Degrees Celcius to Farenheight, Conversion issues

In summary: Instead use:ΔF = 1.8 Δ CIn summary, to convert a temperature difference from degrees Celsius to degrees Fahrenheit, you must use the equation ΔF = 1.8 ΔC. Adding 32 to the result will not give the correct answer, as the 32 only serves as an offset to align the two scales.
  • #1
Nellen2222
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Degrees Celcius to Farenheight, Conversion issues !

Homework Statement


You work in a materials testing lab ad your boss tells you to increase the temperature of a sample by 41.7 degrees celcius. Theo nly thermometer you can find at your workbench reads in degrees fahrenheit. If the initial temperature of the sample is 68.2 degrees farenheight, what is its temperature in degrees farenheight when the desired temperature increase has been achieved?


Homework Equations



F degrees = (1.8*C) + 32

The Attempt at a Solution



Tried changing 41.1 degrees celcius into fareneheight and got 107.06. Added that to the initial degrees and got 175.26 Farenheight. However, the answer is still wrong. (3 sig dig rounded to its actually 175.. not that the answer is correct)

What am i doing wrong?
 
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  • #2


Nellen2222 said:

Homework Statement


You work in a materials testing lab ad your boss tells you to increase the temperature of a sample by 41.7 degrees celcius. Theo nly thermometer you can find at your workbench reads in degrees fahrenheit. If the initial temperature of the sample is 68.2 degrees farenheight, what is its temperature in degrees farenheight when the desired temperature increase has been achieved?


Homework Equations



F degrees = (1.8*C) + 32

The Attempt at a Solution



Tried changing 41.1 degrees celcius into fareneheight and got 107.06. Added that to the initial degrees and got 175.26 Farenheight. However, the answer is still wrong. (3 sig dig rounded to its actually 175.. not that the answer is correct)

What am i doing wrong?

Degrees Celsius/Fahrenheit is not the same as Celsius/Fahrenheit degrees. This is a sentence whose meaning is that there is a difference between a given temperature, and a temperature difference. Your equation is actually valid only for given temperatures. For temperature intervals, you need:
[tex]
\begin{array}{l}
\frac{t_1}{\mathrm{^{o}F}} = \frac{9}{5} \, \frac{t_1}{\mathrm{^{o}C}} + 32 \\

\frac{t_2}{\mathrm{^{o}F}} = \frac{9}{5} \, \frac{t_2}{\mathrm{^{o}C}} + 32
\end{array}
[/tex]
[tex]
\frac{t_2 - t_1}{\mathrm{F^{o}}} = \frac{9}{5} \, \frac{t_2 - t_1}{\mathrm{C^{o}}}
[/tex]

Notice the different placement of the "o" symbol. One denotes degrees Celsius/Fahrenheit (current temperature), and the other denotes Celsius/Fahrenheit degrees (temperature interval).
 
  • #3


A change of 1°F equals a change of 1.8°C.
 
  • #4


You work in a materials testing lab ad your boss tells you to increase the temperature of a sample by 41.7 degrees celcius. The only thermometer you can find at your workbench reads in degrees fahrenheit. If the initial temperature of the sample is 68.2 degrees farenheight, what is its temperature in degrees farenheight when the desired temperature increase has been achieved?

The equation for converting C to F can't be used to convert ΔC to ΔF directly.

Try converting 68.2F to C, add 41.7C and convert it back.
 
  • #5


If F = 1.8 C + 32, then

ΔF = 1.8 Δ C

What is ΔF if ΔC = 41.1?
 
  • #6


Nellen2222 said:


Homework Equations



F degrees = (1.8*C) + 32


This equation is wrong for converting temperature differences from Celsius to Fahrenheit. Do not add the 32 deg. While Celsius degrees are 1.8 deg. larger than Fahrenheit degrees, the 32 degrees only provide and offset to align the two scales.
 

FAQ: Degrees Celcius to Farenheight, Conversion issues

1. How do I convert degrees Celsius to Fahrenheit?

To convert from degrees Celsius (°C) to Fahrenheit (°F), use the formula °F = (°C x 1.8) + 32. Simply multiply the temperature in degrees Celsius by 1.8 and then add 32 to get the temperature in degrees Fahrenheit.

2. What is the conversion factor for degrees Celsius to Fahrenheit?

The conversion factor from degrees Celsius to Fahrenheit is 1.8. This means that for every degree Celsius, you need to multiply by 1.8 to get the equivalent temperature in Fahrenheit.

3. Why do we use different temperature scales?

Different temperature scales, such as Celsius and Fahrenheit, were created by different scientists and have been used in different parts of the world. Celsius is based on the freezing and boiling points of water, while Fahrenheit is based on the coldest temperature recorded in Europe and the average human body temperature.

4. How do I convert negative temperatures from Celsius to Fahrenheit?

To convert negative temperatures from degrees Celsius to Fahrenheit, follow the same formula: °F = (°C x 1.8) + 32. For example, -10°C would be converted to 14°F using this formula.

5. Can I use an online calculator to convert degrees Celsius to Fahrenheit?

Yes, there are many online conversion calculators available that can quickly and accurately convert degrees Celsius to Fahrenheit. However, it is always good to know the formula and how to do the conversion manually in case you do not have access to an online calculator.

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