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

Explanation

Yes, during adiabatic compression the temperature of a gas increases while no heat is given to it.
In an adiabatic compression `DeltaQ = 0`
According to the first law of thermodynamics,
`DeltaU=dU+dW`
`therefore` 0=dU+dW
`therefore` dU=-dW
In compression work is done on the gas, i.e., work done is negative .
`therefore` dU=-(-dW)=dW
`therefore` dU `gt` 0 positive
Hence , internal energy of the gas increases because `U prop T`.