recitation11-solutions

recitation11-solutions - Physics 2750 Recitation 11 1. To...

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Unformatted text preview: Physics 2750 Recitation 11 1. To measure the specific heat of lead, you heat 600 g of lead to 100°C and place it in an aluminum calorimeter of mass 200 g that contains 500 g of water initially at 17°C. If the final temperature of the mixture is 20°C, what is the specific heat of lead? The specific heat of the aluminum container is 910 J/kgK, and of water is 4190 J/kgK. 2. A 400 g block of iron at 400°C is dropped into a calorimeter containing 60 g of water at 30°C. How much steam is produced? The latent heat of vaporization of water is 22.6 x 105 J/kg, the specific heat for iron is 448 J/kg K and for water is 4190 J/kg K. 3. A well‐insulated bucket contains 150 g of ice at ‐2°C. If 20 g of steam at 100°C is injected into the bucket, what is the final equilibrium temperature of the system? The latent heat of vaporization of water is 22.6 x 105 J/kg, the latent heat of fusion for ice is 3.34 x 105 J/kg, the specific heat for ice is 2100 J/kg K and for water is 4190 J/kg K. 4. A sample of a monoatomic ideal gas that occupies 5.0 L at atmospheric pressure and 300 K temperature is heated at constant volume to a pressure of 3 atm. Then it is allowed to expand isothermally to 1 atm and at last is compressed isobarically to its original state. Take R = 8 J/molK, 1 L = 10‐3 m3, 1 atm =105 N/m2. a) draw the cycle on a PV diagram b) find the number of moles in the gas sample c) find P,V, and T for each state d) in which process is heat absorbed and in which is released? e) calculate the work done in each process. f) calculate the net work done in one cycle. g) calculate the change in internal energy for one cycle h) calculate the heat exchanged in one cycle. 5. An ideal gas undergoes a cyclic process starting from point A at a volume of 1 L and a pressure of 2 atm. It expands at constant pressure until the volume is 2.5 L, after which it is cooled at constant volume until its pressure is 1 atm. It is then compressed at constant pressure until its volume is again 1 L, after which it is heated at constant volume until it is back in its original state. Draw this cycle on the PV diagram provided and find the total work done by the gas and the total heat added during the cycle. ). Take R = 8 J/molK, 1 L = 10‐3 m3, 1 atm =105 N/m2. ...
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