Question

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. 8.1%
• B. 9.1%
• C. 10.1%
• D. 11.1%

Answer 1

The correct option is D 11.1%

$\frac{PV}{T}=\frac{P^{{}^{\prime }}\left(90/100\right)V}{T}$
or $\frac{P^{{}^{\prime }}}{P}=\frac{100}{90}=1+\frac{10}{90}$
or $\frac{P^{{}^{\prime }}-P}{P}=\frac{10}{90}$ = $11.1\%$