How do you convert BTU/lbF into J/kgK?

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SUMMARY

The conversion of BTU/lbF to J/kgK requires an understanding of both the energy and temperature scales involved. Specifically, 1 BTU equals 1055 J, 1 lb equals 1/2.2046 kg, and the conversion factor for temperature differences is 5/9 when comparing Fahrenheit to Kelvin. The correct formula for converting BTU/lbF to J/kgK is 1055/(1/2.2046) * (5/9), which yields the specific heat of water as 4186 J/kgK. Misunderstanding the temperature difference versus temperature value led to initial confusion in the calculations.

PREREQUISITES
  • Understanding of BTU and Joules as energy units
  • Knowledge of mass conversion between pounds and kilograms
  • Familiarity with temperature scales, specifically Fahrenheit and Kelvin
  • Basic algebra for unit conversion calculations
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  • Study the principles of thermodynamics and specific heat capacities
  • Learn about unit conversions in physics, focusing on energy and temperature
  • Explore the relationship between different temperature scales, particularly Fahrenheit and Kelvin
  • Practice conversion problems involving BTU, Joules, and specific heat calculations
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Students in physics or engineering, professionals in thermodynamics, and anyone involved in energy calculations or conversions will benefit from this discussion.

jamesfirst
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I know 1BTU = 1055J
1lb = 1/2.2046 kg
1 F = 255.928 K

then 1 BTU/lbF should be 1055/(1.2046)*255.928. But I get 9 plugging this in
the value is suppose to be 4186 J/kgK. this is the specific heat of water
 
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jamesfirst said:
I know 1BTU = 1055J
1lb = 1/2.2046 kg
1 F = 255.928 K

then 1 BTU/lbF should be 1055/(1.2046)*255.928. But I get 9 plugging this in
the value is suppose to be 4186 J/kgK. this is the specific heat of water
You've made a goofy mistake here. You're confusing a 1 degree F temperature difference with a temperature of 1° F.

On the Fahrenheit scale, there are 180 degrees separating the F.P. of water and its B.P. On the Kelvin scale, there are 100 degrees between the same two temperatures.
Thus, a temperature difference of 1°F = a temperature difference of 100 / 180 = 5/9 °K.

Try again to make your conversion.
 
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hey it works!
thanks. I've been confusing it with the temperature Fahrenheit the whole time ...
 

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