Question

Como se converte 74°F em °K e depois para °C

Answer 1

Olá !

Convertendo 74 graus Fahrenheit em kelvin...


$\mathsf{\dfrac{T_{K} - 273}{5} =\dfrac{T_{F} - 32}{9}} \\\\\\ \mathsf{\dfrac{T_{K} - 273}{5} =\dfrac{74 - 32}{9}} \\\\\\ \mathsf{9(T_{K} - 273) = 5(74 - 32)} \\\\\\ \mathsf{9T_{K} - 2457 = 370 - 160} \\\\\\ \mathsf{9T_{K} - 2457 = 210} \\\\\\ \mathsf{9T_{K} = 210 + 2457} \\\\\\ \mathsf{9T_{K} = 2667} \\\\\\ \mathsf{T_{K} =\dfrac{2667}{9}} \\\\\\ \mathsf{T_{K} = 296,33}$


Convertendo 74 graus Fahrenheit em Celsius.

$\mathsf{\dfrac{T_{C}}{5} =\dfrac{(T_{F} - 32)}{9}} \\\\\\ \mathsf{\dfrac{T_{C}}{5} =\dfrac{74 - 32}{9}} \\\\\\ \mathsf{9T_{C} = 5(74 - 32)} \\\\\\ \mathsf{9T_{C} = 370 - 160} \\\\\\ \mathsf{T_{C} =\dfrac{(370 - 160}{9}} \\\\\\ \mathsf{T_{C} =\dfrac{210}{9}} \\\\\\ \mathsf{T_{C} = 23,33}$


$\textbf{RESPOSTA~~:}$


Em Kelvin é 296,33 K

Em Celsius é 23,33°C