The rms speed of the molecules of a gas at a pressure 10^5 PA and temperature 0o C is 0.5 km s^-1

Question

The rms speed of the molecules of a gas at a pressure 10⁵ PA and temperature 0° C is 0.5 km s^-1. if the pressure is kept constant but temperature is raised to 819^° C the velocity will become : 

(A) 1 km s^-1. 

(B) 1.5 km s^-1. 

(C) 2 km s^-1. 

(D) 5 km s^-1

Answer 1

Answer is (A) 1 km s^-1.

C₁/C₂ = [T₁/T₂]^1/2. here C₁ = 0.5 kms^-1., T₁ = 0° C = 273 K, T₂ = 819° C = 1092 K

Hence C₂ = 1 kms^-1.