Which of the following p-V curve represents the maximum work done?   1. 2. 3. 4.

Subtopic:  2nd & 3rd Law of Thermodynamics |
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The work done when 1 mole of gas expands reversibly and isothermally from pressure of 5 atm to 1 atm at 300 K is

(Given log 5=0.6989 and R=8.314 J K-1 mol-1)
1.  zero J
2.  150 J
3.  +4014.6 J
4.  -4014.6 J

Subtopic:  First Law of Thermodynamics |
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Tin is obtained from cassiterite by reduction with coke. Use the data given below to determine the minimum temperature (in K) at which the reduction of cassiterite by coke would take place at -
$$298 \mathrm{~K}: \Delta_{f} H^{\circ}\left[\mathrm{SnO}_{2}(s)\right]=-581.0 kJ \mathrm{~mol}^{-1}$$
\begin{aligned} &\Delta_{f} H^{\circ}\left[\left(CO_{2}\right)(g)\right]=-394.0 k J mol^{-1} \\ &S^{\circ}\left[\mathrm{SnO}_{2}(s)\right]=56.0 JK^{-1} \mathrm{~mol}^{-1} \\ &S^{\circ}[\operatorname{Sn}(s)]=52.0 \mathrm{~J} \mathrm{~K}^{-1} \mathrm{~mol}^{-1} \\ &S^{\circ}[C(s)]=6.0 \mathrm{JK}^{-1} \mathrm{~mol}^{-1} \\ &S^{\circ}\left[\mathrm{CO}_{2}(g)\right]=210.0 \mathrm{~J} \mathrm{~K}^{-1} \mathrm{~mol}^{-1} \end{aligned}
(Assume that the enthalpies and the entropies are temperature independent)
1. 298 K
2. 450 K
3. 935K
4. 900 K
Subtopic:  Spontaneity & Entropy |
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One mole of an ideal gas at 900 K undergoes two reversible processes, I followed by II, as shown below. If the work done by the gas in the two processes is same, the value of $$ln {V_3 \over V_2}$$ is -

(U: internal energy, S: entropy, p: pressure, V: volume, R: gas constant)
(Given : molar heat capacity at constant volume, $$C_{v,m}$$ of the gas is $${ 5 \over 2 }R$$)
1. 5
2. 10
3. 0.1
4. 0.5
Subtopic:  First Law of Thermodynamics |
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Assuming the water vapour to be a perfect gas. When 1 mol of water at 100°C and 1 bar pressure is converted to ice at 0°C, the change in internal energy is-

(The enthalpy of fusion of ice = 6.00 kJ mol-1 , heat capacity of water = 4.2 J/g°C)

1. 13.56 kJ mol-1

2. -12.16 kJ mol-1

3. -13.56 kJ mol-1

4. 12.16 kJ mol-1

Subtopic:  Thermochemistry |
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Two litres of 1 mol an ideal gas at a pressure of 10 atm expands isothermally at 25 °C into a vacuum until its total volume is 10 litres. The amount of heat absorbed during expansion is-

1. 51. 39 atm L

2. 39.36 atm L

3. 37. 34 atm ml

4. 26. 49 atm L

Subtopic:  First Law of Thermodynamics |
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For irreversible expansion of an ideal gas under isothermal condition, the correct option is :

1.

2.

3.

4.

Subtopic:  Spontaneity & Entropy |
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Which one among the following is the correct option for right relationship between Cp and CV for one mole of an ideal gas ?

1. ${\mathrm{C}}_{\mathrm{P}}={\mathrm{RC}}_{\mathrm{V}}$

2. ${\mathrm{C}}_{\mathrm{V}}={\mathrm{RC}}_{\mathrm{P}}$

3. ${\mathrm{C}}_{\mathrm{P}}+{\mathrm{C}}_{\mathrm{V}}=\mathrm{R}$

4. ${C}_{\mathrm{P}}-{\mathrm{C}}_{\mathrm{V}}=\mathrm{R}$

Subtopic:  Cp & Cv |
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Consider the following diagram for a reaction $\mathrm{A}\to \mathrm{C}$:

The nature of the reaction is-

1. Exothermic

2. Endothermic

3. Reaction at equilibrium

4. None of the above

Subtopic:  Enthalpy & Internal energy |
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Consider the following diagram for a reaction $\mathrm{A}\to \mathrm{C}$

The nature of the reaction is-

1. Exothermic

2. Endothermic

3. Reaction at equilibrium

4. None of the above

Subtopic:  Enthalpy & Internal energy |
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