Question

15L tank of gas is contained at a high pressure of 8.20 •10 ^4 torr. The tank is opened and the gas expands into an empty chamber with a volume of 6• 10^4 L

Answer 1

The question is incomplete. The complete question is:

15L tank of gas is contained at a high pressure of $8.20\times 10^4 torr$. The tank is opened and the gas expands into an empty chamber with a volume of $6\times 10^4 L. What is the final pressure if the temperature remains constant.

Answer: 20.5 torr

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:

[tex]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:

$P_1=8.20\times 10^4torr\\V_1=15L\\P_2=?\\V_2=6\times 10^4L$

Putting values in above equation, we get:

$8.20\times 10^4\times 15L=P_2\times 6\times 10^4L\\\\P_2=20.5torr$

Thus new pressure will be $20.5torr$