Question #37079

35 L of oxygen at 85 C and 92,000 N m-2 is added to a 40 L stainless steel cylinder
containing carbon dioxide at 40 C and 70,000 N m-2. Calculate the final pressure in
the cylinder if after the addition the final temperature is 55 C.

Expert's answer

There is no chemical reactions in system, so we can calculate its pressure from physical laws.

Calculate the pressures of gases at the final conditions:

Oxygen:

P1V1/T1 = P2V2/T2

P2(O2) = P1V1T2/V2T1 = 92,000*35*328/(40*358) = 73,750 N/m^2

Carbon dioxide:

P1/T1 = P2/T2

P2(CO2) = P1T2/T1 = 73,350 N/m^2

The total pressure in systems is the sum of partial pressures of components:

P = P2(O2) + P2(CO2) = 147,200 N/m^2 = 147,000 N/m^2

Calculate the pressures of gases at the final conditions:

Oxygen:

P1V1/T1 = P2V2/T2

P2(O2) = P1V1T2/V2T1 = 92,000*35*328/(40*358) = 73,750 N/m^2

Carbon dioxide:

P1/T1 = P2/T2

P2(CO2) = P1T2/T1 = 73,350 N/m^2

The total pressure in systems is the sum of partial pressures of components:

P = P2(O2) + P2(CO2) = 147,200 N/m^2 = 147,000 N/m^2

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