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Calculate the amount of heat released when 150 grams of steamat 105 degree C is

ID: 691120 • Letter: C

Question

Calculate the amount of heat released when 150 grams of steamat 105 degree C is converted to ice at   -12 degreeC. Use the information in the table below in your calculations asnecessary. Constant                                                 Value Specific heat ofwater                               4.184J/g degree C Specific heat ofsteam                              2.03 J/g degree C Specific heat ofice                                   2.09J/g degree C Heat of fusion ofice                                 333 J/g Heat of Vaporization ofwater                   2260J/g Calculate the amount of heat released when 150 grams of steamat 105 degree C is converted to ice at   -12 degreeC. Use the information in the table below in your calculations asnecessary. Constant                                                 Value Specific heat ofwater                               4.184J/g degree C Specific heat ofsteam                              2.03 J/g degree C Specific heat ofice                                   2.09J/g degree C Heat of fusion ofice                                 333 J/g Heat of Vaporization ofwater                   2260J/g

Explanation / Answer

Amount of heat released , Q = mcdt + mL + mc'dt + mL' +mc"dt"                                            = m(cdt + L + c'dt' + L' + c"dt" ) Where m = mass of water = 150 g           c =Specific heat of steam = 2.03 J/g degree C          c' = Specificheat of water= 4.184 J/g degree C          c" = Specificheat of ice= 2.09 J/g degree C          L = Heat ofVaporization of water = 2260 J/g          L'= Heat offusion of ice  = 333 J/g         dt = 105-100 =5oC        dt' = 100 -0 =100oC        dt" = 0-(-12)=12 oC Plug the values we get Q = m(cdt + L + c'dt '+ L'+ c"dt" )                                       = 456994.5 J                                       = 456.9945 KJ
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