Physics: Principles with Applications
Physics: Principles with Applications
6th Edition
ISBN: 9780130606204
Author: Douglas C. Giancoli
Publisher: Prentice Hall
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Chapter 14, Problem 21P

Estimate the Calorie content of 65 g of candy from the following measurements. A 15-g sample of the candy is placed in a small aluminum container of mass 0.325 kg filled with oxygen. This container is placed in 1.75 kg of water in an aluminum calorimeter cup of mass 0.624 kg at an initial temperature of 15.0°C. The oxygen-candy mixture in the small container (a “bomb calorimeter”) is ignited, and the final temperature of the whole system is 53.5°C.

Expert Solution
Check Mark
To determine

Section 1:

The heat gained.

Answer to Problem 21P

Solution:

The heat gained is 75.41 kcal.

Explanation of Solution

Given info:

The mass of candy is 15 g, the mass of aluminum container is 0.325 kg, the mass of water is 1.75 kg, the mass of aluminum calorimeter cup is 0.624 kg, the initial temperature is 15 °C and the final temperature is 53.5 °C.

The principle of calorimetric is written as,

Heat lost=Heat gained

The heat gained is calculated as,

Heat gained=+(mAlcAl(TfTi)+mwcw(TfTi)+mCcAl(TfTi))=(TfTi)(mAlcAl+mwcw+mCcAl)

mAl is the mass of aluminum container.

mw is the mass of water.

mC is the mass of calorimeter.

cAl is the specific heat capacity of aluminum.

cw is the specific heat capacity of water.

Tf is the final temperature.

Ti is the initial temperature.

Substitute 0.325 kg for mAl, 1.75 kg for mw, 0.624kg for mC, 0.22 kcal/kg °C for cAl, kcal/kg °C for cw, 15 °C for Ti and 53.5 °C for Tf in above equation to find heat gained.

Heat gained=(53.5 °C15 °C){(0.325 kg)(0.22 kcal/kg °C)+(1.75 kg)(kcal/kg °C)+(0.624kg)(0.22kcal/kg °C)}=75.41 kcal

Expert Solution
Check Mark
To determine

Section 2:

The energy liberated from calorie content of 65 g candy.

Answer to Problem 21P

Solution:

The energy liberated from calorie content of 65 g candy is 326.78 kcal.

Explanation of Solution

Given info:

The mass of candy is 15 g, the mass of aluminum container is 0.325 kg, the mass of water is 1.75 kg, the mass of aluminum calorimeter cup is 0.624 kg, the initial temperature is 15 °C and the final temperature is 53.5 °C.

The heat gained is nothing but the amount of energy that was liberated from the 15 g sample.

The energy liberated from the 65 g is calculated as,

E=Heat gained×65 g15 g=75.41 kcal×65 g15 g=326.78 kcal

Chapter 14 Solutions

Physics: Principles with Applications

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