Concept:According to the First Law of Thermodynamics for an isothermal process involving an ideal gas, the heat supplied to the system is equal to the work done by the system.
Explanation:1. An isothermal process occurs at a constant temperature (
ΔT=0).
2. For an ideal gas, the internal energy (
U) is a function of temperature only. Therefore, the change in internal energy is zero (
ΔU=0).
3. The First Law of Thermodynamics states:
ΔQ=ΔU+ΔW.
4. Substituting
ΔU=0, we get
ΔQ=ΔW.
5. The problem states the gas undergoes an *expansion*. During expansion, the gas does positive work on its surroundings. The phrase "does -150 J of work" implies the work done *on* the gas is -150 J, which means the work done *by* the gas is
ΔW=+150 J.
6. Therefore, the heat supplied to the gas is
ΔQ=ΔW=+150 J. The positive sign indicates that heat is added to the gas.
Answer:D. 150 J of heat has been added to the gas