If a process removes heat from a system, must the system\'s temperature decrease

Question

If a process removes heat from a system, must the system's temperature decrease in this process?

A. No the system's temperature could stay the same if there is work done on the system to exactly compensate for heat loss.

B. Yes. Heat removed from the system cannot be fully compensated by any non-thermal process, only partial compensation is possible

C. No If neither work is done on the system, nor system does work the temperature will stay the same no matter how much heat is removed from the system

D. Yes. Thermal energy is a conserved quantity If the process removes heat from the system temperature can only decrease

Explanation / Answer

Temperature of the system depend on the Internal Energy of the system.

A) No the system's temperature could stay the same if there is work done on the system to exactly compensate for heat loss.

Since heat removes = work done on the system then change in internal energy will be zero. hence there will be no change in temperature of the system.

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