Is it possible to increase the temperature of a gas without adding heat to it? Explain.

In a closed system, in absence of external force field present, if internal energy of system is ‘U’ and amount of heat absorbed in the system is ‘q’ then internal energy will become U₁+q. After this if ‘W’ is the amount of work is done on the system then final energy is given by U₂,

According to 1^st law of thermodynamics which states that the change in internal energy of a system is equal to the heat added to the system minus work done by the system.

But here work is done on the system. So,

According to question, no heat is given or taken out of the system, so this is an adiabatic process.

if q=0

Then,

In adiabatic compression, work done on the system is positive.

As is given by

n = No. Of moles

C_v= Specific heat capacity at constant volume.

= Change in temperature

Temperature increases when internal energy increases.