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At a temperature of 320K, the gas in a cylinder has a volume of 40.0 liters. If the volume of the gas is decreased to 20.0 liters, what must the temperature be for the gas pressure to remain constant?

A160 K
B273 K
C560 K
D140 K

Verified Answer :

scme1702

Assuming the gas behaves ideally,
PV/T = constant. P will also be constant in this giving us:
V₁/T₁ = V₂/T₂
40/320 = 20/T₂
T₂ = 160 K
The answer is A.

Answer:

The correct answer is option A.

Explanation:

Initial volume of the gas \(V_1= 40.0L\)

Initial temperature of gas \(T_1= 320 K\)

Final volume of the gas \(V_2= 20.0L\)

Final temperature of the gas = \(T_2\)

Applying Charles' Law:

\(\frac{V_1}{T_1}=\frac{V_2}{T_2}\)

\(T_2=\frac{V_2\times T_1}{V_1}=\frac{20.0L\times 320 K}{40.0L}=160K\)

The temperature of the gas when volume of the gas is 20.0 L is 160 K.Hence, the correct answer is option A.

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