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A sample of carbon dioxide gas at a pressure of 891 mm Hg and a temperature of 84 C occupies a volume of 5.61 L. If the gas is cooled at constant pressure to a temperature of 40 C, the volume of the gas will be __ L.

1 Answer

10 votes

Answer:

4.92L

Step-by-step explanation:

Given parameters:

Initial pressure = 891mmHg

Initial temperature = 84°C = 84 + 273 = 357k

Initial volume = 5.61L

New temperature = 40°C = 273 + 40 = 313k

Unknown:

New volume = ?

Solution:

Since we are dealing with constant pressure condition, we apply charles's law.

It states that the volume of a fixed mass of gas varies directly as its absolute temperature if the pressure is constant.

Mathematically ;


(V1)/(T1) =
(V2)/(T2)

V1 is the initial volume V2 is the new volume

T1 is the initial temperature T2 is the new temperature


(5.61)/(357) =
(V2)/(313)

V2 = 4.92L

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