Question

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

40.0cm wide and 48.0cm high. The maximum safe pressure inside the vessel has been measured to be 2.90MPa

For a certain reaction the vessel may contain up to 1.38kg of carbon dioxide gas. Calculate the maximum safe operating temperature the engineer should recommend for this reaction. Write your answer in degrees Celsius. Be sure your answer has the correct number of significant digits.

Answer 1

volume of vessel = auch = 20cm. haugen V= 3.14 (20) 2 x 48 cm3 V = 60,288 cm3 {iltr=1000ms | = 60.29 L 1 moximum Pressure = 2.90x10' Pa, I atm = 1.013 x105 Pa. 2.90x106 28.6 ahm. 1.013 xios Now usin PV = nRT 28.6 X 60.29 = nx0.0821 XT na moles of CO2 = 1.38 410 = 31-36 uu 28.6 X 60.29 = 31.36x0.0821XT T = 669.7k T = 396.7°C T= 397°C (in 3 significant ) digils