Specific Heat of MetalDATA ΤΑBLERoom temperature Tr 23.6 °CТуре ofmetalSpecific heatof calorimeterand stirrer ccsMass ofMass ofMass ofInitialInitialFinalmetal mmtemperature temperature temperatureof watercalorimeterwater mw(g)and stirrer mcs(8)of metalof the(g)(cal/(g.°C)Tm (°C)Tw (°C)systemTf (°C)25.6Cu120.765.30.22183.399.621.6Type of MetalCm (experimental)Cm (accepted)percent error

The data table is given below : The specific heat of water is 1 cal/g°C.Now, according to the calorimetry principle : Heat absorbed by water+Heat absorbed by calorimeter and stirrer=Heat lost by CopperSo, Qwater+Qcal=-QCu (-ve sign represents loss of heat)The heat absobed or released can be given by :Q=mC∆THere m is the massC is the specific heat∆T=Tfinal-TinitialThus,mwaterCwaterTf-Ti+mcalCcalTf-Ti=mCuCCuTf-TiThus, putting known values from the data table, we get : 183.3 g×1 cal/g°C×25.6-21.6°C+65.3 g×0.22 J/g°C×25.6-21.6°C=-120.7 g×CCu×25.6-99.6°CCCu=183.3 g×1 cal/g°C×25.6-21.6°C+65.3 g×0.22 J/g°C×25.6-21.6°C-120.7 g×25.6-99.6°C=733.2+57.46 cal8931.8 g°C⇒0.0885 cal/g°C or 0.370 J/g°C (SInce 1 cal=4.18 J) But the accepted value of specific heat of copper is 0.385 J/g°C. Thus, % error can be calculated as : %error=CCu(accepted)-CCu(experimental)CCu(accepted)×100%=0.385-0.3700.385×100%⇒3.90%Therefore, Type of metal=Copper (Cu)CCu(experimental)=0.370 J/g°CCCu(accepted)=0.385 J/g°CPercent error=3.90%