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Question: The pressure and volume of a given mass of gas at a given temperature are P and V respectively. Keep...

The pressure and volume of a given mass of gas at a given temperature are P and V respectively. Keeping temperature constant, the pressure is increased by 10% and then decreased by 10%. The volume how will be –

A

Less than V

B

More than V

C

Equal to V

D

Less than V for diatomic and more than V for monoatomic

Answer

More than V

Explanation

Solution

When the pressure is first increased by 10% it becomes (110/100) P. when it is decreased by 10% from there, the pressure becomes

110×90100×100\frac{110 \times 90}{100 \times 100} P = 99100\frac{99}{100} P

Thus the pressure decreases by 1% volume is increased by nearly 1%