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A piece of metal weighing 10.0 g is heated to raise its temperature from 25.0 °C to 76.5 °C. It is found that the metal absorbed 47.6 cal of heat in the process.(4pts)a. Calculate the specific heat of the metal. Include appropriate units.Note that mis mass of solution in Equation 8.1.

Question

A piece of metal weighing 10.0 g is heated to raise its temperature from 25.0 °C to 76.5 °C. It is found that the metal absorbed 47.6 cal of heat in the process.(4pts)a. Calculate the specific heat of the metal. Include appropriate units.Note that mis mass of solution in Equation 8.1.

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Solution

To calculate the specific heat of the metal, we can use the formula:

q = mcΔT

where: q = heat absorbed by the substance (in calories) m = mass of the substance (in grams) c = specific heat (in cal/g°C) ΔT = change in temperature (in °C)

We are given: q = 47.6 cal m = 10.0 g ΔT = 76.5°C - 25.0°C = 51.5°C

We can rearrange the formula to solve for c:

c = q / (mΔT)

Substituting the given values:

c = 47.6 cal / (10.0 g * 51.5°C) = 0.0926 cal/g°C

So, the specific heat of the metal is approximately 0.0926 cal/g°C.

This problem has been solved

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