Question

the volume of 1kg of hydrogen gas at N.T.P is 11.2m3.specific heat of hydrogen at constant volume is 10046J/kg K .find the specific heat at constant pressure in J/kg k

Answer 1

Specific heat at constant pressure is 13841.97 J/kg-K

We know that N.T.P condition as follows

P=1.01×$10^{5}$ N/m^2, T=25°  C= 298 K

Applying gas equation

PV=mRT

plugging the values in the above equation

1.01*10^5*11.2=1*R*298

R=3795.97 J/kg-K

Now according to the Mayer's law

C_p-C_v=R

Plugging the values in the above equation

C_p-10046=3795.97

C_p=13841.97 J/kg-K