Answer to Question #225646 in Molecular Physics | Thermodynamics for eren

Question

f the ^oF scale is thrice the ^oC scale, what are the values of ^oF and ^oC? in 2 decimal places

Answer 1

It is known that $\degree{F}=1.8\times\degree{C}+32.$ Therefore, this relationship can be represented as an equation:

$\frac{\degree{F}}{\degree{C}}=\frac{1.8\times\degree{C}+32}{\degree{C}}=3$

Solving this equation for ^oC, we get 26.67.

Fahrenheit scale is thrice the Celsius scale, hence $\degree{F}=26.67\times3=80.01$

Answer: 26.67^oC; 80.01^oF