Question

A sample of chlorine gas initially having a volume of 35.6 L was found to have a volume of 27.2 L at 15.6 atm. What was the initial gas pressure (in atm)? Assume constant temperature.

Answer 1

Answer: The inital pressure of the gas is 11.9 atm

Explanation:

To calculate the initial pressure, we use the equation given by Boyle's law. This law states that pressure is directly proportional to the volume of the gas at constant temperature.

The equation given by this law is:

$P_1V_1=P_2V_2$

where,

$P_1\text{ and }V_1$ are initial pressure and volume.

$P_2\text{ and }V_2$ are final pressure and volume.

We are given:

$P_1=?\\V_1=35.6L\\P_2=15.6atm\\V_2=27.2$

Putting values in above equation, we get:

$P_1\times 35.6L=15.6\times 27.2\\\\P_1=11.9atm$

Thus inital pressure of the gas is 11.9 atm