A 20 litre container holds 0.650 mol of helium gas at 37°C at a pressure of 628.3 bar. What will be the new pressure inside the container if volume is reduced to 12 litre the temperature is increased to 177°C and 1.25 mol additional helium gas was added to it
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here given,
initial volume, V1 = 20Litres
final volume, V2 = 12 Litres
initial no of moles, n1 = 0.650 mol
final no of moles , n2 = (1.25 + 0.650) mol = 1.9 mol
initial temperature, T1 = 37°C = 310K
final temperature, Tf = 177°C = 450K
initial pressure , P1 = 628.3 bar
final pressure , P2 = ?
applying formula,
P1V1/n1T1 = P2V2/n2T2
or, (628.3 × 20)/(0.650 × 310) = (P2 × 12)/(1.25 × 450)
or, P2 = (628.3 × 20 × 1.9 × 450)/(0.65 × 310 × 12)
= 4443.3 bar
hence, final pressure of gas in container will be 4443.3 bar.
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