Answer:
165.92L
Step-by-step explanation:
First, let us calculate the number of mole SO2 in the container. This is illustrated below:
Molar Mass of SO2 = 32 + (16x2) = 32 + 32 = 64g/mol
Mass of SO2 = 701.28g
Number of mole = Mass /Molar Mass
Number of mole of SO2 = 701.28/64 = 10.96moles
Now we can easily calculate the volume of the container by calculating the volume of SO2 as illustrated below:
Data obtained from the question include:
P = 3606.96 torr
Recall: 760torr = 1atm
Therefore, 3606.96 torr = 3606.96/760 = 4.746atm
T = 603.2°C = 603.2 + 273 = 876.2K
R = 0.082atm.L/Kmol
n = 10.96moles
V =?
Using the ideal gas equation: PV = nRT, the volume can be obtain as follow:
PV = nRT
V = nRT/P
V = (10.96 x 0.082 x 876.2)/4.746
V = 165.92L
Therefore, the volume of the container is 165.92L