A mass of an ideal gas of volume V at pressure P undergoes …

Physics Thermodynamics Ideal Equation of a Gas MCQ (Single Correct)

A mass of an ideal gas of volume V at pressure P undergoes the cycle of changes shown in the graph –

At which point is the gas coolest and hottest?

Coolest hottest

X Y

Y X

Y Z

Z Y

Text Solution

Verified by Experts

The correct answer is:

For a mole of an ideal gas, the equation of state is PV = RT

or T =

which is proportional to the product pV

At x, PV = (4 × 10 5 ) (1 × 10 –4 ) = 40 Nm

At y, pV = (1 × 10 5 ) (5 × 10 –4 ) = 50 Nm

At z, pV = (1 × 10 5 ) (1 × 10 –4 ) = 10 Nm

Thus, T is maximum at y since pV is the highest and T is minimum at z since pV is the smallest

PV = RT

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