Using the ideal equation of state

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 12.0cm wide and 14.4cm high. The maximum safe pressure inside the vessel has been measured to be 6.20MPa.

For a certain reaction the vessel may contain up to 0.0706kg of dinitrogen monoxide 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

You know the volume of the cylinder: πd²h/4 use meters for lengths --> m³

P = 6.20x10⁶ Pa

n = m/M = 70.6 g/44.02 g/mole

T = PV/nR with R = 8.3145 Pam³/mole K

Normal Sig Fig rules: 3 sig figs in answer