Question

What is the heat capacity (defined as energy in joules necessary to raise it's temperature by one degree C) of a mole of a monatomic gas?

Answer 1

The heat capacity depends on whether the heat is being added at constant volume or constant pressure. The general equation for heat capacity is q= nC(delta T)

delta T= change in temperature, here as given it is 1 K and

n= no. Of miles , again as given here , n= 1 mole

=> q = C

now ,

a) At constant volume;

q= C_v   Where , C_v is the specific heat capacity at constant volume .

_** for monoatomic gases C_v = (3/2)R

therefore at constant volume, for monoatomic gases

q= (3/2)R

b) at constant pressure;

q= C_p where , C_p = specific heat capacity at constant pressure

** for monoatomic gases C_p= (5/2)R

therefore at constant pressure, for monoatomic gases

q= (5/2)R

Where R is the specific gas constant.