# Assume the centre of sun to consists of gases whose average molecular mass is $2.0\;u$. The density and the pressure of the gas are respectively, $1.3g\;cm^{-3} and\; 1.12\times10^9$ atm. What is the approximate temperature of the Sun?

$(a)\;2.076\times10^{10}K\qquad(b)\;2.076\times10^9K\qquad(c)\;2.076\times10^8K\qquad(d)\;2.076\times10^7K$

Since $P = \large\frac{dRT}{m}$
Placing the values provided in the question, we get,
$T = \large\frac{Pm}{dR}$
$=\large\frac{1.12\times10^9\times2}{1.3\times1000\times0.0821}$
$= 2.076\times10^7K$
edited Mar 18, 2014