Respuesta :
Answer : The final volume of gas will be, 681.4 ml
Explanation :
Charles' Law : This law states that volume of gas is directly proportional to the temperature of the gas at constant pressure and number of moles.
[tex]V\propto T[/tex] (At constant pressure and number of moles)
or,
[tex]\frac{V_1}{T_1}=\frac{V_2}{T_2}[/tex]
where,
[tex]V_1[/tex] = initial volume of gas = 750 ml
[tex]V_2[/tex] = final volume of gas = ?
[tex]T_1[/tex] = initial temperature of gas = [tex]25^oC=273+25=298K[/tex]
[tex]T_2[/tex] = final temperature of gas = [tex]55^oC=273+55=328K[/tex]
Now put all the given values in the above formula, we get the final volume of gas.
[tex]\frac{750ml}{298K}=\frac{V_2}{328K}[/tex]
[tex]V_2=681.4ml[/tex]
Therefore, the final volume of gas will be, 681.4 ml
If a gas has a volume of 750 mL at 25°C, 681.4 mL is the volume of the gas be at 55°C.
What is the ideal gas equation?
Ideal gas equation will be represented as:
PV = nRT
From this equation it is clear that volume of gas is directly proportional to the temperature, and required equation for the question is:
V₁/T₁ = V₂/T₂, where
V₁ = initial volume of gas = 750 ml
T₁ = initial temperature of gas = 25°C = 298K
V₂ = final volume of gas = to find?
T₂ = final temperature of gas = 55°C = 328K
Putting all these values on the above equation and calculate for the value of V₂ as:
V₂ = (750×328) / 298 = 681.4 mL
Hence, 681.4 mL is the volume of gas.
To know more about ideal gas equation, visit the below link:
https://brainly.com/question/25290815
