Question

Determine as temperaturas :
A - 32°F em celsius
B- 100°F em Kelvin

Answer 1

Resolução da questão, veja:

Letra “A”:

$\mathsf{\dfrac{\°C}{5}}=\mathsf{\dfrac{\°F-32}{9}}~\to~\mathsf{32~\°F}}}}}}\\\\\\\\ \mathsf{\dfrac{\°C}{5}}=\mathsf{\dfrac{32-32}{9}}\\\\\\\\ \mathsf{\dfrac{\°C}{5}}=\mathsf{\dfrac{0}{9}}~\\\\\\\\ \mathsf{9\°C=0}}\\\\\\\\\\ \mathsf{\°C=\dfrac{0}{9}}}}\\\\\\\\\\ \Large\boxed{\boxed{\boxed{\boxed{\mathbf{\°C=0.}}}}}}}}}}}}}}}}}}}}}}}}}}}}}$

Ou seja, 32 °F equivale a 0 °C.

Letra “B”:

$\mathsf{\dfrac{\°F-32}{9}}=\mathsf{\dfrac{K-273,15}{5}}}}~\to~\mathsf{100~\°F}}\\\\\\\\ \mathsf{\dfrac{100-32}{9}}=\mathsf{\dfrac{K-273,15}{5}}}\\\\\\\\ \mathsf{\dfrac{68}{9}}=\mathsf{\dfrac{K-273,15}{5}}\\\\\\\\\ \mathsf{9K-2458,35=340}}}\\\\\\\\ \mathsf{9K=340+2458,35}}}\\\\\\\\ \mathsf{9K=2798,35}}}}\\\\\\\\\\ \mathsf{K=\dfrac{2798,35}{9}}}}\\\\\\\\\\\ \Large\boxed{\boxed{\boxed{\boxed{\boxed{\mathbf{K\approx310,928.}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}$

Ou seja, 100 °F equivale a aproximadamente 310,928 K.

Espero que te ajude. '-'