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Physics

1300 J of heat energy is supplied to raise the temperature of 0.5 kg of lead from 20° C to 40° C. Calculate the specific heat capacity of lead.

Calorimetry

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Answer

Given,

Heat energy supplied (Q) = 1300 J

Mass of lead (m) = 0.5 kg

Change in temperature (△t) = (40 – 20)°C = 20° C

Specific heat capacity (c) = ?

From relation,

Q=m×c×tQ = m \times c \times △t \\[0.5em]

Substituting the values in the formula above we get,

1300=0.5×c×20c=13000.5×20c=130 J kg1K11300 = 0.5 \times c \times 20 \\[0.5em] \Rightarrow c = \dfrac{1300}{0.5 \times 20} \\[0.5em] \Rightarrow c = 130 \text{ J kg}^{-1} \text{K}^{-1}

Hence, specific heat capacity of lead = 130 J kg-1 K-1

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