Question #55370

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Question #55370

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Answer 1 · 2015-07-03T02:47:19

409.2 $J k g^{- 1} K^{- 1}$ $Jkg^-1K^ -1$ or 0.409 $J g^{- 1} C^{- 1}$ $Jg^-1 C^-1$

Explanation:

Specific Heat Capacity is defined as amount of energy necessary to raise the temperature of a unit mass (kg) by one degree K i.e. in SI units $J k g^{- 1} K^{- 1}$ $Jkg^-1K^-1$
As degree change in C and K are same dividing the SI unit by 1000 gives value in $J g^{- 1} C^{- 1}$ $Jg^-1 C^-1$ 1 kg = 1,000 g
calculated by the formula $E = m c (T_{2} - T_{1})$ $E=mc(T_2-T_1)$ where E is the energy, m is the mass and $(T_{2} - T_{1})$ $(T_2-T_1)$ the change in temperature.

$89.8 = 13.3 \times c \times (37.2 - 20.7) c$ $89.8=13.3 xx c xx(37.2-20.7) c$
giving $c = 0.409 J g^{- 1} C^{- 1}$ $c= 0.409 Jg^-1 C^-1$

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Question #55370

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