Question

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

Answer 1

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,

$V\propto T$

or

$\frac{V_1}{T_1}=\frac{V_2}{T_2}$

• Initial conditions:

$V_1=8.5L$

$T_1=45^oC=(45+273)K=318K$

• Final conditions:

$V_2=?L$

$T_2=70^oC=(70+273)K=343K$

Putting all the values in above equation, we get

$\frac{8.5}{318}=\frac{V_2}{343}$

$V_2=9.2L$

Hence, the correct option is A.