Question

The volume of a gas is 650. mL at 1.14°C. What will the volume be a 75.0°C?

Answer 1

Answer: The final volume of the gas is 825.12 mL

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.

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:

$V_1=650mL\\T_1=1.14^oC=(1.14+273)K=274.14K\\V_2=?mL\\T_2=75^oC=(75+273)K=348K$

Putting values in above equation, we get:

$\frac{650mL}{274.14K}=\frac{V_2}{348K}\\\\V_2=\frac{650\times 348}{274.14}=825.12mL$

Hence, the final volume of the gas is 825.12 mL