The molar heat capacity for an ideal gas at constant pressure is 20 . 785 J K - 1 mol - 1 . The change in internal energy is 5000 J upon heating it from 300 K to 500 K . The number of moles of the gas at constant volume is____ (Given: R = 8 . 314 J K - 1 mol - 1 )

Step-by-step solution

Molar specific heat capacity at constant pressure is defined as the amount of heat energy required to raise the temperature of one mole of a substance through 1 K or 1 ° C at constant pressure. It is denoted by C p , m . Molar specific heat capacity at constant volume is defined as the amount of heat energy required to raise the temperature of one mole of a substance through 1 K or 1 ° C at constant volume. It is denoted by C v , m . C v , m = 1 n ∆ U ∆ T C p , m = C v , m + R ⇒ C v , m