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17
MCQ (Multiple Correct Answer)

The spontaneity means, having the potential to proceed without the assistance of external agency. The processes which occur spontaneously are

A
flow of heat from colder to warmer body
B
gas in a container contracting into one corner
C
gas expanding to fill the available volume
D
burning carbon in oxygen to give carbon dioxide
18
MCQ (Multiple Correct Answer)

For an ideal gas, the work of reversible expansion under isothermal condition can be calculated by using the expression $W=-n R T \ln \frac{V_f}{V_i}$. A sample containing 1.0 mol of an ideal gas is expanded isothermally and reversible to ten times of its original volume, in two separate experiments. The expansion is carried out at 300 K and at 600 K respectively. Choose the correct option.

A
Work done at 600 K is 20 times the work done at 300 K
B
Work done at 300 K is twice the work done at 600 K
C
Work done at 600 K is twice the work done at 300 K
D
$\Delta U=0$ in both cases
19
MCQ (Multiple Correct Answer)

Consider the following reaction between zinc and oxygen and choose the correct options out of the options given below

$$2 \mathrm{Zn}(s)+\mathrm{O}_2(g) \rightarrow 2 \mathrm{ZnO}(s) ; \Delta H=-693.8 \mathrm{~kJ} \mathrm{~mol}^{-1}$$

A
The enthalpy of two moles of ZnO is less than the total enthalpy of two moles of Zn and one mole of oxygen by 693.8 kJ
B
The enthalpy of two moles of ZnO is more than the total enthalpy of two moles of Zn and one mole of oxygen by 693.8 kJ
C
$693.8 \mathrm{~kJ} \mathrm{~mol}^{-1}$ energy is evolved in the reaction
D
$693.8 \mathrm{~kJ} \mathrm{~mol}^{-1}$ energy is absorbed in the reaction
20
Subjective

18.0 g of water completely vaporises at $100^{\circ} \mathrm{C}$ and 1 bar pressure and the enthalpy change in the process is $40.79 \mathrm{~kJ} \mathrm{~mol}^{-1}$. What will be the enthalpy change for vaporising two moles of water under the same conditions? What is the standard enthalpy of vaporisation for water?

Explanation

Given that, quantity of water $=18.0 \mathrm{~g}$, pressure $=1$ bar

As we know that, $18.0 \mathrm{~g~H}_2 \mathrm{O}=1 \mathrm{~mole~H}_2 \mathrm{O}$

Enthalpy change for vaporising $1 \mathrm{~mole}^{-1} \mathrm{H}_2 \mathrm{O}=40.79 \mathrm{~kJ} \mathrm{~mol}^{-1}$

$\therefore$ Enthalpy change for vaporising 2 moles of $\mathrm{H}_2 \mathrm{O}=2 \times 40.79 \mathrm{~kJ}=81.358 \mathrm{~kJ}$

Standard enthalpy of vaporisation at $100^{\circ} \mathrm{C}$ and 1 bar pressure, $\Delta_{\text {vap }} H^{\circ}=+40.79 \mathrm{~kJ} \mathrm{~mol}^{-1}$

21
Subjective

One mole of acetone requires less heat to vaporise than 1 mole of water. Which of the two liquids has higher enthalpy of vaporisation?

Explanation

One mole of acetone requires less heat to vaporise than 1 mole of water. Hence, acetone has less enthalpy of vaporisation and water has higher enthalpy of vaporisation. It can be represented as $\left(\Delta H_V\right)$ water $>\left(\Delta H_V\right)$ acetone.