Question

A diatomic gas undergoes adiabatic compression and its volume reduces to half of initial volume then its final pressure would be if initial pressure of gas is P -

Answer 1

Answer:

its volume is going to be decreased.

Answer 2

A diatomic gas undergoes adiabatic compression

Explanation:

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Lets take

Initial volume = V₁

Initial pressure = P₁

Final volume = V₂

Final pressure = P₂

Given that

V₂= 0.5 V₁

P₁= P

γ = 1.4 ( for diatomic gas)

We know that ,equation for adiabatic process

$P_1V_1^{\gamma}=P_2V_2^{\gamma}\\P_2=P_1V_1^{\gamma}\times \dfrac{1}{V_2^{\gamma}}\\P_2=PV_1^{1.4}\times \dfrac{1}{(0.5V_1)^{1.4}}\\P_2=2.63\ P$

Therefore the final pressure of the gas will be 2.63 P.