A escala de temperatura conhecida por Escala Fahrenreit é definida com dois pontos fixos, respectivamente, o ponto de fusão do gelo a 32 ºF e o ponto de ebulição da água a 212 ºF.
Considerando que os mesmos pontos fixos são adotados na escala Celsius, respectivamente a 0 ºC e 100 ºC, a quanto corresponde, na Escala Fahrenheit, a temperatura de 30 ºC?
- A) 22 ºF
- B) 30 ºF
- C) 78 ºF
- D) 84 ºF
- E) 86 ºF
Resposta:
Let's break down the Fahrenheit scale to find the correct answer. The Fahrenheit scale is defined by two fixed points: the freezing point of water at 32°F and the boiling point of water at 212°F. On the Celsius scale, these points correspond to 0°C and 100°C, respectively.
To find the temperature in Fahrenheit that corresponds to 30°C, we can set up a proportion. Let x be the temperature in Fahrenheit:
$$frac{x-32}{212-32} = frac{30-0}{100-0}$$
Simplifying the equation, we get:
$$x-32 = frac{30}{100}(212-32)$$
$$x-32 = 6 times 18$$
$$x-32 = 108$$
$$x = 108 + 32$$
$$x = 86°F$$
Therefore, the correct answer is E) 86°F.
This problem requires an understanding of the relationship between the Celsius and Fahrenheit scales. By setting up a proportion, we can find the temperature in Fahrenheit that corresponds to a given temperature in Celsius.
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