When backpacking in wilderness, hickers often boil water to sterilize it for drinking. Suppose that you are planning a backpack trip and will need to boil 35 L of water for your group, how many L of fuel should you bring? Formula for fuel C7H16. 15% of heat generated from combustion goes to heat the water. Density of fuel is 0.78 g/mL. Initial temp is 25 degree Celsius and standard enthalpy of C7H16 is -224.4 kJ/mol.

Question
Asked Oct 28, 2019

When backpacking in wilderness, hickers often boil water to sterilize it for drinking. Suppose that you are planning a backpack trip and will need to boil 35 L of water for your group, how many L of fuel should you bring? Formula for fuel C7H16. 15% of heat generated from combustion goes to heat the water. Density of fuel is 0.78 g/mL. Initial temp is 25 degree Celsius and standard enthalpy of C7H16 is -224.4 kJ/mol.

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Step 1

Given data:

Volume of water = 35 L
Percent of heat generated 15%
Density of fuel 0.78 g/mL
Initial temperature 25 °C
Final temperature 100 °C(Boiling of water)
Standard enthalpy of C,H16 224.4 kJ/mol
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Volume of water = 35 L Percent of heat generated 15% Density of fuel 0.78 g/mL Initial temperature 25 °C Final temperature 100 °C(Boiling of water) Standard enthalpy of C,H16 224.4 kJ/mol

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Step 2

The mass of water is calculated as shown below.

Mass
Density
water
water
Volumeater
Mass
1g/mL)
(Density,
water
1g/mL
water
35 L
1000 mL
Masste1/mL x35 L
1L
35000 g
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Mass Density water water Volumeater Mass 1g/mL) (Density, water 1g/mL water 35 L 1000 mL Masste1/mL x35 L 1L 35000 g

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Step 3

Total heat required is to boil water ...

9-тСАТ
-тc (т, -т)
..(1)
Where,
m is the mass of water
Cis the specific heat(4.186 J/g. °C)
T, is the final temperature.
T is the final temperature.
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9-тСАТ -тc (т, -т) ..(1) Where, m is the mass of water Cis the specific heat(4.186 J/g. °C) T, is the final temperature. T is the final temperature.

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