# Heat lost by hot water heat gained by cold water and

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Heat lost by hot water = heat gained by cold water and calorimeter-mhwcwΔThw= mcwcwΔTcw+CcΔTcEquation (2)-mhwcw(T3-T1) = mcwcw(T3-T2) + Cc(T3-T2) Equation (3)Where: mhw= mass of hot watermcw= mass of cold watercw= specific heat of water = 4190 J/kg.CCc= heat capacity of calorimeter including the stirrer and thermometer
T1= initial temperature of hot waterT2= initial temperature of cold water and calorimeterT3= final or equilibrium temperature of the systemFrom Equation (3), the heat capacity Ccof the calorimeter can be calculated.Part Bheat lost by hot water = heat gained by metal shots, tap water and calorimeter-mhwcwAThw= mscsATs= mcwcwATcw+ CcATcEquation (4)-mhwcw(T6-T4) = mscs(T6-T5) + mcwcw(T6-T5) + Cc(T6-T5)Equation (5)Where: mhw= mass of hot waterms= mass of metal shotsmcw= mass of cold watercw= specific heat of watercs= specific heat of the metal shotsCc= heat capacity of calorimeter including the stirrer and thermometerT4 = initial temperature of hot water
T5= initial temperature of the metal shots, cold water and calorimeterT6= final or equilibrium temperature of the systemFrom Equation (5), the specific heat csof the metal shots can be computed.*USC Physics 31 Lab ManualExperimental ProceduresLinear Expansion1.The experiment set-upwas prepared. (Refer to the Set-up manual provided by theinstructor or similarly at theright)2.We then took the thermometer reading and recorded this as the initial temperature Tof the metal pipe.3.The water was heated in the boiler until steam was produced.
4.When the water started boiling, the thermometer was held with a rag in proper position and observed the thermometer and the dial gauge readings. When their readings were not anymore changing, we took the readings as Tfand ΔL of the metal pipe. 5.After the readings are taken, we turned off the burner and allowed the metal pipe to cool down a bit before we removed. We then use a piece of rag to hold the pipe and ran tap water along its length to cool it back to room temperature faster and then dried it.6.We then determined the coefficient of linear expansion using the equation for it.7.We then repeated the steps using the second metal pipe.8.A second trial was also done.9.The average coefficient of linear expansion was taken using Equation (1) and the mean absolute deviation.Specific Heat Capacity Part A
1.We boiled the water on the boiler using a Bunsen burner. 2.The inner vessel was taken out of the calorimeter and we dried it thoroughly.3.100 ml of tap water was prepared in a beaker.4.We measured and recorded the empty inner vessel on a digital platform balance and then the total mass of the inner vessel and its contents.5.The inner vessel with the water were placed back into the calorimeter, with the lidcovering it, and along with the stirrer and thermometer.
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