Answer:
The volume will be 12.05 L
Explanation:
Boyle's law says that "The volume occupied by a certain gaseous mass at constant temperature is inversely proportional to pressure" and is expressed mathematically as:
P * V = k
Charles's law states that the volume of a gas is directly proportional to the temperature of the gas. That is, Charles's law is a law that says that when the amount of gas and pressure are kept constant, the ratio between the volume and the temperature will always have the same value:
[tex]\frac{V}{T} =k[/tex]
Finally, Gay-Lussac's law states that at constant volume, the pressure of the gas is directly proportional to its temperature. This is expressed mathematically as:
[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]
Analyzing an initial state 1 and a final state 2, this law can be expressed as:
[tex]\frac{P1*V1}{T1}=\frac{P2*V2}{T2}[/tex]
In this case:
Replacing:
[tex]\frac{0.956 atm*14.3L}{296 K}=\frac{1.20 atm*V2}{313 K}[/tex]
Solving for V2:
[tex]V2= \frac{313 K}{1.20 atm} *\frac{0.956 atm*14.3L}{296 K}[/tex]
V2= 12.05 L
The volume will be 12.05 L
