A vessel of volume `0.2 m^(3)` contains hydrogen gas at temperature 300 K and pressure 1 bar. Find the heat required to raise the temperature to 400 K. The molar heat capacity of hydrogen at constant volume is `5 cal//mol K`.

Answer

4

Explanation

As the volume of the gas remains constant, `(Delta Q)_V = mu C_v Delta T`
Here `C_v =("50 cal ")/("mol K")` And `Delta t = ( 400 - 300) = 100 K`
And so for ideal gas `PV = mu RT," "mu = ((10)^5 xx(0.2))/(8.31 xx 300 ) 8 mol , (Delta Q)_v = 8xx5xx100 = "4 k ca l" `