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 = mc (?T ) m = ρV and, and show that the rate at which energy is added to the liquid is given by the expression ?Q /?t = ρc (?T )(?V/?t).(b) In a particular experiment, a liquid of density 0.72 g/cm3 flows through the calorimeter at the rate of 3.5cm3/s. At steady state, a temperature difference of 5.8°C 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?

Principles of Physics: A Calculus-Based Text
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Author:Raymond A. Serway, John W. Jewett
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Chapter17: Energy In Thermal Processes: The First Law Of Thermodynamics
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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 = mc (?T ) m = ρV and, and show that the rate at which energy is added to the liquid is given by the expression ?Q /?t = ρc (?T )(?V/?t).

(b) In a particular experiment, a liquid of density 0.72 g/cm3 flows through the calorimeter at the rate of 3.5cm3/s. At steady state, a temperature difference of 5.8°C 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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