A given mass of an ideal gas occupies a volume V at a temperature T and under a pressure p. If the pressure is increased to 2p and the temperature reduced t...

Assessment: JAMB UTME - Physics - 1984 Subject: Physics

Question 1 Report

A given mass of an ideal gas occupies a volume V at a temperature T and under a pressure p. If the pressure is increased to 2p and the temperature reduced to $ \frac{1}{2T} $, then the percentage change in the volume of the gas is

0%

25%

75%

300%

400%

Answer Details

\frac{P_{2} V_{2}}{T_{2}}

=

\frac{P_{1} V_{1}}{T_{1}}

P2 = 2P1

T1 = 2T2

$\frac{2 P_{1} V_{2}}{T_{2}}$ = $\frac{P_{1} V_{1}}{2 T_{1}}$

V2 --V1

% change = $\frac{V_{1} - \frac{1}{4} V_{1}}{V_{1}}$ X 100%

= 75%

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