A diatomic gas of molecular weight 30 gm/mole is filled in a container at 300 K. The container is moving at a velocity 100 m/s. If it is suddenly stopped, the rise in temperature of gas is ( R 10 x

Question

A diatomic gas of molecular weight 30 gm/mole is filled in a container at 300 K. The container is moving at a velocity 100 m/s. If it is suddenly stopped, the rise in temperature of gas is ( R 10 x ​ ) K, where R is universal gas constant. Find the value of x in joule/mole.

TestHub · Accepted Answer

KE per mole = 2 1 ​ M v 2 = 2 1 ​ ( 0.030 ) ( 100 ) 2 = 150 J/mol This goes into internal energy: C v ​ Δ T = 150 with C v ​ = 2 5 ​ R for a diatomic gas. Δ T = 5 R 150 × 2 ​ = R 60 ​ = R 10 x ​ ⇒ x = 6 Answer: 6.

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