What is the temperature in celcius given the information above? A chemical engin

Question

What is the temperature in celcius given the information above?

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 12.0 cm wide and 14.4 cm high. The maximum safe pressure inside the vessel has been measured to be 5.30 MPa. For a certain reaction the vessel may contain up to 0.0847 kg of dinitrogen difluoride 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.

Explanation / Answer

Volume of cyllinder = pi.r^2.h

                               = 3.14 x (6)^2 x 14.4

                               = 1627.776 cm^3

                               = 1.63 L

P = 5.30 MPa = 52.307 atm

R = gas constant

n = 0.0847 x 1000 g/66.07 g/mol = 1.282 mols

So, the maximum operating temperature (T) = 52.307 x 1.63/0.08205 x 1.282

                                                                       = 810.552 K

                                                                       = 537.552 oC

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