Question

(II) Typical temperatures in the interior of the Earth and Sun are about $4000^{\circ} \mathrm{C}$ and $15 \times 10^{6}$ 'C, respectively. $(a)$ What are hese temperatures in kelvins? (b) What percent error is made in each case if a person forgets to change 'C to $\mathrm{K}$ ?

Name: Problem 30, Chapter 17: Physics for Scientists and Engineers with Modern Physics
Uploaded: 2019-06-20T07:15:34-08:00
Duration: 1 min 1 s
Channel: Sri Datta Vikas Buchemmavari
Description: (II) Typical temperatures in the interior of the Earth and Sun are about 4000^∘ C and 15 ×10^6 'C, respectively. (a) What are hese temperatures in kelvins? (b) What percent error is made in each case if a person forgets to change 'C to K ?

   (II) Typical temperatures in the interior of the Earth and Sun are about $4000^{\circ} \mathrm{C}$ and $15 \times 10^{6}$ 'C, respectively. $(a)$ What are hese temperatures in kelvins? (b) What percent error is made in each case if a person forgets to change 'C to $\mathrm{K}$ ?

Physics for Scientists and Engineers with Modern Physics

Douglas C. Giancoli 4th Edition

Chapter 17, Problem 30

Instant Answer

Solved by Expert Sri Datta Vikas Buchemmavari

06/20/2019

Step 1

The formula to convert Celsius to Kelvin is K = C + 273.15. For the Earth's interior temperature: \[ K = 4000^{\circ}C + 273.15 = 4273.15K \] For the Sun's interior temperature: \[ K = 15 \times 10^{6}^{\circ}C + 273.15 = 15000273.15K \] Show more…

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(II) Typical temperatures in the interior of the Earth and Sun are about $4000^{\circ} \mathrm{C}$ and $15 \times 10^{6}$ 'C, respectively. $(a)$ What are hese temperatures in kelvins? (b) What percent error is made in each case if a person forgets to change 'C to $\mathrm{K}$ ?

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Key Concepts

Temperature Conversion

This concept deals with converting a temperature value from the Celsius scale to the Kelvin scale using the formula K = °C + 273.15. Such conversions are essential in scientific contexts because Kelvin is the SI base unit for temperature and provides an absolute reference point, which is crucial for many physics equations and calculations.

Percent Error Calculation

Percent error quantifies the relative inaccuracy between an approximate (or experimental) value and an exact (or true) value. It is calculated by taking the absolute difference between these two values, dividing by the true value, and then multiplying by 100%. This concept is important to understand the impact of errors in measurement or conversion, particularly when ignoring necessary corrections like the offset between Celsius and Kelvin.

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