A gas at 27ºC temperature and 30 atmospheric pressure is

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A gas at 27ºC temperature and 30 atmospheric pressure is allowed to expand to the atmospheric pressure. If the volume becomes 10 times its initial volume, then the final temperature becomes

1. 100ºC
2. 173ºC
3. 273ºC
4. –173ºC

Correct Option: D

Given : Initial temperature of gas
(T₁) = 27°C = 300 K
Initial pressure (P₁) = 30 atm
Initial volume (V₁) = V
Final pressure (P₁) = 1 atm
Final volume (V₂) = 10 V.
We know from the general gas equation that

	P₁V₁	=	P₂V₂
	T₁		T₂

or,	30 × V	=	1 × 10V
	300		T₂

or, T₂ = 100 K = –173°C.