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

A gas at 300K has pressure 4×1010N m2. If kB=1.38×1023J K1, the number of molecules per cm3 is of the order of.

A
103
No worries! We‘ve got your back. Try BYJU‘S free classes today!
B
105
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
C
106
No worries! We‘ve got your back. Try BYJU‘S free classes today!
D
109
No worries! We‘ve got your back. Try BYJU‘S free classes today!
Open in App
Solution

The correct option is D 105

Given parameters are

P=4×1010Nm2

T=300K

V=1cm3=106m3

N = No. of molecules

Boltzmann’s constant =kB=1.38×1023JK1

From the ideal gas law, we have

PV=NkBT

N=PVkBT

Substituting the values, we get

N=4×1010×1061.38×1023×300

N=0.967×105

N105

Thus option B is correct.


flag
Suggest Corrections
thumbs-up
0
Join BYJU'S Learning Program
similar_icon
Related Videos
thumbnail
lock
Adaptive Q18 hint
PHYSICS
Watch in App
Join BYJU'S Learning Program
CrossIcon