The correct option is B 3×106 N/m2
Given:
Volume of cylinder, V=20 L=20×10−3 m3
Average translational kinetic energy, KE=1.5×105 J
To find:
Pressure of hydrogen in the cylinder, P=?
We know that average translational kinetic energy of a gas is given by,
KE=PVf2,
where f is degree of freedom of the gas.
⇒P=2KEVf
⇒P=2×1.5×10520×10−3×5
[ f=5 for diatomic gases ]
⇒P=3×106 N/m2