Question

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.

Answer 1

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