Question

A sample of oxygen gas has a volume of 3.24 L at 29°C. What volume will it occupy at 104°C if the pressure and number of mol are constant? Enter your answer in the provided box.

Answer 1

Answer: The final volume of the oxygen gas is 4.04 L

Explanation:

To calculate the final temperature 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 and number of moles.

Mathematically,

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

where,

$V_1\text{ and }T_1$ are the initial volume and temperature of the gas.

$V_2\text{ and }T_2$ are the final volume and temperature of the gas.

We are given:

$V_1=3.24L\\T_1=29^oC=(29+273)K=302K\\V_2=?\\T_2=104^oC=(104+273)K=377K$

Putting values in above equation, we get:

$\frac{3.24L}{302K}=\frac{V_2}{377K}\\\\V_2=4.04L$

Hence, the final volume of the oxygen gas is 4.04 L