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# A backpacker wants to carry enough fuel to heat 2.5 kg of ISBN: 9780321910295 34

## Solution for problem 103P Chapter 3

Introductory Chemistry | 5th Edition

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Problem 103P

A backpacker wants to carry enough fuel to heat 2.5 kg of water from 25 °C to 100.0 °C. If the fuel she carries produces 36 kJ of heat per gram when it burns, how much fuel should she carry? (For the sake of simplicity, assume that the transfer of heat is 100% efficient.)

Step-by-Step Solution:

Solution 103P :

Given :

Mass of water = 2.5 kg.

Ti  = 25 °C

Tf = 100 °C

fuel she carries produces 36 kJ of heat per gram when it burns,

Mass of fuel she should carry = ?

Specific heat of water =  4.186 J/g °C

Step 1:

First let’s calculate : = Tf - Ti                  [Tf -is the final temperature and Ti is the initial temperature]

= 100 - 25 = 75 °C

Now that we have all the data required , let’s calculate the heat energy required :

Q = mc Q = 2.5 kg 4.186 J/g °C 75 °C

= 784.875 kJ

Step 2 of 2

##### ISBN: 9780321910295

The answer to “A backpacker wants to carry enough fuel to heat 2.5 kg of water from 25 °C to 100.0 °C. If the fuel she carries produces 36 kJ of heat per gram when it burns, how much fuel should she carry? (For the sake of simplicity, assume that the transfer of heat is 100% efficient.)” is broken down into a number of easy to follow steps, and 54 words. Since the solution to 103P from 3 chapter was answered, more than 1509 students have viewed the full step-by-step answer. Introductory Chemistry was written by and is associated to the ISBN: 9780321910295. The full step-by-step solution to problem: 103P from chapter: 3 was answered by , our top Chemistry solution expert on 05/06/17, 06:45PM. This full solution covers the following key subjects: heat, Fuel, carry, assume, burns. This expansive textbook survival guide covers 19 chapters, and 2045 solutions. This textbook survival guide was created for the textbook: Introductory Chemistry, edition: 5.

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