Question

One mole of a gas at NTP is suddenly expanded to 4 times of its initial volume if cv is 2R find the final pressure

Answer 1

Answer:

Given,

one mole of a gas at NTP is suddenly expanded to 4 times its initial volume.

To find,

final pressure of gas.

Let initial volume is V,

final volume of gas = 4V

given molar heat capacity at constant volume , Cv = 2R

Explanation:

as gas is suddenly expanded, it means process is adiabatic.

so use formula, PV^γ = constant.

⇒P₁V₁^γ = P₂V₂^γ

⇒PV^γ = P₂(4V)^γ

⇒PV^1.5 = P₂(4V)^1.5

⇒P(1/4)^1.5 = P₂

⇒P₂ = P/8

but normal Temperature and pressure, pressure P = 1 atm

initial pressure is P.therefore final pressure of gas is 0.125 atm.

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