1
MCQ (Single Correct Answer)

AIPMT 2011 Prelims

If the enthalpy change for the transition of liquid water to steam is 30 kJ mol$$-$$1 at 27oC, the entropy change for the process would be
A
10 J mol$$-$$1 K$$-$$1
B
1.0 J mol$$-$$1 K$$-$$1
C
0.1 J mol$$-$$1 K$$-$$1
D
100 J mol$$-$$1 K$$-$$1

Explanation

H2O(l) $$\buildrel {300K} \over \longrightarrow $$ H2O(g)

∆H = 30 kJ mol–1

$$\Delta S = {{\Delta H} \over T}$$ = $${{30 \times {{10}^3}} \over {300}}$$

= 100 J mol–1 K–1
2
MCQ (Single Correct Answer)

AIPMT 2010 Mains

The following two reactions are known

Fe2O3(s) + 3CO(g) $$ \to $$ 2Fe(s) + 3CO2(g); $$\Delta $$H = $$-$$ 26.8 kJ

FeO(s) + CO(g) $$ \to $$  Fe(s) + CO2(g); $$\Delta $$H = $$-$$ 16.5 kJ

The value of $$\Delta $$H for the following reaction

Fe2O3(s) + CO(g) $$ \to $$  2FeO(s) + CO2(g) is
A
+ 10.3 kJ
B
$$-$$ 43.3 kJ
C
$$-$$ 10.3 kJ
D
+ 6.2 kJ

Explanation

Given

Fe2O3(s) + 3CO(g) $$ \to $$ 2Fe(s) + 3CO2(g); $$\Delta $$H = $$-$$ 26.8 kJ .....(1)

FeO(s) + CO(g) $$ \to $$  Fe(s) + CO2(g); $$\Delta $$H = $$-$$ 16.5 kJ .....(2)

Fe2O3(s) + CO(g) $$ \to $$  2FeO(s) + CO2(g), $$\Delta $$H = ? ....(3)

Equation (3) can be calculated as :

(1) - 2(2)

$$ \therefore $$ $$\Delta $$H = –26.8 + 33.0 = +6.2 kJ
3
MCQ (Single Correct Answer)

AIPMT 2010 Mains

For vaporization of water at 1 atmospheric pressure, the values of $$\Delta $$H and $$\Delta $$S are 40.63 kJ mol$$-$$1 and 108.8 J K$$-$$1 mol$$-$$1, respectively. The temperature when Gibb's energy change ($$\Delta $$G) for this transformation will be zero, is
A
273.4 K
B
393.4 K
C
373.4 K
D
293.4 K

Explanation

We know, from Gibb's equation,

$$\Delta $$G = $$\Delta $$H – T$$\Delta $$S

When $$\Delta $$G = 0, $$\Delta $$H = T$$\Delta $$S

$$ \therefore $$ $$T = {{\Delta H} \over {\Delta S}}$$ = $${{40.63 \times {{10}^3}} \over {108.8}}$$ = 373.4 K
4
MCQ (Single Correct Answer)

AIPMT 2010 Mains

Three moles of an ideal gas expanded spontaneously into vacuum. The work done will be
A
infinite
B
3 Joules
C
9 Joules
D
zero

Explanation

Since the ideal gas expands spontaneously into vacuum,, Pext = 0.

$$ \therefore $$ Work done is also zero.

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