Student Login

Home›Chapters›Thermodynamics PYQs›Thermodynamic Processes›Question 15

MHT CET 2026 (15 May, Shift 2) · Thermodynamic Processes

Thermodynamic Processes question from MHT CET 2026 (15 May, Shift 2)

Q15MHT CET 2026 · 15 MAY · SHIFT 2Medium

Thermodynamic Processes

Two moles of a rigid diatomic gas does a work $\frac{Q}{4}$ when the amount of heat supplied is $Q$ . In this process the total heat capacity of the gas is ( $R$ = gas constant)

Show answer and solution

Answer: (d)

First law: $\Delta U = Q - \dfrac{Q}{4} = \dfrac{3Q}{4}$ .
$\Delta U = nC_v\Delta T = 2 \times \dfrac{5}{2}R\,\Delta T = 5R\,\Delta T \Rightarrow \Delta T = \dfrac{3Q}{20R}$
Total heat capacity $= \dfrac{Q}{\Delta T} = \dfrac{20R}{3}$
So the answer is (d) $\dfrac{20R}{3}$ .

Report a mistake

More questions on Thermodynamic Processes

How much heat energy in joule must be supplied to 14 g of nitrogen at room temperature to…MHT CET 2026 (15 May, Shift 1)
If the ratio of molar heat capacities (Cp)/(Cv) = γ then the ratio of (Δ Q)/(Δ U) and (Δ…MHT CET 2026 (14 May, Shift 2)
Heat required to raise the temperature of 2 mol of an ideal gas at constant pressure from…MHT CET 2026 (14 May, Shift 2)
Six moles of oxygen gas is heated from 20° C to 35° C at constant volume. If specific…MHT CET 2026 (13 May, Shift 1)
The r.m.s. speed of hydrogen at S.T.P. is ' u ' m/s. If the gas is heated at constant…MHT CET 2026 (18 Apr, Shift 1)
Two cylinders A and B fitted with pistons contain equal amount of an ideal diatomic gas…MHT CET 2026 (17 Apr, Shift 2)
The heat energy that must be supplied to 14 g of nitrogen at room temperature to raise…MHT CET 2026 (17 Apr, Shift 1)
The change in internal energy of the mass of gas, when the volume changes from V to 2V at…MHT CET 2026 (13 Apr, Shift 1)