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Converting Btu to J

  • Thread starter phrygian
  • Start date
  • #1
80
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Homework Statement



I am just trying to convert Btu to J based on the heat capacity of water and it is not giving me the right answer.

Homework Equations





The Attempt at a Solution



Btu = C(water) * m(1 lb) * dt(1 F)

1 lb = 0.454 kg
1 F = 9/5 K

1 Btu = 4.186 kJ/(kg*K) * .454 kg * (9/5)K = 3.42 kJ < should be 1054 J, what am I doing wrong?
 

Answers and Replies

  • #2
mgb_phys
Science Advisor
Homework Helper
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Perhaps (5/9) ?
 
  • #3
80
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I thought 1 F = 9/5*C + 32?
 
  • #4
mgb_phys
Science Advisor
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You want the amount of energy to heat the water through 1 fahrenheit so it's c->f
 
  • #5
80
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I have the heat capacity of water in kJ/(kg*K) so arent I converting 1 fahrenheit degree to K?
 
  • #6
mgb_phys
Science Advisor
Homework Helper
7,774
12
You are calculating the energy needed to heat one pound of water through 1 f
So just like you have the amount of kg in a lb (0.454) you also need the amount of c in an 'f' ie 5/9
 

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