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

0.17094 liters

Step-by-step explanation:

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

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

`(PV)/(T)=k`

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

`(P_1V_1)/(T_1)=(P_2V_2)/(T_2)\\\\(1* 1.4\ )/(273)=(1.2* V_2)/(40)\\\\V_2=(1* 1.4\ )/(273)* (40)/(1.2)\\\\=0.17094\ L`

Hence, the new volume is 0.17094 liters