A piece of iron of mass 2.0 kg has a heat capacity of 966 J $K^{- 1}$ .Find:(i) heat energy needed to warm it by $15^{\circ} C$ ,and (ii) its specific heat capacity in S.I. unit

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Solution

Given: m = 2.0 kg, Thermal capacity = 966 J/^oC

i) Rise in temperature = 15 ^oC

Thermal capacity (C) $equals fraction numerator H e a t space r e q u i r e d over denominator R i s e space i n space t e m p e r a t u r e end fraction$

Therefore, heat needed = 966 x 15 = 14490 J

ii) Specific heat capacity (c),

$equals fraction numerator a m o u n t space o f space h e a t over denominator m a s s cross times r i s e space i n space t e m p e r a t u r e end fraction equals fraction numerator 14490 over denominator 2 cross times 15 end fraction equals 483 space bevelled fraction numerator j over denominator begin display style bevelled fraction numerator k g over denominator degree c end fraction end style end fraction$

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A piece of iron of mass 2.0 kg has a thermal capacity of 966 JK $^{- 1}$ . Find the heat energy needed to warm it by $15^{0} C$ .

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