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Chapter 1: Problem 66

The average daytime temperatures on the earth and Jupiter are $72^{\circ} \mathrm{F}\( and 313 \)\mathrm{K}$ , respectively. Calculate the difference in temperature, in \(^{\circ} \mathrm{C}\) , between these two planets.

Short Answer

Expert verified
The difference in average daytime temperatures between Earth and Jupiter is approximately 17.63°C.

Step by step solution

01

Convert Earth's temperature from Fahrenheit to Celsius

We use the formula to convert Fahrenheit to Celsius: C = (F-32) * (5/9). Given the Earth's average daytime temperature is 72°F, we can calculate the temperature in degrees Celsius as follows: Cₑ = (72-32) * (5/9) = 40 * (5/9) = 200/9 ≈ 22.22°C
02

Convert Jupiter's temperature from Kelvin to Celsius

The conversion formula from Kelvin to Celsius is C = K - 273.15. Given that Jupiter's average daytime temperature is 313 K, we can calculate the temperature in degrees Celsius: Cⱼ = 313 - 273.15 = 39.85°C
03

Calculate the difference in temperature between Earth and Jupiter

Now that we have both temperatures in degrees Celsius, we can calculate the difference between them: Temperature Difference = |Cⱼ - Cₑ| = |39.85 - 22.22| = 17.63°C In conclusion, the difference in average daytime temperatures between Earth and Jupiter is approximately 17.63°C.

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