Question

To decrease the volume of a gas by 5% at constant temperature, the pressure should be

• A. decreased by 5.26%
• B. increased by 5.26%
• C. decreased by 11%
• D. ncreased by 11 %

Answer 1

Answer: (B)

increased by 5.26%

Answer 2

By Boyie's law
$\, \, \, \, \, \, \, \, \, \, \, \, \, \, \, \,$ pV = RT
$\, \, \, \, \, \, \, \, \, \, \, \, \, \, \, \, pV = p_2 \bigg( V - \frac{5}{100}V \bigg)$
$\, \, \, \, \, \, \, \, \, \, \, \, \, \, \, \, pV = p_2 \bigg(\frac{95}{100}V \bigg)$
$\, \, \, \, \, \, \, \, \, \, \, \, \, \, \, \, p_2 = \frac{20}{19}(p)$
Increase in pressure
$\, \, \, \, \, \, \, \, \, \, \, \, \, \, \, \, = \bigg(\frac{20}{19}-1 \bigg) \times 100 = \frac{1}{19} \times 100$ = 5.26%