Thermodynamics

The pressure p, volume V and temperature T for a certam gas are related by $\mathrm{p} = \frac{\mathrm{AT} - {\mathrm{BT}}^2}{\mathrm{V}}$, where A and B are constants. The work done by the gas when the temperature changes from T₁ to T₂ while the pressure remains constant, is given by

• A (T₂ − T₁) + B (T₂² − T₁²)

• $\frac{\mathrm{A} \left({\mathrm{T}}_2 - {\mathrm{T}}_1\right)}{{\mathrm{V}}_{2 }- {\mathrm{V}}_1} - \frac{\mathrm{B} \left({{\mathrm{T}}_2}^2 - {{\mathrm{T}}_1}^2\right)}{{\mathrm{V}}_{2 }- {\mathrm{V}}_1}$

• $\mathrm{A} \left({\mathrm{T}}_2 - {\mathrm{T}}_1\right) - \frac{\mathrm{B}}{2} \left({{\mathrm{T}}_2}^2 - {{\mathrm{T}}_1}^2\right)$

• $\frac{\mathrm{A} \left({\mathrm{T}}_2 - {{\mathrm{T}}_1}^2\right)}{{\mathrm{V}}_2 - {\mathrm{V}}_1}$

Assertion: In an adiabatic process, change in internal energy of a gas is equal to work done on or by the gas in the process.

Reason: Temperature of gas remains constant in an adiabatic process.

• If both assertion and reason are true and reason is the correct explanation of assertion.

• If both assertion and reason are true but reason is not the correct explanation of assertion.

• If assertion is true but reason is false.

• If both assertion and reason are false.