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

Answer:

113.80 mL

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:

$\dfrac{P_1V_1}{T_1} = \dfrac{P_2V_2}{T_2}$

$V_2 = \dfrac{P_1V_1T_2}{T_1P_2}$

$V_2 = \dfrac{697 \ mmHg \times 140 \ mL \times 273 \ K }{308 \ K \times 760 \ mmHg}$

$\mathbf{V_2 = 113.80 \ mL}$