A British thermal unit (Btu) is a unit of heat in the British system of units. One Btu is defined as the heat needed to raise 1 lbof water by 1 F°. Show that
1Btu = 0.252kcal = 1056J.
Prove that 1 BTU is 0.252 Kcal or 1056 J
Answer to Problem 5P
Solution:
1 BTU is 0.252 Kcal or 1056 J
Explanation of Solution
Given:
is to be determined
of water is 4186 J/kgK
is 1 lb or 0.45 kg
is 1 F
Formula Used:
The formula used is the relation between temperature and specific heat from thermodynamics
Where,
is the heat transferred
is the specific heat
is the mass
is the final temperature
is the initial temperature
Calculation:
To convert Fahrenheit to Celsius the formula is
For a temperature differential of 1 F the equivalent in C is
Since, ,
Given above, F
C
So C
Inserting the given values in the heat capacity formula:
J
So, 1 BTU is J
Since 1000 Calories is 4186 J
1046 J is Calories or 0.252 kcal
Chapter 14 Solutions
Physics: Principles with Applications
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