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An ideal gas undergoes a cyclic process as shown in the diagram. The work done by the gas in the complete cycle is:
A gas undergoes a cyclic process represented by a circle in a P-V diagram. Which of the following statements must be true?
The net work done by the gas is zero.
The net heat absorbed by the gas is zero.
The change in internal energy for the complete cycle is zero.
The final temperature of the gas is equal to its initial temperature only if the process is reversible.
A heat engine operates between two reservoirs at temperatures and (). It absorbs heat from the hot reservoir and rejects heat to the cold reservoir. If the engine's efficiency is half the Carnot efficiency, which of the following relations is correct?
Q_2T_1 = Q_1T_2
2Q_2T_1 = Q_1(T_1 + T_2)
Q_1T_2 = Q_2T_1
Q_1(T_1 + T_2) = Q_2T_2
A refrigerator operates between two reservoirs at temperatures and (). It extracts heat from the cold reservoir and rejects heat to the hot reservoir. If the coefficient of performance (COP) is half the ideal COP, what is the relationship between and ?
Q_H = Q_C (2T_H - T_C)/T_C
Q_H = Q_C T_H/T_C
Q_H = 2Q_C (T_H - T_C)/T_C
Q_H = Q_C (T_H + T_C)/T_C
In a cyclic process depicted on a P-V diagram, the work done by the system is equal to:
Zero
The change in internal energy
The heat absorbed by the system
The area enclosed by the cycle
A reversible heat engine operates between three thermal reservoirs at temperatures , , and (). It absorbs heat from the reservoir, rejects heat to the reservoir, and exchanges heat with the reservoir (either absorbing or rejecting). What is the efficiency of this engine?
1 - (T3/T1)
1 + (Q2/Q1) - (Q3/Q1)
(T1 - T3)/T1
1 - (T2/T1)
A Carnot engine absorbs heat from a reservoir at temperature and rejects heat at . If is increased while keeping constant, what happens to and the net work done () by the engine?
increases and decreases
decreases and increases
increases and increases
decreases and decreases
A gas undergoes a cyclic process. Which of the following quantities MUST be zero for the entire cycle?
Work done
Heat absorbed
Change in internal energy
Change in temperature
In a cyclic process, the change in internal energy is:
Positive
Negative
Zero
Dependent on the path
In a cyclic process, the change in internal energy of the system is:
Positive
Negative
Zero
Depends on the path