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By what percentage should the pressure o...

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?

A

0.05

B

`7.2%`

C

` 14.8% `

D

` 11.1% `

Text Solution

Verified by Experts

The correct Answer is:
D
At constant temp.
P V= constant ` {V_2 = V_1 - (10 V_1)/(100) rArr 0.90 V_1} `
` P_1V_1 = P_2V_2`
` P_2 = (P_1V_1)/(V_2) `
` (P_2)/(P_1) = (V_1)/(V_2) = (100)/(90 )`
` % ((P_2- P_1)/(P_1)) = (1)/(9) xx 100 = 11.1 %`
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