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Ideal Gas Equation

On 4 liter sa...

Question

On 4 liter sample of a gas, the pressure is doubled and the absolute temperature is increased by 25%. The new volume of the gas in litres is v, then 10v is______.

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Solution

According to ideal gas equation,
$P V = n R T$
$P_{1} V_{1} / T_{1} = P_{2} V_{2} / T_{2}$
$P * 4 / T = 2 P V_{2} / 1.25 T$
$V_{2} = 2 * 1.25 = 2.5 l i t$
so, $10 V_{2} = 25 l i t$

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