1) A piston-cylinder system containing 1100 grams of an ideal gas ‘X’ is cooled from 900 K to 100 K at constant pressure. The specific heat capacity of the gas is Cp = 38.3 J.mol-1.K-1. Assume Cp stays constant in the given temperature range. The molar mass of the gas = 28 g.mol-1. a) Write the simplified first law of thermodynamics for this system with justification. b) Calculate the total heat transferred (in kJ) during the process of cooling c) If the entire heat from the cooling of ‘X’ (as calculated in (b)) could be used as work to change the volume of another gas ‘Y’ from 500 m3 to 1000 m3 in a constant pressure process, calculate the value of pressure. d) Instead of cooling at constant pressure, if ‘X’ was expanded reversibly and at a constant temperature (300K), calculate the work done by the system in kJ if the change in volume was 10-fold.
1) A piston-cylinder system containing 1100 grams of an ideal gas ‘X’ is cooled from 900 K to 100 K at constant pressure. The specific heat capacity of the gas is Cp = 38.3 J.mol-1.K-1. Assume Cp stays constant in the given temperature range. The molar mass of the gas = 28 g.mol-1.
a) Write the simplified first law of
b) Calculate the total heat transferred (in kJ) during the process of cooling
c) If the entire heat from the cooling of ‘X’ (as calculated in (b)) could be used as work to change the volume of another gas ‘Y’ from 500 m3 to 1000 m3 in a constant pressure process, calculate the value of pressure.
d) Instead of cooling at constant pressure, if ‘X’ was expanded reversibly and at a constant temperature (300K), calculate the work done by the system in kJ if the change in volume was 10-fold.
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