Question

# The sparkling water company you are working for has now identified a new type of can that withstands up to 10 atm of pressure at 25 °C with safe transport

and storage. Each can, initially unsealed, contains 355 mL of water and a 20-mL headspace filled with air. Then pressurized carbon dioxide is injected into the can, followed by rapid sealing of the can. As an engineer, you are asked to design a new line of product with maximum amount of CO2 dissolved to give the most intense feeling. So you need to determine the maximum amount of CO2 (in gram) to be injected under the constraint that the can is able to withstand at 25 °C. Assume (i) no leakage of air from the can during the process, (ii) no significant change in thevolume of the liquid and vapor phases inside the can, (iii) no air dissolved in the liquid phase,and (iv) ideal gas behavior of the vapor phase. (a)Determine the moles of water and air initially in the can. (b)Write three auxiliary equations other than unit conversion. (c)Count the degree of freedom of the system. (d)Write the material balances for all individual species. (c)Determine the moo, the gram of CO2 to be injected into the can.'co2'

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