Question

For escape of oxygen molecules from the earth's surface, its temperature should be:

• A. $4.11\times {10}^{3}K$
• B. $2.09\times {10}^{4}K$
• C. $8.3\times {10}^{4}K$
• D. $3\times {10}^{5}K$

Answer 1

The correct option is C $8.3\times {10}^{4}K$

rms velocity of gas molecule is given by,

$V_{rms}=\sqrt{\frac{3kT}{M}}=11.2\times {10}^3$

$\therefore T=\frac{(11.2\times {10}^3{)}^2\times }{3k}$

$⟹\frac{(11.2\times {10}^3{)}^2(2.76\times {10}^{-26})}{3\times 1.38\times {10}^{-23}}$

$⟹8.3\times {10}^{4}k$