A sample of Cl 2 Cl2 gas has a volume of 25.0 L 25.0 L at a pressure of 1.50 atm and a temperature of 23 ∘ C. 23 ∘C. What volume, in liters, will the gas occupy at 3.50 atm and 261 ∘ C? 261 ∘C? Assume ideal behavior.

Question

Chemistry

Yasmine Ball

17 October, 20:05

A sample of Cl 2 Cl2 gas has a volume of 25.0 L 25.0 L at a pressure of 1.50 atm and a temperature of 23 ∘ C. 23 ∘C. What volume, in liters, will the gas occupy at 3.50 atm and 261 ∘ C? 261 ∘C? Assume ideal behavior.

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Answers (1)

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Bianca Garner · Answer 1

19.33L

Explanation:

To calculate the volume it will occupy, we simply use the general gas equation formula.

P1V1/T1 = P2V2/T2

Given P1 = 1.50 atm, V1 = 25.0L, T1 = 23 degrees Celsius = 23 + 273 = 296K

P2 = 3.50 atm, V2 = ?, T2 = 261 + 273 = 534K

Rearranging the equation:

P1V1T2/P2T1 = V2

Substituting the values:

(1.5 * 25 * 534) / (3.5 * 296) = V2

V2 = 19.33L