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1. Typical temperatures in the interior of the Earth and Sun are about `4.0 times 10^3°C` and `15times10^6°C`, respectively.
(a) What are these temperatures in kelvins?
(b) What percent error is made in each case if a person forgets to change °C to K?
1. Typical temperatures in the interior of the Earth and Sun are about 4.0 times 10^3°C and 15times10^6°C, respectively.
(a) What are these temperatures in kelvins?
(b) What percent error is made in each case if a person forgets to change °C to K? `T(K) = T(C) +273.15`
(a)
`T(K)_(Earth) = 4.3times10^3\ K`
`T(K)_(Sun) = 15times10^6\ K`
(b)
error_(Earth) `=6.3%`
error_(Sun) `=2times10^(-3)%`
Given:
T(C)_(Earth) = 4.0times10^3\ °C`
T(C)_(Sun) = 15 times 10^6\ °C`
Equation:
`T(K) = T(C) +273.15`
(a)
`T(K)_(Earth) = 4.0times10^3\ °C + 273.15 = 4.3times10^3\ K`
`T(K)_(Sun) = 15 times 10^6\ °C\ °C + 273.15 = 15times10^6\ K`
(b)
errer `= (∆T)/(T(K))`
error_(Earth) `= 273/4300 = 0.063=6.3%`
error_(Sun) `= 273/(15times10^6\ °C)= 0.00002=2times10^(-3)%`
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