Dois termômetros idênticos, cuja substância termométrica é o álcool etílico, um deles graduado na escala Celsius e o outro graduado na escala Fahrenheit, estão sendo usados simultaneamente por um aluno para medir a temperatura de um mesmo sistema físico no laboratório de sua escola.
Nessas condições, pode-se afirmar corretamente que
- A) os dois termômetros nunca registrarão valores numéricos iguais.
- B) a unidade de medida do termômetro graduado na escala Celsius é 1,8 vezes maior que a da escala Fahrenheit.
- C) a altura da coluna líquida será igual nos dois termômetros, porém com valores numéricos sempre diferentes.
- D) a altura da coluna líquida será diferente nos dois termômetros.
Resposta:
Let's dive into the correct answer and explanation.
The correct answer is B) the unit of measurement of the thermometer graduated in the Celsius scale is 1.8 times larger than that of the Fahrenheit scale.
To understand why this is the case, let's first consider the two thermometers in question. Both thermometers are identical, with the same thermometric substance (ethyl alcohol), but one is graduated in the Celsius scale and the other in the Fahrenheit scale. Since they are measuring the same physical system in the laboratory, we can assume that they will register the same temperature values, but with different numerical values due to the different scales.
The key to this question lies in understanding the relationship between the Celsius and Fahrenheit scales. The Celsius scale is defined such that the freezing point of water is 0°C and the boiling point is 100°C, while the Fahrenheit scale is defined such that the freezing point of water is 32°F and the boiling point is 212°F. This means that the unit of measurement in the Celsius scale is larger than that of the Fahrenheit scale.
To be precise, the unit of measurement in the Celsius scale is 1.8 times larger than that of the Fahrenheit scale. This is because the difference between the freezing and boiling points of water in the Celsius scale is 100°C - 0°C = 100°C, while in the Fahrenheit scale it is 212°F - 32°F = 180°F. Since 100°C is equivalent to 180°F, we can set up a proportion to find the conversion factor:
$$frac{100°C}{180°F} = frac{1°C}{x°F}$$Solving for x, we find that x = 1.8°F/C. This means that 1°C is equivalent to 1.8°F, and therefore the unit of measurement in the Celsius scale is 1.8 times larger than that of the Fahrenheit scale.
Therefore, the correct answer is B) the unit of measurement of the thermometer graduated in the Celsius scale is 1.8 times larger than that of the Fahrenheit scale.
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