• Matéria: Física
  • Autor: sabrinoia
  • Perguntado 8 anos atrás

transforme -50°F para Celsius e Kelvin.

Respostas

respondido por: Baldério
4
Resolução da questão, vejamos:

Converter - 50 °F para K:

\mathsf{\dfrac{\°F-32}{9}}=\mathsf{\dfrac{K-273,15}{5}}}~\to~\mathsf{-50~\°F}}\\\\\\\\\\ \mathsf{\dfrac{-50-32}{9}}=\mathsf{\dfrac{K-273,15}{5}}}\\\\\\\\\\\ \mathsf{\dfrac{-82}{9}}=\mathsf{\dfrac{K-273,15}{5}}}\\\\\\\\\\ \mathsf{9K-2458,35=-410}}\\\\\\\\\ \mathsf{9K=-410+2458,35}}\\\\\\\\ \mathsf{9K=2048,35}}\\\\\\\\\ \mathsf{K=\dfrac{2048,35}{9}}\\\\\\\\\\ \large\boxed{\boxed{\boxed{\boxed{\mathsf{K\approx227,59.}}}}}}}}}}}}}}}}}}}}}}}

Ou seja, - 50 °F equivale a aproximadamente 227,59 K.

Agora vamos converter - 50 °F para °C:

\mathsf{\dfrac{\°C}{5}}=\mathsf{\dfrac{\°F-32}{9}}~\to~\mathsf{-50~\°F}}\\\\\\\\\\ \mathsf{\dfrac{\°C}{5}}=\mathsf{\dfrac{-50-32}{9}}}\\\\\\\\\ \mathsf{\dfrac{\°C}{5}}=\mathsf{\dfrac{-82}{9}}}\\\\\\\\\ \mathsf{9\°C=-410}}\\\\\\\\\ \mathsf{\°C=\dfrac{-410}{9}}}\\\\\\\\\\ \large\boxed{\boxed{\boxed{\boxed{\mathsf{\°C\approx-45,55.}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}

Ou seja, - 50 °F equivale a aproximadamente -45,55 °C.

Espero que te ajude. '-'
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