A cylinder with a movable piston contains a 2.0-liter sample of neon at gas at STP. What is the volume of this of this sample when its temperature is increased to 30. deg C while its pressure is decreased to 90. kilopascals?

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A cylinder with a movable piston contains a 2.0-liter sample of neon at gas at STP. What is the volume of this of this sample when its temperature is increased to 30. deg C while its pressure is decreased to 90. kilopascals?

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Answer 1 · 2018-03-29T22:12:00

Recall,

$1 mol = 22.4 L$ $1"mol" = 22.4"L"$ for most gases, and

$P V = n R T$ $PV = nRT$

We're looking to calculate the new volume of the sample (via the ideal gas law) when heat is added and pressure is subtracted from the isolated system.

Hence,

$\Rightarrow V = \frac{n R T}{P}$ $=>V=(nRT)/P$

$V = \frac{2.0 L \cdot \frac{mol}{22.4 L} \cdot \frac{0.08206 L \cdot atm}{mol \cdot K} \cdot 303 K}{90 kPa \cdot \frac{atm}{101.3 kPa}} \approx 2.5 L$ $V = (2.0"L" * "mol"/(22.4"L") * (0.08206"L" * "atm")/("mol" * "K") * 303"K")/(90"kPa" * ("atm")/(101.3"kPa")) approx 2.5"L"$

is the new volume of the gas within this isolated system.

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A cylinder with a movable piston contains a 2.0-liter sample of neon at gas at STP. What is the volume of this of this sample when its temperature is increased to 30. deg C while its pressure is decreased to 90. kilopascals?

1 Answer

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