Question

At 0.70 atmosphere pressure, a certain mass of a gas has a volume of 3.8 L. What will be the volume if the pressure is decreased to 0.409 atmosphere pressure?

Answer 1

Answer: The new volume of the gas will be 6.50 L

Step-by-step explanation:

To calculate the new pressure, we use the equation given by Boyle's law. This law states that pressure is inversely 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=0.70atm\\V_1=3.8L\\P_2=0.409atm\\V_2=?L`

Putting values in above equation, we get:

`0.70atm* 3.8L=0.409atm* V_2\\\\V_2=6.50L`

Hence, the new volume of the gas will be 6.50 L