Question

The center of the Sun consists of gases whose average molecular weight is $2$. If the density of the gases is ${2.73\times 10}^{3}kg/m^3$ at a pressure of $1.12\times {10}^9$ atm, the temperature at the center of the sun is (assuming ideal behavior)

• A. $3\times {10}^7$
• B. $2\times {10}^7$
• C. $4\times {10}^7$
• D. $5\times {10}^7$

Answer 1

The correct option is B $2\times {10}^7$

Given- Center of the sun consists of gases whose average molecular weight is 2.

density of the gases is $2.73\times {10}^{3}Kg/m^3$

$\begin{array}{c}\text{Pressure}=1012\times {10}^{9}atm.\\ P_m=dRT\\ T=\frac{P_m}{dR}=\frac{1.12\times {10}^9}{2.73\times {10}^3\times 0.0821}\\ T=2\times {10}^7\end{array}$

Correct answer $-\underset{–}{B}$