The root mean square velocity of an ideal gas in a closed container of fixed volume is increased from 5 - 104 cm s-1 to 10 - 104 cm s-1 Which of the following statement correctly explains how the change is accomplished

The root mean square velocity of an ideal gas in a closed container of fixed volume is increased from $5 \times 10^{4} c m s^{- 1}$ to $10 \times 10^{4} c m s^{- 1}$ Which of the following statement correctly explains how the change is accomplished

Q. In a closed vessel, at a constant volume, URMS of a real gas is increased from

5 \times 10^{4}

cm/s to

10 \times 10^{4}

cm/s. Which statement is true:

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The root mean square velocity of an ideal gas in a closed container of fixed volume is increased from 5×104 cm s−1 to 10×104 cm s−1 Which of the following statement correctly explains how the change is accomplished

The correct option is D By heating the gas, the pressure is doubled U1U2=√T1T2 ∴T1T2=5×10410×104=14

The root mean square velocity of an ideal gas in a closed container of fixed volume is increased from $5 \times 10^{4} c m s^{- 1}$ to $10 \times 10^{4} c m s^{- 1}$ Which of the following statement correctly explains how the change is accomplished

The correct option is D
By heating the gas, the pressure is doubled

$\frac{U_{1}}{U_{2}} = \sqrt{\frac{T_{1}}{T_{2}}}$ $∴ \frac{T_{1}}{T_{2}} = \frac{5 \times 10^{4}}{10 \times 10^{4}} = \frac{1}{4}$