A slice of bread contains about 115 kcal.If specific heat of a person were 1.00 kcal/kg⋅°C,by how many °C would the temperature of a 65.0-kg person increase if all the energy in the bread were converted to heat?

Question

A slice of bread contains about 115 kcal.If specific heat of a person were 1.00 kcal/kg⋅°C,by how many °C would the temperature of a 65.0-kg person increase if all the energy in the bread were converted to heat?
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Quizplus · Accepted Answer

To determine the temperature increase, we need to use the formula:

Q = mcΔT

where Q is the energy absorbed (in kcal), m is the mass (in kg), c is the specific heat (in kcal/kg⋅°C), and ΔT is the change in temperature (in °C).

We know that the energy absorbed is 115 kcal and the mass of the person is 65.0 kg. We are given that the specific heat of the person is 1.00 kcal/kg⋅°C.

So, plugging in the numbers:

115 kcal = (65.0 kg)(1.00 kcal/kg⋅°C)(ΔT)

Solving for ΔT:

ΔT = 115 kcal / (65.0 kg)(1.00 kcal/kg⋅°C)

ΔT = 1.77°C

So, the temperature of the person would increase by 1.77°C if all the energy in the bread were converted to heat. Therefore, the best choice is C.

A Slice of Bread Contains About 115 Kcal