Answer:
The volume of the gas will be 814 mL.
Explanation:
An ideal gas is a theoretical gas that is considered to be composed of point particles that move randomly and do not interact with each other. Gases in general are ideal when they are at high temperatures and low pressures.
The gas laws are a set of chemical and physical laws that allow determining the behavior of gases in a closed system. The parameters evaluated in these laws are pressure, volume, temperature and moles.
Charles's Law consists of the relationship that exists between the volume and the temperature of a certain quantity of ideal gas, which is kept at a constant pressure, by means of a constant of proportionality that is applied directly. For a given sum of gas at a constant pressure, as the temperature increases, the volume of the gas increases and as the temperature decreases, the volume of the gas decreases because the temperature is directly related to the energy of the movement of the gas molecules. .
In summary, Charles's law is a law that says that when the amount of gas and pressure are kept constant, the quotient that exists between the volume and the temperature will always have the same value:
[tex]\frac{V}{T} =k[/tex]
It is desired to study two different states, an initial state and an final state. You have a gas that is at a volume V1 and at a temperature T1 at the beginning of the experiment. When the temperature varies to a new T2 value, then the volume will change to V2, and the following will be true:
[tex]\frac{V1}{T1} =\frac{V2}{T2}[/tex]
In this case:
Replacing:
[tex]\frac{752 mL}{298 K} =\frac{V2}{323 K}[/tex]
Solving:
[tex]V2= 323 K*\frac{752 mL}{298 K}[/tex]
V2= 815 mL
The volume of the gas will be 814 mL.
