Find the relation between pressure and volume changes for the adiabatic expansion of an ideal gas.

1. ΔP/P = ΔV/V
2. ΔP/P = −γ ΔV/V
3. ΔP/P = γ ΔV/V
4. ΔP/P = −γ² ΔV/V

What happens to a gas when it expands at constant temperature and pressure?

1. Internal energy decreases

2. Entropy increases and then decreases

3. Internal energy increases

4. Internal energy remains constant

If a gas absorbs 200 J of heat and expands by 500 ${\mathrm{cm}}^3$ against the constant pressure of 2x${10}^5$ Nm^-2, then the change in internal energy is :

1. $-$200 J

2. $-$100J

3. +100J

4. + 300J

The internal energy of a substance does not depend upon:

1. Translational energy

2. Vibrational energy

3. Energy due to the gravitational pull

4. Rotational energy

Internal energy (E) and pressure of a gas of unit volume are related

as

(1) $P=\frac{2}{3}E<mspace\; width="1em"></mspace><mspace\; width="1em"></mspace><mspace\; width="1em"></mspace><mspace\; width="1em"></mspace>$
$$

(2) $P=\frac{3}{2}E<mspace\; width="1em"></mspace><mspace\; width="1em"></mspace><mspace\; width="1em"></mspace>$

(3) $<mspace\; width="1em"></mspace><mspace\; width="1em"></mspace>P=\frac{E}{2}<mspace\; width="1em"></mspace><mspace\; width="1em"></mspace><mspace\; width="1em"></mspace><mspace\; width="1em"></mspace><mspace\; width="1em"></mspace>$

(4) P=2E

Identify the false statement among the following.

Find the correct entropy condition for a spontaneous process.

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

For which of the following processes will the entropy increase?

Which of the following is the correct first law thermodynamics equation?
1. \(U=\Delta Q-W \)
2. \(\Delta W=\Delta U+\Delta Q \)
3. \(\Delta U=\Delta W+\Delta Q\)
4. None of the above
 

Which of the following conditions result in a spontaneous reaction?

1. Exothermic and increasing disorder

2. Exothermic and decreasing disorder

3. Endothermic and increasing disorder

4. Endothermic and decreasing disorder