Question

Um termômetro graduado com uma escala X registra – 10 ºX para a temperatura do gelo fundente e 150 ºX para a temperatura da água fervente, ambos sob pressão normal. Determine a temperatura Celsius que corresponde a 30 ºX​

Answer 1

$\large\boxed{\begin{array}{l}\rm equac_{\!\!,}\tilde ao\,da\,temperatura\\\rm\dfrac{T_C-0}{100-0}=\dfrac{T_X-[-10]}{150-[-10]}\\\\\rm\dfrac{T_C}{100}=\dfrac{T_X+10}{150+10}\\\\\rm\dfrac{T_C}{100\div20}=\dfrac{T_X+10}{160\div20}\\\\\rm\dfrac{T_C}{5}=\dfrac{T_X+10}{8}\end{array}}$

$\large\boxed{\begin{array}{l}\rm Quando\,T_X=30^\circ X\,teremos:\\\rm\dfrac{T_C}{5}=\dfrac{30+10}{8}\\\\\rm \dfrac{T_C}{5}=\dfrac{40}{8}\\\\\rm\dfrac{T_C}{5}=5\\\\\rm T_C=5\cdot5\\\rm T_C=25^\circ C\end{array}}$