Constant amount of ideal gas is kept inside a cylinder by a piston. The piston i

Question

Constant amount of ideal gas is kept inside a cylinder by a piston. The piston is locked in to position, it is not allowed to move. The gas is then heated up. Compare the initial (i) and the final (f) physical quantities of the gas to each other.
equal to less than greater than  The internal energy Uf is ... Ui.
equal to less than greater than  The entropy Sf is ... Si.
equal to less than greater than  The volume Vf is ... Vi.
equal to less than greater than  The temperature Tf is ... Ti.
equal to less than greater than  The pressure pf is ... pi.

Explanation / Answer

The given scenario is that of an isochoric process(i.e fixed volume). As such work done by the system is zero. So, any heat given to the system is stored as internal energy.

The internal energy Uf is greater than Ui.

The entropy Sf is greater than Si.

The volume Vf is equal to Vi.

The temperature Tf is greater than Ti.

The pressure pf is greater than pi.

A gas heated under such condition in a rigid container as given, the temperature and pressure will increase but the volume remains constant.

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