BMB428Dr. Song TanPhysical Chemistry with Biological ApplicationsFall 2007Problem Set 5: Heat CapacityDue Sept 13, 2007As with previous Problem sets, groups of four or fewer students can hand in a problem set together.1.A block of metal of mass 1 kg is heated to 400 K and then dropped into 0.3 kg of water. The waterrises in temperature from 294 K to 310 K. The heat capacity of water is 4200 J/K•kg. You canassume that all of the heat in the metal passed into the final system with no loss to the surroundings.Draw a cartoon showing the initial and final states of this system. Calculate the heat capacity per kgof the metal. Assume no work is exchanged.2.What experimental conditions distinguishes CPfrom CV?3.Use the First Law of Thermodynamics and the definition of heat capacity (p. 50, also equation 3.16)to show that dq = CVdT + P dV (equation was introduced in Problem Set 2, question 8) for an idealgas. Assume that P = Pext.
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