Question

A balloon has a volume of 3.50 liters at 20.0°C. What will be the volume of the balloon at 100.0°C? Assume the pressure doesn't change and the amount of gas in the balloon doesn't change O a. 0.224 Ob.2.75L O c. 17.5L O d. 65.45 Oe. None of the above

Answer 1

Answer: The volume of balloon at 100°C is 4.46 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.

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:

$V_1=3.50L\\T_1=20^oC=(20+273)K=293K\\V_2=?L\\T_2=100^oC=(100+273)K=373K$

Putting values in above equation, we get:

$\frac{3.5L}{293K}=\frac{V_2}{373K}\\\\V_2=4.46L$

Hence, the volume of balloon at 100°C is 4.46 L