Which of the two will increase the presure more , an adiabatic or an isothermal process , in reducing the volume to 50 % ?

Explanation

In an adiabatic process , no exchange of heat is allowed between the system and surroundings . Hence , the work done during reducing the volume to 50 % results in the increase in the temperature of the system therby further increases in the pressure `(because` PV=RT). In case of isothermal compression , the excess heat is exchanged with the surroundings , maintaining constant temperature . Hence the increase in pressure is only due to decrease in volume obeying Boyle's law .
Hence adiabatic compression increases the pressure more than isothermal compression .