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Thermodynamics

Question
CBSEENCH11006167

Calculate the energy needed to raise the temperature of 10.0 g of iron from 25°C to 500°C if specific heat capacity of iron is 0.45 J(°C)–1 g–1.

Solution

We know that
            straight q space equals space straight c space cross times space straight m space cross times space increment straight T space space space space space space space space space space space space space space space space... left parenthesis 1 right parenthesis
Here      straight c space equals space 0.45 space straight J left parenthesis degree straight C right parenthesis to the power of negative 1 end exponent straight g to the power of negative 1 end exponent semicolon
m = 10.0 g
             increment straight T space equals space 500 degree straight C space minus space 25 degree straight C space equals space 475 degree straight C
Substituting the values in (1), we have,
        straight q space equals space 0.45 degree straight J left parenthesis degree straight C right parenthesis to the power of negative 1 end exponent straight g to the power of negative 1 end exponent space cross times left parenthesis 10.0 straight g right parenthesis space cross times space left parenthesis 475 degree straight C right parenthesis
space space space equals 2.1 space cross times space 10 cubed straight J