• # question_answer 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 now will be- A) less than VB) more than VC) equal to VD) less than V for diatomic and more than V for monoatomic

When the pressure is first increased by $10%$ it becomes (110/100) P. when it is decreased by $10%$ from there, the pressure becomes $\frac{110\times 90}{100\times 100}\,\,\,\,P\,\,=\,\,\frac{99}{100}\,P$ Thus the pressure decreases by $1%$ volume is increased by nearly $1%$