At 27° C a gas is compressed suddenly such that its pressure

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At 27° C a gas is compressed suddenly such that its pressure becomes (1/8) of original pressure. Final temperature will be (γ = 5/3)

1. 420 K
2. 300 K
3. – 142°C
4. 327°C

Correct Option: C

T₁^γ P₁^{1 - γ} = T₂^γ P₂^{1 - γ}

⇒		T₂		^γ	=		P₁		^{1 - γ}
		T₁					P₂

⇒ T₂ = T₁		P₁		^{(1 - γ) / γ}	= 300 × (8)^{–2 / 5} = 142°C
		P₂