States of Matter

Using the ideal equation of state

A chemical engineer must calculate the maximum safe operating temperature of a high$-$pressure gas reaction vessel. The vessel is a stainless$-$steel cylinder that measures $50\mathrm{.}0cm$ wide and $60\mathrm{.}0cm$ high. The maximum safe pressure inside the vessel has been measured to be $5\mathrm{.}60$MPa.

For a certain reaction the vessel may contain up to $7\mathrm{.}51kg$ of boron trifluoride gas. Calculate the maximum safe operating temperature the engineer should recommend for this reaction. Write your answer in degrees Celsius. Round your answer to $3$ significant digits.

$10$