- #1
Saladsamurai
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I do not understand how they went from [itex]\ln T_c-\lnT_H=\theta_c-\theta_H[/itex]
to
[itex]\theta=\ln T+C[/itex]
Why did the subscripts drop out? What just happened?
KELVIN scale-Can't make sense of the last step of this solution
- Thread starter Saladsamurai
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In summary, the conversation discusses the process of converting the equation ln T_c - ln T_H = theta_c - theta_H to the equation theta = ln T + C. The subscripts are dropped because TH is taken to be a fixed temperature, eliminating the need for the "C" subscript. The use of "C" and "H" in the equations represent different measurements of temperature.
I do not understand how they went from [itex]\ln T_c-\lnT_H=\theta_c-\theta_H[/itex]
to
[itex]\theta=\ln T+C[/itex]
Why did the subscripts drop out? What just happened?
- #2
physicsnoob93
- 169
- 0
exp means e^thethac if that is thetha
so you get e^(thethac-thethah) is Tc/Th.
If you ln both sides, you'll get ln(Tc/Th) = lnTc-lnTh and on the other side lne^(thethac-thethah) = (thethac-thethah)lne. lne is one.
Thus
lnTc-lnTh = thethac-thethah
so you get e^(thethac-thethah) is Tc/Th.
If you ln both sides, you'll get ln(Tc/Th) = lnTc-lnTh and on the other side lne^(thethac-thethah) = (thethac-thethah)lne. lne is one.
Thus
lnTc-lnTh = thethac-thethah
- #3
HallsofIvy
Science Advisor
Homework Helper
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"C" and "H" just represent different measurements of the temperature. Since you take TH to be a fixed temperature, that just leaves one temperature- you don't need the "C" to distinguish it form "H".
- #4
Saladsamurai
- 3,020
- 7
I am sorry Halls, I don't quite follow. What do you mean I take TH to be fixed?
1. What is the Kelvin scale?
The Kelvin scale is a temperature scale that starts at absolute zero (-273.15 degrees Celsius) and is based on the properties of ideal gas laws. It is commonly used in scientific research and is the standard unit for temperature in the International System of Units (SI).
2. How is the Kelvin scale different from the Celsius and Fahrenheit scales?
Unlike the Celsius and Fahrenheit scales, which are based on arbitrary values, the Kelvin scale is based on absolute zero. This means that the Kelvin scale has no negative values and it is the only temperature scale that does not use the degree symbol.
3. What is the formula for converting Celsius to Kelvin?
The formula for converting degrees Celsius to Kelvin is K = °C + 273.15. This is because the Kelvin scale starts at absolute zero, which is equivalent to -273.15 degrees Celsius.
4. How do you convert Fahrenheit to Kelvin?
To convert degrees Fahrenheit to Kelvin, you can use the formula K = (°F + 459.67) x 5/9. This is because the relationship between the Fahrenheit and Kelvin scales is based on the same interval, but the zero points are different.
5. Can you explain the last step of the solution for converting temperature to Kelvin?
The last step in converting temperature to Kelvin is to add 273.15 to the temperature in degrees Celsius. This is because the Kelvin scale starts at absolute zero, which is equivalent to -273.15 degrees Celsius. By adding 273.15, you are essentially shifting the temperature to the Kelvin scale, where 0 is equivalent to absolute zero.
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