The correct option is B 3×106 N/m2
Given:
Volume of cylinder, V=20 L=20×10−3 m3
Degree of freedom of diatomic gas is 5 out of which 3 are translatory and 2 are rotational.
If total energy is Et, then according to law of equipartition of energy, translatory motion energy =35Et.
Given, average translational kinetic energy, KE=1.5×105 J=35Et
So, total K.E, ⇒ Et=5×1.5×1053=2.5×105 J
To find:
Pressure of hydrogen in the cylinder, P=?
P=2Et5V⇒P=2×2.5×10520×10−3×5
[ f=5 for diatomic gases ]
⇒P=5×106 N/m2