The maximum safe operating temperature that the engineer should recommend for this reaction is 590°C.
Chemical reaction vessel that can conduct a reaction under elevated pressure (that is greater than atmospheric pressure) is called high pressure reaction vessel.
As the reaction is to performed in the cylindrical vessel, so volume of the cylindrical vessel will be:
Volume of cylinder =π r² h
Given r is 17 cm and h is 20.4 cm
= 22.17 * 17² * 20.4
= 4.630 cm²
As we know that: PV = nRT
moles = weight/molecular weight
moles of boron trifluoride = 98.5/67.82
moles of boron trifluoride = 1.452 mol
PV = nRT
T = PV/nR
T = (22.21 * 4.630)/( 0.0826 * 1.452)
= 863 K
= 863 - 273°C
= 590°C
Temperature of the system is: 590°C
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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 17.0cm wide and 20.4cm high. The maximum safe pressure inside the vessel has been measured to be 2.20MPa. For a certain reaction the vessel may contain up to 0.0985kg 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 significant digits.
