Answer:
499.5 L
Explanation:
Step 1:
Data obtained from the question. This includes the following:
Initial pressure (P1) = 33.3 atm
Initial volume (V1) = 30L
Initial temperature (T1) = 273°C = 273°C + 273 = 546K
Final pressure (P2) = stp = 1 atm
Final temperature (T2) = stp = 273K
Final volume (V2) =..?
Step 2:
Determination of the final volume.
This can be done by using the general gas equation formula as shown below:
P1V1/T1 = P2V2/T2
33.3 x 30/546 = 1 x V2 /273
Cross multiply to express in linear form
546 x V2 = 33.3 x 30 x 273
Divide both side by 546
V2 = (33.3 x 30 x 273) /546
V2 = 499.5 L
Therefore the volume of the gas will be 499.5 L