500.0 L of gas are prepared at 0.921 atm pressure and 200.0°C. The gas is placed into a tank under high pressure. When the tank cools to 20.0°C, the pressure is 30.0 atm. What is the volume of the gas under these conditions?
1 Answer
Explanation:
The ideal gas law suggests the relationship
that relates
#P# , the pressure of the gas#V# , the volume the gas occupies#n# , the number of moles of gas in the closed container#T# , the temperature of the gas in#color(purple)("degrees Kelvin")# , and#R# the ideal gas constant.
Let

#n_1 = (R * T_1) / (P_1 * V_1)# 
#n_2 = (R * T_2) / (P_2 * V_2)#
The amount of gas present in the container,
Multiplying both sides of the equation by
Therefore