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As relações entre as escalas Celsius, Fahrenheit e Kelvin são dadas por
F = 1,8C + 32 e K = C + 273
F: temperatura na escala Fahrenheit
C: temperatura na escala Celsius
K: temperatura na escala Kelvin
No nosso caso
1) 20 °C em °F
[tex]F = 1,8C + 32\\\\F = 1,8\cdot 20+32\\\\F = 36+32\\\\F = 68\:^oF[/tex]
2) 98,6 °F em C
[tex]F = 1,8C + 32\\\\98,6 = 1,8C+32\\\\98,6-32 = 1,8C\\\\66,6= 1,8C\\\\\dfrac{66,6}{1,8}=C\\\\C = 37\:^oC[/tex]
3) 30 °C em °F
[tex]F = 1,8C + 32\\\\F = 1,8\cdot 30+32\\\\F = 54+32\\\\F = 86\:^oF[/tex]
4) 68 °F em C
[tex]F = 1,8C + 32\\\\68 = 1,8C+32\\\\68-32 = 1,8C\\\\36= 1,8C\\\\\dfrac{36}{1,8}=C\\\\C = 20\:^oC[/tex]
5) C = -20 °C em K
[tex]K = C + 273\\\\K = -20+273\\\\K = 253\:K[/tex]
6) K = 293 K em C
[tex]K = C + 273\\\\293 = C+273\\\\293-273=C\\\\C=20\:^oC[/tex]
7) 100 °C em K
[tex]K = C + 273\\\\K = 100+273\\\\K = 373\:K[/tex]
8) 0 K em C
[tex]K = C + 273\\\\0 = C+273\\\\0-273=C\\\\C=-273\:^oC[/tex]
9) 100 °C em F
[tex]F = 1,8C + 32\\\\F = 1,8\cdot 100+32\\\\F = 180+32\\\\F = 212\:^oF[/tex]
10) 212 °F em C
[tex]F = 1,8C + 32\\\\212 = 1,8C+32\\\\212-32 = 1,8C\\\\180= 1,8C\\\\\dfrac{180}{1,8}=C\\\\C = 100\:^oC[/tex]
11) -10 °C em F
[tex]F = 1,8C + 32\\\\F = 1,8\cdot (-10)+32\\\\F = -18+32\\\\F = 14\:^oF[/tex]
12) -40 °F em C
[tex]F = 1,8C + 32\\\\-40 = 1,8C+32\\\\-40-32 = 1,8C\\\\-72= 1,8C\\\\\dfrac{-72}{1,8}=C\\\\C = -40\:^oC[/tex]
13) 20 °C em K
[tex]K = C + 273\\\\K = 20+273\\\\K = 293\:K[/tex]
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Lista de comentários
1) 68 °F
2) 37 °C
3) 86 °C
4) 20 °C
5) 253 K
6) 20 °C
7) 373 K
8) -273 °C
9) 212 °F
10) 100 °C
11) 14 °F
12) -40 °C
13) 293 K
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As relações entre as escalas Celsius, Fahrenheit e Kelvin são dadas por
F = 1,8C + 32 e K = C + 273
F: temperatura na escala Fahrenheit
C: temperatura na escala Celsius
K: temperatura na escala Kelvin
No nosso caso
1) 20 °C em °F
[tex]F = 1,8C + 32\\\\F = 1,8\cdot 20+32\\\\F = 36+32\\\\F = 68\:^oF[/tex]
2) 98,6 °F em C
[tex]F = 1,8C + 32\\\\98,6 = 1,8C+32\\\\98,6-32 = 1,8C\\\\66,6= 1,8C\\\\\dfrac{66,6}{1,8}=C\\\\C = 37\:^oC[/tex]
3) 30 °C em °F
[tex]F = 1,8C + 32\\\\F = 1,8\cdot 30+32\\\\F = 54+32\\\\F = 86\:^oF[/tex]
4) 68 °F em C
[tex]F = 1,8C + 32\\\\68 = 1,8C+32\\\\68-32 = 1,8C\\\\36= 1,8C\\\\\dfrac{36}{1,8}=C\\\\C = 20\:^oC[/tex]
5) C = -20 °C em K
[tex]K = C + 273\\\\K = -20+273\\\\K = 253\:K[/tex]
6) K = 293 K em C
[tex]K = C + 273\\\\293 = C+273\\\\293-273=C\\\\C=20\:^oC[/tex]
7) 100 °C em K
[tex]K = C + 273\\\\K = 100+273\\\\K = 373\:K[/tex]
8) 0 K em C
[tex]K = C + 273\\\\0 = C+273\\\\0-273=C\\\\C=-273\:^oC[/tex]
9) 100 °C em F
[tex]F = 1,8C + 32\\\\F = 1,8\cdot 100+32\\\\F = 180+32\\\\F = 212\:^oF[/tex]
10) 212 °F em C
[tex]F = 1,8C + 32\\\\212 = 1,8C+32\\\\212-32 = 1,8C\\\\180= 1,8C\\\\\dfrac{180}{1,8}=C\\\\C = 100\:^oC[/tex]
11) -10 °C em F
[tex]F = 1,8C + 32\\\\F = 1,8\cdot (-10)+32\\\\F = -18+32\\\\F = 14\:^oF[/tex]
12) -40 °F em C
[tex]F = 1,8C + 32\\\\-40 = 1,8C+32\\\\-40-32 = 1,8C\\\\-72= 1,8C\\\\\dfrac{-72}{1,8}=C\\\\C = -40\:^oC[/tex]
13) 20 °C em K
[tex]K = C + 273\\\\K = 20+273\\\\K = 293\:K[/tex]