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

Question

By what percentage should the pressure of a given mass of gas be increased to decrease its volume by 10 % at a constant temperature? (A) 8.1 % (B) 9.1 % (C) 10.1 % (D) 11.1 %

Tardigrade Admin · Accepted Answer

According to Boyle's Law: P1V1=P2V2 PV=Pâ²× (90 V/100),(Pâ²/P)=(10/9) (Pâ² - P/P)× 100=((10/9) - 1)× 100=(100/9)=11.1 %

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

$8.1 %$

$9.1 %$

$10.1 %$

$11.1%$

According to Boyle's Law :
$P_{1} V_{1} = P_{2} V_{2}$
$P V = P^{'} \times \frac{90 V}{100}, \frac{P ^{'}}{P} = \frac{10}{9}$
$\frac{P ^{'} - P}{P} \times 100 = (\frac{10}{9} - 1) \times 100 = \frac{100}{9} = 11.1%$

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

8.1%

9.1%

10.1%

11.1%