$5)$ Your facility has a $100$ ft$3$ storage tank for xenon. When returning to work on Monday, the weekend crew informed you that a leak developed in the tank and the pressure has dropped from $3,517$ psia at $78$F to $2,713$ psia at $87$F$.$ Their investigation showed that the leak occurred when a pressure relief valve failed, allowing the gas to vent. The valve has a maximum opening of $$ diameter $($though the weekend crew estimates that only one eighth of the area was open at failure$)$ and vents to the atmosphere. One crew member believes that the valve failed at around $10$:$30$ pm on Saturday. It was found and closed on $4$:$32$ am Sunday. Estimate the amount of xenon that was lost and comment on the accuracy of your result.