A chemistry graduate student is designing a pressure vessel for an experiment. The vessel will contain gases at pressures up to 350.0MPa. The student's design calls for an observation port on the side of the vessel (see diagram below). The bolts that hold the cover of this port onto the vessel can safely withstand a force of 5.00MN.

Calculate the maximum safe diameter w of the port. Round your answer to the nearest 0.1cm.

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 wide and high. The maximum safe pressure inside the vessel has been measured to be . For a certain reaction the vessel may contain up to of sulfur hexafluoride gas. Calculate the maximum safe operating temperature the engineer should recommend for this reaction.

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 32.0cm wide and 38.4cm high. The maximum safe pressure inside the vessel has been measured to be 8.30MPa . For a certain reaction the vessel may contain up to 2.92kg of boron trifluoride 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

You have been asked by the local coal power plant to conduct some carbon sequestration experiments aimed at determiing the efficacy of the local crystalline basement rocks to sequester CO2. They have asked you to determine how much carbonate forms when you react 10 grams of gabbro with CO2 at 150 degres C and 1kbar. You go to your lab and find a 750 ml pressure vessel that is rated to 10kbar pressure.

a.) how many grams of dry ice should you add to the vessel along with the 10 grams of gabbro to reach 1kbar of pressure at 150 degrees C?

b.) with this mass of CO2 in the vessel, what is the maximum temperature the filled pressure vessel can reach before exceeding its pressure rating?