Question

The root mean square velocity of an ideal gas in a closed container of fixed volume is increased from $10 \times 10 ^ { 4 } \mathrm {~cm} \mathrm {~s} ^ { - 1 }$. 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

Answer: (B)

By heating the gas, the pressure is quadrupled (i.e. made four times)

Answer 2

$\therefore \frac { T _ { 1 } } { T _ { 2 } } = \left( \frac { 5 \times 10 ^ { 4 } } { 10 \times 10 ^ { 4 } } \right) ^ { 2 } = \frac { 1 } { 4 }$