Question

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

• A. By heating the gas, the temperature is doubled
• B. By heating the gas, the pressure is quadrupled (i.e. made four times)
• C. By heating the gas, the temperature is quadrupled
• D. By heating the gas, the pressure is doubled

Answer 1

The correct option is D

By heating the gas, the pressure is doubled

$\frac{U_1}{U_2}=\sqrt{\frac{T_1}{T_2}}$ $\therefore \frac{T_1}{T_2}=\frac{5\times {10}^4}{10\times {10}^4}=\frac{1}{4}$