The specific heat of ice is 2.06 J/g°C.  Calculate how much energy is needed to heat a 52.0 gram sample of ice from -20.0 to 0.0°C

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The specific heat of ice is 2.06 J/g°C.  Calculate how much energy is needed to heat a 52.0 gram sample of ice from -20.0 to 0.0°C

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Step 1

The amount of heat energy required to raise the temperature of a substance can be calculated using the formula

Q = CpmdT

Where, Cp is the specific heat

m= mass of the substance 

dT = the difference in temperature

Given, Cp =2.06 J/g °C, m= 52.0 g, Ti =-20 °C, Tf =0 °C

Therefore, 

Q = Cpm-200dT =2.06×52.0×0+20 = 2142.4 J =2.142 kJ

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