Question

A gas occupies a volume of 140 mL at 35.0°C and 697 mm Hg. What is the volume of the gas at STP?

Answer 1

113.80 mL

Step-by-step explanation:

Given that:

Volume
`V_1 = 140 mL`

Temperature
`T_1 = 35.0^0C`

`= (273 + 35) = 308 \ K`

Pressure
`P_1 = 697 mmHg`

At standard temperature and pressure;

Temperature
`T_2 = 273 K`

Pressure
`P_2` = 760 mmHg

Using the formula for a combined gas law:

`(P_1V_1)/(T_1) = (P_2V_2)/(T_2)`

`V_2 = (P_1V_1T_2)/(T_1P_2)`

`V_2 = (697 \ mmHg * 140 \ mL * 273 \ K )/(308 \ K * 760 \ mmHg)`

`\mathbf{V_2 = 113.80 \ mL}`