Define heat capacity. What are `C_(p) and C_(v)`? Show that `C_(p)-C_(v)=R.`

Define heat capacity and molar heat capacity. How are C_p and C_v related?

What is the relationship between C_(p) and C_(v) ?

The two specific heat capacities of a gas are measured as C_(P)=(12.28+0.2) units and C_(V)=(3.97+0.3) units, if the value of gas constant R is 8.31 pm 0 . x units, the vaslue of x is (Relation : C_(P)-C_(V)=R )