least three significant figures in all calculations and answers. example positive or negative) in your final answer. Area Formulas: triangle: A ½ bh trapezoid: A ½ (h, +h₂) b Circle: A= r²(n/4)D2 1 (15 points) A 4.00-kg mass of metal of unknown specific heat at a temperature of 600°C is dropped into 0.500 kg of ice and 0.600 kg of water both at 0.00°C. The system is insulated and with no heat losses to the surroundings, and the heat capacity of the container can be assumed to be zero. The equilibrium temperature of the mixture is 80.0°C. Determine: the specific heat of the metal Determine (a) the work done on the system during the process. the eveham 2 (20 points) 4.00 moles of a monatomic gas is initially at point A and undergoes a quasi-static process from A to B to C in the path shown on the P-V diagram given below. The temperature at B is 87.8°C and the temperature at C is 27.7°C Determine (a) the temperature at point A Pressure, Pa 200,000 (b) the change of internal energy in the system during the process (c) the work done by the gas during the process (d) the work done on the gas during the process (e) the heat flow into our out of the system during the process 100,000 0 .02 22 A .04 .06 .08 80 .10 Volume, m³ 3. (15 points) Three moles of a diatomic gas with a pressure of 3 atmospheres and volume of 15 liters is expanded at a constant pressure until it reaches a volume of 20 liters. It is then it is expanded at a constant temperature (isothermally) until it reaches a pressure of 2 atmospheres, a volume of 30.0 liters. and a temperature of 243.7K. (P-V diagram given below). Determine (a) the work done on the system during the process (b) the heat flow into or out of the system Pressure, Atreoshperes 3.5 2.5 2 1.5 3 1 10 15 20 25 30 35 55 Volume, Liters P, atm 5.0 4. (25 points) As shown in the P-V diagram below, Nitrogen is initially at point A and undergoes a adiabatic expansion from A to B and then an isothermal expansion from B to C. At point A the temperature is 200°C. Determine (a) the temperature and volume at point B (6points) (b) the temperature and volume at point C (5 points) (c) the work done on the gas from A to C (8 points) (d) the change in internal energy from A to C (8 points) (e) the heat absorbed by the gas from A to C (8 points) 2.5 B 1.0 1.0 V. L C B A 5. (25 points) 1.62 moles of Nitrogen is taken through the following quasi-static cycle: It is initially at point A with a pressure of 2.00 atm, an unknown volume and a temperature 246K. It is adiabatically compressed until it reaches point B where it has a pressure of 4 atmospheres. From point B, the gas expanded at a constant pressure until it reaches point C where it has the same volume as point A. The gas is then cooled at constant volume until it reaches the original point A. Determine (a) the pressures, volumes and temperatures of each point and give in the table below (b) P-V diagram (Label points A, B, and C) (c) the work done on the gas in one complete cycle (d) the change in internal energy in one complete cycle (e) the heat flow into the system in one compete cycle Point P. Pa V, m^3 T, K 4 Pressure, Atmoshperes 3.5 2.5 2 3 1.5 8 10 10. 12 14 16 Volume, Liters 18 20 20 22 22 24