wiz-icon
MyQuestionIcon
MyQuestionIcon
1
You visited us 1 times! Enjoying our articles? Unlock Full Access!
Question

The root mean square velocity of an ideal gas in a closed container of fixed volume is increased from 5×104cms1 to 10×104cms1. Which of the following statements correctly explains how the change is accomplished?

A
By heating the gas, the temperature is doubled.
No worries! We‘ve got your back. Try BYJU‘S free classes today!
B
By heating the gas, the pressure is quadrupled.
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
C
By heating the gas, the temperature is quadrupled.
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
D
By heating the gas, the pressure is doubled.
No worries! We‘ve got your back. Try BYJU‘S free classes today!
Open in App
Solution

The correct options are
A By heating the gas, the pressure is quadrupled.
C By heating the gas, the temperature is quadrupled.
μrms=3RTM or 3PVM

(μrms)1=5×104cms1

(μrms)2=10×104cms1

P1=(μrms)21×M3V=(5×104)2×M3V

P2=(μrms)22×M3V=(10×104)2×M3V

or P2P1=(10×104)2(5×104)2=10025=4

P2=4×P1

Similarily, T2=4×T1

Hence, the correct options are B and C

flag
Suggest Corrections
thumbs-up
0
Join BYJU'S Learning Program
similar_icon
Related Videos
thumbnail
lock
The Gas Laws
CHEMISTRY
Watch in App
Join BYJU'S Learning Program
CrossIcon