Question

The viscosity of a gas depends on mass, the effective diameter and the mean speed of the molecules. At room temperature, for He, η
He
​
=2×10
−5
kgm
−1
s
−1
and for CH
4
​
, η
CH
4
​

​
=1.1×10
−5
kgm
−1
s
−1
. The diameter of the He atom is 2.1×10
−10
m . lf the diameter of CH
4
​
is n×10
−10
m, find
′
n
′

Answer 1

Answer:

The viscosity of a gas depends on mass, the effective diameter and the mean speed of the molecules. At room temperature, for He, η

He

=2×10

−5

kgm

−1

s

−1

and for CH

4

, η

CH

4

=1.1×10

−5

kgm

−1

s

−1

. The diameter of the He atom is 2.1×10

−10

m . lf the diameter of CH

4

is n×10

−10

m, find

′

n

′

.

Given mean speed of the molecules of the gas v∝

m

K

B

T

, where K

B

is the boltzmann's constant , T is temperature and m is the mass of the gas.