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Heat is supplied uniformly at the rate of 100W ... - JAMB Physics 2020 Question

Heat is supplied uniformly at the rate of 100W to 1.0 x 10\(^{-2}\)kg of a liquid for 20 seconds. If the temperature of the liquid rises by 5\(^o\)C, then the specific heat capacity of the liquid is 

A

2.0 x 10\(^2\)Jkg\(^-1\)K\(^-1\)

B

2.0 x 10\(^2\)Jkg\(^-1\)

C

4.0 x 10\(^4\)Jkg\(^-1\)K\(^-1\)

D

4.0 x 10\(^4\)Jkg\(^-1\)

correct option: c

Heat energy = Electrical Energy 

Hence,

MC\(\theta\) = power x time 

5 x 1 x 10\(^{-2}\) x C = 100 x 20 

C = \(\frac{200}{5 \times 10^2}\) 

= 4 x 10\(^4\) J/kg/\(^oC\) 

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