The temperature of the surface of the Sun is about 6000 K. Express this on the Fahrenheit scale. (b) Express normal human body temperature, 98.6°F on the Celsius scale. (C) In the continental United States, the lowest officially recorded temperature is – 70°F at Rogers Pass, Montana. Express this on the Celsius scale. (d) Express the normal boiling point of oxygen, - 183°C, on the Fahrenheit scale. (e) At what Celsius temperature would you find a room to be uncomfortably warm?

To tackle the temperature conversions you've asked about, we can use the formulas that relate Celsius, Fahrenheit, and Kelvin. Each conversion has its own formula, and I'll walk you through each step to ensure clarity.

Converting the Sun's Surface Temperature

The surface temperature of the Sun is approximately 6000 K. To convert this to Fahrenheit, we first need to convert Kelvin to Celsius using the formula:

• Celsius (°C) = Kelvin (K) - 273.15

So, for the Sun:

• Celsius = 6000 K - 273.15 = 5726.85 °C

Next, we convert Celsius to Fahrenheit using the formula:

• Fahrenheit (°F) = (Celsius × 9/5) + 32

Now, substituting the Celsius value:

• Fahrenheit = (5726.85 × 9/5) + 32 = 10340.33 °F

Thus, the surface temperature of the Sun is approximately 10340.33 °F.

Human Body Temperature in Celsius

Next, let's convert the normal human body temperature of 98.6°F to Celsius. We use the reverse of the previous Fahrenheit to Celsius formula:

• Celsius (°C) = (Fahrenheit (°F) - 32) × 5/9

Applying this to 98.6°F:

• Celsius = (98.6 - 32) × 5/9 = 37 °C

Therefore, normal human body temperature is 37 °C.

Lowest Recorded Temperature in Celsius

Now, let's convert the lowest officially recorded temperature of -70°F at Rogers Pass, Montana, to Celsius:

• Celsius = (-70 - 32) × 5/9

Calculating this gives:

• Celsius = (-102) × 5/9 ≈ -56.67 °C

So, the lowest recorded temperature is approximately -56.67 °C.

Boiling Point of Oxygen in Fahrenheit

Next, we need to convert the normal boiling point of oxygen, which is -183°C, to Fahrenheit:

• Fahrenheit = (-183 × 9/5) + 32

Calculating this yields:

• Fahrenheit = (-329.4) + 32 = -297.4 °F

Thus, the boiling point of oxygen is approximately -297.4 °F.

Comfortable Room Temperature in Celsius

Finally, regarding what temperature might be considered uncomfortably warm in a room, it typically ranges around 75°F to 80°F. Let's convert 80°F to Celsius:

• Celsius = (80 - 32) × 5/9

Calculating this gives:

• Celsius = (48) × 5/9 ≈ 26.67 °C

Therefore, a room temperature of about 26.67 °C could be considered uncomfortably warm for many people.

In summary, we have converted various temperatures across different scales, demonstrating the relationships between them through clear calculations. If you have any further questions or need clarification on any of these conversions, feel free to ask!