A slice of bread contains about 100 kcal.If specific heat of a person were 1.00 kcal/kg* $\degree$C,by how many $\degree$C would the temperature of a 70.0-kg person increase if all the energy in the bread were converted to heat?
A)2.25 $\degree$C
B)1.86 $\degree$C
C)1.43 $\degree$C
D)1.00 $\degree$C

Question

A slice of bread contains about 100 kcal.If specific heat of a person were 1.00 kcal/kg* $\degree$C,by how many  $\degree$C would the temperature of a 70.0-kg person increase if all the energy in the bread were converted to heat?
A)2.25 $\degree$C
B)1.86 $\degree$C
C)1.43 $\degree$C
D)1.00 $\degree$C

Quizplus · Accepted Answer

To calculate the temperature increase of the person, we need to use the formula:

ΔT = Q / (m * c)

where ΔT is the temperature increase, Q is the energy in calories, m is the mass of the person in kg, and c is the specific heat capacity of the person in kcal/kg°C.

First, we need to convert the energy in the bread from kcal to calories:

100 kcal = 100,000 calories

Using the given values, we can plug them into the formula:

ΔT = 100,000 calories / (70.0 kg * 1.00 kcal/kg°C)
ΔT = 1,428.6 °C

However, this answer doesn't make sense because it implies that the person's temperature would increase to above the boiling point of water. Therefore, we need to convert the answer to degrees Celsius by dividing by 1000:

ΔT = 1,428.6 °C / 1000 = 1.43 °C

Therefore, the correct answer is C: 1.43 °C.

A Slice of Bread Contains About 100 Kcal °\degree° C,by How Many

A Slice of Bread Contains About 100 Kcal $\degree$ C,by How Many