Question

On the moon, the surface temperature ranges from 353 K during the day to 1.02 x 10² K at night. Convert these temperatures to the Celsius and Fahrenheit scales. (a) 353 K in degrees Celsius; (b) 353 K in degrees Fahrenheit; (c) 1.02 x 10² K in degrees Celsius; (d) 1.02 x 10² K in degrees Fahrenheit.

1) 80 °C
2) 668.6 °F
3) -171.3 °C
4) -276.3 °F

Answer 1

The temperatures on the moon are converted from Kelvin to degrees Celsius and Fahrenheit using specific formulas. The day temperature of 353 K equals 80 °C (rounded) and 176 °F (rounded), while the night temperature of 102 K equals -171 °C and -276 °F (both rounded).

Step-by-step explanation:

To convert the temperatures given in Kelvin to degrees Celsius and degrees Fahrenheit, we use the conversion formulas. The formula to convert Kelvin to Celsius is °C = K - 273.15. To convert Kelvin to Fahrenheit, use the formula °F = (K - 273.15) * 9/5 + 32.

• (a) 353 K in degrees Celsius: °C = 353 K - 273.15 = 79.85 °C, which we can round to 80 °C.
• (b) 353 K in degrees Fahrenheit: °F = (353 K - 273.15) * 9/5 + 32 = 175.67 °F, rounding to 176 °F.
• (c) 1.02 x 10² K in degrees Celsius: °C = (1.02 x 10²) K - 273.15 = -171.15 °C, rounding to -171 °C.
• (d) 1.02 x 10² K in degrees Fahrenheit: °F = ((1.02 x 10²) K - 273.15) * 9/5 + 32 = -276.07 °F, rounding to -276 °F.

Therefore, the correct answers for the student's question are 80 °C, 176 °F, -171 °C, and -276 °F respectively.