Question

Calculate the value of gas constant for nitrogen if its density is 1.251 kgm^-3 at N.T.P. (Molecular mass of nitrogen is 28g.) with solution pls​

Answer 1

Density of Nitrogen at NTP=1.25kg/m
3

Density of Oxygen at NTP=1.43kg/m
3

Speed of sound in oxygen is 320m/s
Speed of sound in gases =
M
yRT
​

​

y=1.4 given for both gases
320=
MO
2
​

1.4×8.314kj/kmolek×293
​

​

(320)
2
=
MO
2
​

1.4×8.314KJ/kmolek×293
​

M
O
2
​

​
=
320×320
1.4×8.314kJ/kmolek×293
​

M
O
2
​

​
=33.30kg/kmole
Density =
volume
Mass
​

1.43=
V
33.30
​

V=23.25
For Nitrogen (N
2
​
)
1.25=
23.28
MN
2
​

​

MN
2
​
=29.1kg/kmole
Speed of sound in N
2
​
=
1000
29.1
​

1.4×8.314×293
​

​

Speed of sound in N
2
​
=342.33m/s