In the following take Cv= 20.8 and Cp= 29.1 J/mol*C fornitrogen gas. (a) Three m

Question

In the following take Cv= 20.8 and Cp= 29.1 J/mol*C fornitrogen gas. (a) Three moles of nitrogen at 30 C, contained in a rigidvessel, is heated to 250 C. How much heat is required if the vesselhas a negligible heat capacity? If the vessel weighs 100 kg and hasaheat capacity of 0.5 kJ/kg*C, How much heat is required? (b) Four moles of nitrogen at 200 C is contained in apiston/cylinder arrangement. how much heat must be extracted fromthis system, which is kept at constant pressure, to cool it to 40 Cif the heat capacity of the piston and cylinder is neglected? In the following take Cv= 20.8 and Cp= 29.1 J/mol*C fornitrogen gas. (a) Three moles of nitrogen at 30 C, contained in a rigidvessel, is heated to 250 C. How much heat is required if the vesselhas a negligible heat capacity? If the vessel weighs 100 kg and hasaheat capacity of 0.5 kJ/kg*C, How much heat is required? (b) Four moles of nitrogen at 200 C is contained in apiston/cylinder arrangement. how much heat must be extracted fromthis system, which is kept at constant pressure, to cool it to 40 Cif the heat capacity of the piston and cylinder is neglected?

Explanation / Answer

(a) . Here heat is absorbed by the vessel &The gas inside the vessel           q = q1+q2            q1 = 3mol* 20.8J.mol-1.0C-1*(2500C - 300C)                 =13728J                          q2 = 100kg*0.5x1000J.kg-1.0C-1 * (2500C - 300C)                      =11000000J        q = 13728J+   11000000J               =11013728J ....................................... (b) Heat extracted = 4mol*Cp= 29.1J.mol-1.0C-1 *(2000C-400C)                               = 18624J (b) Heat extracted = 4mol*Cp= 29.1J.mol-1.0C-1 *(2000C-400C)                               = 18624J

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