A gas at N.T.P. is suddenly compressed to onefourth of its original volume. If γ = 1.5, then the final pressure is (a) 4 times (b) 1.5 times (c) 8 times (d) 1/4 times

Answer: (c). Sudden compression is adiabatic: (P₂)/(P₁) = ((V₁)/(V₂))γ. (P₂)/(P₁) = 41.5 = 8 So the answer is (c) 8 times.

A gas at N.T.P. is suddenly compressed to onefourth of its original… | MHT CET 2023 (9 May, Shift 2)

Q152MHT CET 2023 · 9 MAY · SHIFT 2Medium

Thermodynamic Processes

A gas at N.T.P. is suddenly compressed to onefourth of its original volume. If $\gamma = 1.5$ , then the final pressure is

Show answer and solution

Answer: (c)

Sudden compression is adiabatic: $\frac{P_2}{P_1} = \left(\frac{V_1}{V_2}\right)^\gamma$ .
$\frac{P_2}{P_1} = 4^{1.5} = 8$
So the answer is (c) 8 times.

A gas at N.T.P. is suddenly compressed to (1/4) th of its original volume. The final…MHT CET 2023 (9 May, Shift 1)
A sample of gas at temperature T is adiabatically expanded to double its volume. The work…JEE Main 2023 (1 Feb, Shift 1)
A hypothetical gas expands adiabatically such that its volume changes from 8 litres to 27…JEE Main 2023 (31 Jan, Shift 2)
A monoatomic gas at pressure ' P ', having volume ' V ' expands isothermally to a volume…MHT CET 2023 (11 May, Shift 1)
Consider two containers A and B containing monoatomic gases at the same Pressure (P)…JEE Main 2023 (10 Apr, Shift 1)
A monoatomic ideal gas initially at temperature ' T₁ ' is enclosed in a cylinder fitted…MHT CET 2023 (12 May, Shift 2)
The thermodynamic process in which no work is done on or by the gas isMHT CET 2022 (11 Aug, Shift 2)
A diatomic gas ( γ = 1.4) does 400J of work when it is expanded isobarically. The heat…JEE Main 2022 (27 Jun, Shift 2)