The temperature of an ideal gas increases in an

Temperature increases in the adiabatic compression.

This is due to the the work energy is converted to internal energy which in turn increases temperature

During adiabatic compression, the temperature of a gas increases because the work done on the gas is converted into its internal energy. In an adiabatic process, there is no heat exchange with the surroundings, meaning all the energy involved in compression directly affects the gas's internal energy.

When a gas is compressed, its molecules are forced into a smaller volume, causing them to collide more frequently and with greater intensity. This increase in molecular activity raises the internal energy of the gas. Since temperature is a measure of the average kinetic energy of the molecules, this increase in internal energy results in a higher temperature.

In simple terms, the energy used to compress the gas doesn't leave the system but is stored as internal energy, which manifests as a temperature rise. This principle is fundamental in thermodynamics and has practical applications, such as in diesel engines and compressors.