The heat capacity at constant volume (Cv) for an ideal gas is related to which o

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Question: The heat capacity at constant volume (Cv) for an ideal gas is related to which of the following? (2023)

Options:

Correct Answer: Change in internal energy

Exam Year: 2023

Solution:

The heat capacity at constant volume (Cv) is directly related to the change in internal energy of the system.

The heat capacity at constant volume (Cv) for an ideal gas is related to which of the following? (2023)

The heat capacity at constant volume (Cv) for an ideal gas is related to which of the following? (2023)

Step 1: Understand what heat capacity at constant volume (Cv) means. It is the amount of heat needed to raise the temperature of a gas when the volume is kept constant.
Step 2: Recognize that when a gas is heated at constant volume, the energy added goes into increasing the internal energy of the gas.
Step 3: Realize that internal energy is the total energy contained within the gas, which includes kinetic and potential energy of the gas molecules.
Step 4: Conclude that since Cv measures how much heat is needed to change the temperature of the gas at constant volume, it is directly related to the change in internal energy of the system.

Heat Capacity at Constant Volume (Cv) – Cv is a measure of the amount of heat required to change the temperature of a system at constant volume, and it is directly related to the change in internal energy of an ideal gas.
Internal Energy – Internal energy is the total energy contained within a system, and for an ideal gas, it depends only on temperature.
Ideal Gas Law – The behavior of ideal gases is described by the ideal gas law, which relates pressure, volume, and temperature.