Answer:
The new volume of the gas is 17.97 liters.
Explanation:
Boyle's law states that the pressure of a gas in a closed container is inversely proportional to the volume of the container, when the temperature is constant, and is expressed mathematically as:
P * V = k
Charles's Law consists of the relationship between the volume and temperature of a certain amount of ideal gas, which is maintained at a constant pressure, as follows:
[tex]\frac{V}{T} =k[/tex]
Gay-Lussac's law establishes the relationship between the temperature and the pressure of a gas when the volume is constant as follows:
[tex]\frac{P}{T} =k[/tex]
Combined law equation is the combination of three gas laws called Boyle's, Charlie's and Gay-Lusac's law:
[tex]\frac{P*V}{T} =k[/tex]
Having two different states, an initial state 1 and an final state 2, it is true:
[tex]\frac{P1*V1}{T1} =\frac{P2*V2}{T2}[/tex]
In this case:
Replacing:
[tex]\frac{760 mmHg*22.4 L}{273 K} =\frac{805 mmHg*V2}{232K}[/tex]
Solving:
[tex]V2=\frac{760 mmHg*22.4 L}{273 K} *\frac{232 K}{805mmHg}[/tex]
V2=17.97 L
The new volume of the gas is 17.97 liters.
