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

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