Multiple Choice
Which temperature is equal to 120 K when converted to degrees Celsius?
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1. Intro to General Chemistry
Temperature
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At what temperature do the Fahrenheit and Celsius scales show the same numerical value?
A
100
B
0
C
-40
D
32
Verified step by step guidance1
Recall the formulas that relate Celsius (C) and Fahrenheit (F) temperatures. The conversion formula is given by: \(F = \frac{9}{5}C + 32\).
To find the temperature where the Fahrenheit and Celsius scales show the same numerical value, set \(F = C\) in the equation.
Substitute \(F\) with \(C\) in the formula: \(C = \frac{9}{5}C + 32\).
Rearrange the equation to isolate \(C\) on one side: \(C - \frac{9}{5}C = 32\).
Solve the resulting equation for \(C\) to find the temperature at which both scales are equal.
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