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Ideal Gas Equation

Helium gas at...

Question

Helium gas at $27^{o} C$ is subjected to a pressure change from 5 atm to 2 atm at constant temperature. The initial volume of the gas was $10 d m^{3}$ . Calculate the change in volume of gas in $d m^{3}$ .

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Solution

$P V = n R T \Rightarrow P V = c o n s t a n t =$

$∴ P_{1} V_{1} = P_{2} V_{2}$

$\Rightarrow 5 \times 10 = 2 \times V_{2} \Rightarrow V_{2} = 25$

$∴$ change in volume = $15 d m^{3}$

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