We know that specific heat of water is 4186 J/kg °C This is the amount of heat per unit mass required to raise/change the temperature by one degree Celsius.
We also know that ∆°C = 5/9 °∆F = ∆K (comparing change of temperature 1°C with 1°F and 1K).
So will specific heat of water also be 4186J/ (kg *(5/9)°F) = 7524J/ (kg °F)?
Thinking about it logically, celcius scale as 100 divisions whereas Farenheit scale has 180 divisions.Assuming length of both scales are same, we would require less heat to raise by 1 division in Farenheit scale due to more divisions so smaller length of each division. By ratio and proportion, we get s = 4186 * 5/9 J/(kg °F) = 2322.22 J/(kg °F).
Which is correct? I couldn't find the value in this scale anywhere.