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Calculate the temperature of the Sun if ...

Calculate the temperature of the Sun if density Is `1.4 g cm^(-3)`, pressure is ` 1.4xx10^(9)` atmosphere and average molecular weight of gases in the Sun in ` 2g//"mole"`. `[GivenR=8.4 J mol^(-1)K^(-1)`]`

Text Solution

Verified by Experts

`PV = muRT implies T=(PV)/(muR) ` …(i) But ` (mu M)/(M_(w))` and `rho = M/V therefore mu= (rhoV)/(m_(w))`
From equation (i) ` T=(PVM)/(rhoVR) = (PM_(w))/(rhoR) = (1.4xx10^(9)xx1.01xx10^(5)xx 2xx 10^(-3))/(1.4xx 1000xx8.4) = 2.4 xx 10^(7) K`
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