You work in a materials testing lab and your boss tells you to increase the temperature of a sample by 34.0 ∘C . The only thermometer you can find at your workbench reads in degrees Fahrenheit.
If the initial temperature of the sample is 70.6 ∘F, what is its temperature in degrees Fahrenheit when the desired temperature increase has been achieved?
relation between celsius and Fahrenheit
C = (F - 32)*(5/9)
F = 32 + 9C/5
Now we need increase temperature of material by 34.0 C,
Now initial temperature in Fahrenheit = 70.6 F, So
Initial temperature in Celsius will be:
C = (70.6 - 32)*(5/9) = 21.44 C
Now to increase temperature by 34.0 C, final temperature in Celsius will be:
C1 = C + 34.0 = 21.44 + 34.0 = 55.44 C
Now 55.44 C in Fahrenheit will be:
Final temperature = 32 + 9*55.44/5
Final temperature = 131.792 F = 131.8 F
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