By what percentage should the pressure of a given mass of a gas be increased so as to decrease its volume by 10% at a constant temperature ?

Options

A. 8·1%
B. 9·1%
C. 10·1%
D. 11-1%

Answer

D

Explanation

`P_(1)V_(1)=P_(2)V_(2)`
`rArrP_(2)=(P_(1)V_(1))/(V_(2))=(P_(1)V_(1))/((V_(1)-10/100V_(1)))`
`rArrP_(2)=10/9P_(1)`
% Increase in pressure `=(P_(2)-P_(1))/(P_(1))xx100`
`=(10/9P_(1)-P_(1))/(P_(1))xx100`
`=100/9=11.1%`
Thus correct choice is (d).