A 8.5 L sample is collected at 45°C. What will the volume be if the temperature is raised to 70°C? End of exam A. 9.2 L B. 13.2 L C. 7.9 L D. 5.5 L

Respuesta :

Answer: The correct option is A.

Explanation: To calculate the volume at the end , we use Charles's Law, which states that the volume of the gas is directly proportional to the temperature of the gas at constant pressure.

Mathematically,

[tex]V\propto T[/tex]

or

[tex]\frac{V_1}{T_1}=\frac{V_2}{T_2}[/tex]

  • Initial conditions:

[tex]V_1=8.5L[/tex]

[tex]T_1=45^oC=(45+273)K=318K[/tex]

  • Final conditions:

[tex]V_2=?L[/tex]

[tex]T_2=70^oC=(70+273)K=343K[/tex]

Putting all the values in above equation, we get

[tex]\frac{8.5}{318}=\frac{V_2}{343}[/tex]

[tex]V_2=9.2L[/tex]

Hence, the correct option is A.