100.0 g of an aqueous solution containing lead nitrate and 100.0 g of an aqueous solution containing sodium iodide (both solutions at 22.6 C), are mixed in a calorimeterwith a heat capacity of 472 J/C.; thereactants undergo a metathesis reaction that raises thetemperature of the mixture to 24.2 C. Calculate the amount of heat generated by the reaction, correcting for the heat absorbed by the calorimeter and assuming that the specific heat of the reaction solution is the same as water.
m = 100 g of sample Pb(NO3)2
m = 100 g of sample NaI
Ti = 22.6°C
C = 474 J/gC
Tf = 24.2°C
find Q generated
a)
First, identify total mass of solution
m = 100 g + 100 = 200 g of solution
C = 4.184 J/gC
The heat equation for calorimter
Qcalorimter = Ccal*dT = 472 * (24.2-22.6 ) = 755.2 J are absorbed by the calorimter
Qsolutions = mtotal * Csolutoin * (Tf-Ti) = 200*4.184*(24.2-22.6 ) = 1338.88 J absorbed
Therefore, for the reaction
Qreaction = -Qabsorbed
Qreaction = Qcal + Qsoln = 755.2 + 1338.88 =
Qreaction = -2094.08 J
Qrxn = -2.094 kJ
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