JEE Main · 2023 · 10 Apr 2023 · Shift 1 · States of Matter

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At constant temperature a gas is at a pressure of 940.3 mm Hg. The pressure at which its volume decreases by 40% is ____ mm Hg.
(Nearest Integer)

Answer: 1567

Solution

At constant temperature a fixed mass of gas follows Boyle's law,

P_{1} V_{1} = P_{2} V_{2}

. A fall in volume of 40 per cent leaves 60 per cent of the original volume, so

V_{2} = 0.6 V_{1}

. Substituting,

P_{2} = \frac{P _{1} V _{1}}{V _{2}} = \frac{940.3}{0.6} = 1567.2

mm Hg. To the nearest integer the new pressure is 1567 mm Hg.

JEE Main · 2023 · 10 Apr 2023 · Shift 1 · Integer answer

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