Consider a cycle tyre being filled with air by a pump. Let V be the volume of the tyre (fixed) and at each stoke of the pump ΔV(<< V) of air is transferred to the tube adiabatically. What is the work done when the pressure in the tube is increased form p_1 to p_2 ?

Q: Consider a cycle tyre being filled with air by a pump. Let V be the volume of the tyre (fixed) and at each stoke of the pump ΔV(<< V) of air is transferred to the tube adiabatically. What is the work done when the pressure in the tube is increased form p_1 to p_2 ?