A monoatomic gas (γ = 5/3) initially at 27 having volume ' V ' is suddenly compressed to one- eighth of its original volume (V/8). After the compression its temperature becomes (a) 580 K (b) 1200 K (c) 1160 K (d) 927 K

Answer: (b). Adiabatic: T₂ = T₁((V₁)/(V₂))γ-1, T₁ = 300 K, γ - 1 = 2/3. T₂ = 300 × 82/3 = 300 × 4 = 1200 K So the answer is (b) 1200 K.

A monoatomic gas (γ = 5/3) initially at 27 having volume ' V ' is… | MHT CET 2022 (11 Aug, Shift 2)

Q165MHT CET 2022 · 11 AUG · SHIFT 2Medium

Thermodynamic Processes

A monoatomic gas $\left(\gamma = \frac{5}{3}\right)$ initially at $27^\circ\text{C}$ having volume ' $V$ ' is suddenly compressed to one- eighth of its original volume $\left(\frac{V}{8}\right)$ . After the compression its temperature becomes

Show answer and solution

Answer: (b)

Adiabatic: $T_2 = T_1\left(\frac{V_1}{V_2}\right)^{\gamma-1}$ , $T_1 = 300\ \text{K}$ , $\gamma - 1 = \frac{2}{3}$ .
$T_2 = 300 \times 8^{2/3} = 300 \times 4 = 1200\ \text{K}$
So the answer is (b) 1200 K.

Report a mistake

Thermodynamic Processes question from MHT CET 2022 (11 Aug, Shift 2)

More questions on Thermodynamic Processes