Question

What is the new pressure of 150 ml of a gas that is compressed to 50 ml when the original pressure was 3.0 atm and the temperature is held constant?

Answer 1

Answer: 9.0 atm

Explanation:

To calculate the new 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:

$P_1=3.0atm\\V_1=150mL\\P_2=?mmHg\\V_2=50mL$

Putting values in above equation, we get:

$3.0\times 150mL=P_2\times 50mL\\\\P_2=9.0atm$

Thus new pressure of 150 ml of a gas that is compressed to 50 ml is 9.0 atm