The initial pressure and volume of an ideal gas are   P 0 and V 0 . The final pressure of the gas when…

The initial pressure and volume of an ideal gas are P0 and V0. The final pressure of the gas when the gas is suddenly compressed to volume V04 will be:

(Given γ= ratio of specific heats at constant pressure and at constant volume.)

  1. P0(4)γ

  2.   4P0

  3. P0

  4. P0(4)1γ

Solution

As the gas is suddenly compressed the process is adiabatic.

So, PVγ=constant

P0V0γ=P·V04γ

P=4γ·P0

Asked in: JEE Main 2023 (13 Apr Shift 2)

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