Respuesta :
Using Charles's law; which states that the volume of an ideal gas is directly proportional to the absolute temperature at constant pressure.
That is; V α T
Hence; V1/T1 = V2/T2 = constant
V2 = V1 × (T2/T1)
= 250 × (350/300) = 291.67 mL
Therefore; the new volume will be 291.67 mL
That is; V α T
Hence; V1/T1 = V2/T2 = constant
V2 = V1 × (T2/T1)
= 250 × (350/300) = 291.67 mL
Therefore; the new volume will be 291.67 mL
Answer: The final volume of the system is 291.66 mL.
Explanation:
To calculate the final volume of the system, we use the equation given by Charles' Law.
This law states that volume of the gas is directly proportional to the temperature of the gas at constant pressure.
Mathematically,
[tex]\frac{V_1}{T_1}=\frac{V_2}{T_2}[/tex]
where,
[tex]V_1\text{ and }T_1[/tex] are the initial volume and temperature of the gas.
[tex]V_2\text{ and }T_2[/tex] are the final volume and temperature of the gas.
We are given:
[tex]V_1=250mL\\T_1=300K\\V_2=?mL\\T_2=350K[/tex]
Putting values in above equation, we get:
[tex]\frac{250}{300K}=\frac{V_2}{350K}\\\\V_2=291.66mL[/tex]
Hence, the final volume of the system is 291.66 mL.
