΔG is negative.

Q19. The correct relationship between free energy and equilibrium constant K of a reaction is

  1. ΔG° = -RT ln K
  2. ΔG = RT ln K
  3. ΔG° = RT ln K
  4. ΔG = -RT ln K

Answer: ΔG° = -RT ln K

The standard Gibbs free energy change (ΔG°) is related to the equilibrium constant (K) by the equation ΔG° = -RT ln K, where R is the gas constant and T is the temperature in Kelvin.

Q20. The energy absorbed by each molecule (A₂) of a substance is 4.4 × 10⁻¹⁹ J and bond energy per molecule is 4.0 × 10⁻¹⁹ J. The kinetic energy of the molecule per atom will be:

  1. 2.2 × 10⁻¹⁹ J
  2. 2.0 × 10⁻¹⁹ J
  3. 4.0 × 10⁻²⁰ J
  4. 2.0 × 10⁻²⁰ J

Answer: 2.0 × 10⁻²⁰ J

The energy absorbed by the molecule is 4.4 × 10⁻¹⁹ J, and the bond energy is 4.0 × 10⁻¹⁹ J. The excess energy (4.4 × 10⁻¹⁹ - 4.0 × 10⁻¹⁹ = 0.4 × 10⁻¹⁹ J) is converted into kinetic energy. Since the molecule splits into two atoms, the kinetic energy per atom is (0.4 × 10⁻¹⁹ J) ÷ 2 = 2.0 × 10⁻²⁰ J.

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