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Q. An ideal monoatomic gas is taken from $A$ to $B$ by the following three ways $p, q, r$ as shown in the given $p$ - $V$ curve.
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Then, amongst which of these ways, the internal energy would be same?

Thermodynamics

Solution:

Internal energy is a state variable which depends only on the state of the system, not on how that state was achieved. Thus, in the given case, internal energy of the ideal monoatomic gas would be same in all three ways taken by it to go from $A$ to $B$.