Question

One mole of oxygen at $273\, k$ and one mole of sulphur dioxide at $546 \,k$ are taken in two separate containers, then,

• A. kinetic energy of $O_2 >$ kinetic energy of $SO_2$
• B. kinetic energy of $O_2 <$ kinetic energy of $SO_2$
• C. kinetic energy of both are equal.
• D. None of these

Answer 1

Answer: (B)

kinetic energy of $O_2 <$ kinetic energy of $SO_2$

Answer 2

$K E=\frac{3}{2} R T$ $K E \propto T$ $\frac{K E_{O_{2}}}{K E_{S O_{2}}}=\frac{T_{O_{2}}}{T_{S O_{2}}}=\frac{273}{546}=\frac{1}{2}$ $K E_{S O_{2}}=2 K E_{O_{2}}$ $\therefore K E_{S O_{2}}>2 K E_{O_{2}}$