Question

The volume of a gas is 605 liters at 27.0°C. The new temperature is -3.0°C. What is the new volume? (Remember to convert temperatures to the Kelvin scale.)

Answer 1

Answer: The new volume is 544 L

Explanation:

To calculate the final volume 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:

$V_1=605L\\T_1=27.0^oC=(27.0+273)K=300K\\V_2=?\\T_2=-3.0^0C=(273+(-3.0))K=270K$

Putting values in above equation, we get:

$\frac{605}{300}=\frac{V_2}{270}\\\\V_2=544L$

Thus the new volume is 544 L