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Physics Thermodynamics JEE Main 2025 MCQ (Single Correct)

The equation for real gas is given by , where and R are the pressure, volume, temperature and gas constant, respectively. The dimension of is equivalent to that of:

A
Compressibility
B
Planck's constant
C
Energy density
D
Strain

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The correct answer is:
C

The equation for a real gas is given by:

Here, , and are the pressure, volume, temperature, and gas constant, respectively.

To find the dimension of , we proceed with the following steps:

Rearrange the equation for dimensions:

Since and , we have:

As derived from the equation:

Now, to find :

This dimension, , is equivalent to the dimension of energy density.

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