Question

Which of the following does the internal energy of an ideal gas depend upon?
a. The internal energy depends upon its temperature.
b. The internal energy depends upon its volume.
c. The internal energy depends upon its pressure.

Answer 1

Answer:

The correct option is: a. The internal energy depends upon its temperature.

Explanation:

Ideal gas is a hypothetical gas that obeys the ideal gas law. The equation for the ideal gas law:

P·V=n·R·T

Here, V- volume of gas, P - total pressure of gas, n- total mass or number of moles of gas, T - absolute temperature of gas and R- the gas constant

Also, according to the Joule's second law, the internal energy (U) of the given amount of ideal gas depends on the absolute temperature (T) of the gas only, by the equation:

$U = c_{V}nRT$

Here, $c_{V}$ is the specific heat capacity at constant volume