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What is the temperature of the heated air at 150ºC in Fahrenheit (F) and Rankine (R)?

Option 1: 302ºF, 602R
Option 2: 302ºF, 452R
Option 3: 392ºF, 652R
Option 4: 392ºF, 502R

Answer :

Final answer:

The temperature of the heated air at 150ºC is approximately 302ºF in Fahrenheit and 762R in Rankine. None of the provided options are correct.

Explanation:

A substance has characteristic properties, such as density, a boiling point, and solubility, all of which are independent of the amount of the sample. A mixture of substances often can be separated into the original substances using one or more of the characteristic properties.

To solve this question, we first need to convert the given temperature from Celsius to Fahrenheit and Rankine. The formulas for these conversions are as follows:

Fahrenheit (F) = (Celsius * 9/5) + 32

Rankine (R) = (Celsius + 273.15) * 9/5

Using these formulas, we find that 150ºC in Fahrenheit is (150 * 9/5) + 32 = 302ºF.

In Rankine 150ºC is (150 + 273.15) * 9/5 = 761.67R; rounded up, we get 762R.

Therefore, none of the provided options are correct. The temperature of the heated air at 150ºC is approximately 302ºF and 762R.

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Final Answer:

Option 3: 392ºF, 652R

The temperature of the heated air at 150ºC is 392ºF in Fahrenheit and 652R in Rankine. Thus the correct option is 3.

Explanation:

Converting Celsius to Fahrenheit

To convert Celsius (°C) to Fahrenheit (°F), you can use the formula:

[tex]\[F = (C × 9/5) + 32\][/tex]

In this formula, you multiply the temperature in Celsius by 9/5 and then add 32 to the result. This accounts for the different scales and offsets between the Celsius and Fahrenheit temperature systems.

For the given temperature of 150ºC:

[tex]\[F = (150 × 9/5) + 32 = 392ºF\][/tex]

So, the temperature of 150ºC is equivalent to 392ºF in the Fahrenheit scale.

Converting Celsius to Rankine

To convert Celsius (°C) to Rankine (R), you can use the formula:

\[R = (C + 273.15) × 9/5\]

In this formula, you first add 273.15 to the temperature in Celsius to convert it to Kelvin (K), and then multiply by 9/5 to convert it to Rankine.

For the given temperature of 150ºC:

[tex]\[R = (150 + 273.15) × 9/5 = 652R\][/tex]

So, the temperature of 150ºC is equivalent to 652R in the Rankine scale.

Thus the correct option is 3: 392ºF, 652R

In conclusion, when you convert 150ºC to Fahrenheit, it becomes 392ºF, and when you convert it to Rankine, it becomes 652R. These conversions are essential for various applications, such as scientific research, engineering, and everyday temperature comparisons.

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