Question

At conditions of 785.0 torr of pressure and 15.0 °C temperature, a gas occupies a volume of 45.5 mL. What will be the volume of the same gas at 745.0 torr and 30.0 °C?

Answer 1

50.0ml

Explanation:

`P_1 = 785.0"Torr"` => `P_2=745.0"Torr"`
Decreasing Pressure => Increasing Volume (Boyles Law) => Use ratio of pressure values that decrease `V_1`. => (785.0/745.0)

`T_1=(15 + 273)K = 288K` => `T_2=(30 + 273)K= 303K`
Increasing Temperature (Charles Law) => Increasing Volume => Use ratio of temperature values that increase `V_1`. => (303/288)

`V_1=45.0ml` => `V_2=?`

`V_2 = 45.0mlxx(785.0"Torr")/(745.0"Torr")xx(303K)/(288K)` = `49.9ml => 50.0ml`