Question

Question #e8fd6

Answer 1

Using Boyle's Law (from the combined Ideal Gas Law), we find that the new volume is 1.409 liters. (See explanation)

Explanation:

We can solve this by using a variation of the Ideal Gas Law (PV = nRT). This variation is the combined Ideal Gas Law:

`(P_1V_1)/T_1=(P_2V_2)/T_2`, which allows us to compare the changes made to pressure, volume, and temperature.

Since temperature is constant, `T_1=T_2`, so our new comparison would be: (Boyle's Law)

`P_1V_1=P_2V_2`

We need to find the new volume, `V_2`, so we rearrange the equation:
`V_2=(P_1V_1)/P_2`

These are the values we have:
`V_1=3` L
`P_1=101` kPa
`P_2=215` kPa

Plug in and solve:
`V_2=` `((101 kPa)(3 L))/(215 kPa)=1.409 L`