Question

A sample of gas has a volume of 12 liters at 0°C and 380 torr. What will be its volume when the pressure is changed to 760 torr at a constant temperature?

Answer 1

The new volume would be 6 liters.

Explanation:

`PV = nRT`

`P` is pressure in atm (760 torr = 1 atm); `V` is volume in liters; `n` is the number of moles; `R` is the constant 0.0821; `T` is temperature in Kelvin.

`n`, `R`, and `T` are constant; therefore, `P_1V_1 = P_2V_2`

Convert the torr into atm

`P_1` = `(380"torr")/(760 "torr" times atm^(-1))` = `0.5` atm
`P_2` = `(760"torr")/(760 "torr" times atm^(-1))` = `1` atm

Set the volume

`V_1` = 12 L
`V_2` = `x` L

`P_1V_1 = P_2V_2`
`0.5"atm" times 12 "L"` = `1"atm" times x "L"`
`x`L = 6L

The new volume would be 6 liters.