One mole of ideal monoatomic gas expands according to the law P ∝ V 2 1 . Initial temperature of gas is T 0 , Select the CORRECT statement :-

Question

One mole of ideal monoatomic gas expands according to the law P ∝ V 2 1 ​ . Initial temperature of gas is T 0 ​ , Select the CORRECT statement :-

TestHub · Accepted Answer

P ∝ V 2 1 ​ ⇒ P = V 2 k ​ P V = RT ⇒ T = R V k ​ T ∝ V 1 ​ V f ​ = 2 V i ​ ⇒ T f ​ = 2 T 0 ​ ​ W = 1 − x R ( T f ​ − T i ​ ) ​ , x = 2 W = 1 − 2 R ( T 0 ​ /2 − T 0 ​ ) ​ = 2 R T 0 ​ ​ C = C V ​ + 1 − x R ​ C = 2 3 R ​ + 1 − 2 R ​ = 2 R ​ T f ​ < T i ​ Q = C ( T f ​ − T i ​ ) < 0 Hence A and C are correct.

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