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Question: The internal energy (U) and the density (r) of an ideal gas follow the law Ur = constant during a pa...

The internal energy (U) and the density (r) of an ideal gas follow the law Ur = constant during a particular process. The same process will be correctly shown on a P–U diagram as –

A

(a)

B

C

D

Answer

Explanation

Solution

PV=mMRTPV = \frac{m}{M}RT

Initially PV = 6MR×500\frac{6}{M}R \times 500

P2V=6xM\frac{P}{2}V = \frac{6–x}{M} R × 300(if x g gas leaks out)

Hence, 2 = 66x×53\frac{6}{6–x} \times \frac{5}{3}

x = 1 gm