The heat energy absorbed by a body is equal to the product of its specific heat, mass and change in temperature. Therefore, we can say that heat energy = mass × specific heat capacity × change in temperature Hence, we can use the above formula to find out the mass of the sample of lead.
The specific heat capacity of lead is 0.128 J/g°C. The temperature of the sample of lead increased by 24.4°C when 257 J of heat was applied. Therefore, using the formula above:257 J = mass × 0.128 J/g°C × 24.4°CCanceling out the units, we have:mass = 257 J / (0.128 J/g°C × 24.4°C)mass = 68.8 gTherefore, the mass of the sample of lead is 68.8 g.
We have used the formula, heat energy = mass × specific heat capacity × change in temperature to calculate the mass of the sample of lead that is given in the question.
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