Question

A fixed mass of gas at constant pressure occupies a volume
V. The gas undergoes a rise in temperature so that the root
mean square velocity of its molecules is doubled. The new
volume will be
(a) V/2 (b) V / √2
(c) 2 V (d) 4 V

Answer 1

Since V rrm is doubled by increasing the temp. so by

V rms = ✓3KT/m, the temp. increase by four times.

Now for constant pressure

V 1/T 1= V 2/T 2

V 1 = V.T 1= T 0K

T 2 = 4T0 K, V 2= ?

V 2=4V

hope it helps you