Question

A gas has a volume of 1.4 liters at STP. What is the new volume when the temperature is changed to 40 K and the pressure is changed to 1.2 atm?

Answer 1

Answer:

0.17094 liters

Explanation:

-For STP, Pressure=1 atm and Temperature=273K

-We apply the combined gas law which relates temperature, pressure and Volume:

$\frac{PV}{T}=k$

-We therefore equate the relationship at different temperatures as follows:

$\frac{P_1V_1}{T_1}=\frac{P_2V_2}{T_2}\\\\\frac{1\times 1.4\ }{273}=\frac{1.2\times V_2}{40}\\\\V_2=\frac{1\times 1.4\ }{273}\times \frac{40}{1.2}\\\\=0.17094\ L$

Hence, the new volume is 0.17094 liters