Which of the processes on a monatomic ideal gas given below will result in the temperature of the gas increasing? W is the work done by the gas.
A)a process where Q = W
B)a process where Q = -2W
C)a process where Q = 2W
D)None of the above will increase the temperature of the gas.

Question

Which of the processes on a monatomic ideal gas given below will result in the temperature of the gas increasing? W is the work done by the gas.
A)a process where Q = W
B)a process where Q​ = -2W
C)a process where Q = 2W
D)None of the above will increase the temperature of the gas.

Quizplus · Accepted Answer

For a monatomic ideal gas, the temperature is directly proportional to the internal energy. Therefore, to increase the temperature of the gas, the internal energy must increase.
From the first law of thermodynamics, we have:
ΔU = Q - W
where ΔU is the change in internal energy, Q is the heat added to the system, and W is the work done by the gas.
If Q = 2W, then ΔU = 2W - W = W. This means that the internal energy increases, which leads to an increase in temperature. Therefore, option C is the correct answer.

Which of the Processes on a Monatomic Ideal Gas Given