A flow calorimeter is an apparatus used to measure the

Chapter , Problem 65

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A flow calorimeter is an apparatus used to measure the specific heat of a liquid. The technique is to measure the temperature difference between the input and output points of a flowing stream of the liquid while adding energy at a known rate. (a) Start with the equations Q 5 mc(DT) and m 5 rV, and show that the rate at which energy is added to the liquid is given by the expression DQ /Dt 5 rc(DT)(DV/Dt). (b) In a particular experiment, a liquid of density 0.72 g/cm3 flows through the calorimeter at the rate of 3.5 cm3/s. At steady state, a temperature difference of 5.8C is established between the input and output points when energy is supplied at the rate of 40 J/s. What is the specific heat of the liquid?

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