Question

The root mean square speed 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 statement might correctly explain how the change accomplished :

• A. By heating the gas, the temperature is doubled
• B. By heating the gas, the pressure is made four times
• C. By heating the gas, the colume is tripled
• D. By heating the gas, the pressure is made three times

Answer 1

Answer: (B)

By heating the gas, the pressure is made four times

The root mean square speed of an ideal gas in a closed container of fixed volume is increased from $5\times {10}^{4}cm{s}^{-1}$ to $10\times {10}^{4}cm{s}^{-1}$. The change accomplished by heating the gas, the pressure is made four times.
RMS speed is directly proportional to the square root of pressure. When pressure is increased four times, the RMS speed is doubled.