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

Transformar 80°C nas escalas Fahrenheit e Kelvin

Respostas

respondido por: FibonacciTH
7
A relação entre as unidades de temperaturas são:

\mathsf{\dfrac{T_c}{5}=\dfrac{T_f-32}{9}=\dfrac{T_k-273}{5}}

Substituindo na formula a temperatura em Tcº:

\mathsf{\dfrac{80^{\circ }}{5}=\dfrac{T_f-32}{9}=\dfrac{T_k-273}{5}}\\\\\mathsf{16^{\circ }=\dfrac{T_f-32}{9}=\dfrac{T_k-273}{5}}

Correlacionando com a temperatura em Fahrenheit:

\mathsf{\dfrac{T_f-32}{9}=16^{\circ}}\\\\\mathsf{T_f-32=16^{\circ }\cdot 9}\\\\\mathsf{T_f-32=144}\\\\\mathsf{T_f=144+32}\\\\\boxed{\mathbf{T_f=176^{\circ }}}

Correlacionando com a temperatura em Kelvin:

\mathsf{\dfrac{T_k-273}{5}=16^{\circ }}\\\\\mathsf{T_k-273=16^{\circ }\cdot 5}\\\\\mathsf{T_k-273=80}\\\\\mathsf{T_k=80+273}\\\\\boxed{\mathbf{T_k=353}}


\boxed{\boxed{\mathsf{Resposta:\:80^{\circ }C=176^{\circ }F=353\:K}}}
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