A steel of internal volume 20 litres is filled with hydrogen at 29 atmospheric pressure. If hydrogen is used to fill a balloon at 1.25 atmospheric pressure at the same temperatue, what volume will the gas occupy?
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According to Boyle's law, at constant temperature, pressure exerted by a gas is inversely proportional to its volume. Hence, mathematically we can write as: PV = k Where k is constant. So,we can write as, P1V1 = P2V2 .................(i) Here 1 is used for representing initial condition and 2 is used for final conditions. P1 = 29 atm P2= 1.25 atm V1 = 20 L Substitute above values in equation (i) V2 = 20 x 29 / 1.25 = 464 L