NEET Physics Ideal Gas Equation MCQ Question
In the diagram above, if the pressure of an ideal gas is doubled while keeping the number of molecules constant, how does the root mean square speed (Vrms) of the molecules change?
Vrms is doubled.
Vrms remains the same.
Vrms increases by a factor of √2.
Vrms decreases by a factor of √2.
Correct Answer
Detailed Explanation
According to the NCERT context, the pressure of an ideal gas is related to its molecular speed by P = (1/3) n m v^2. Doubling the pressure while keeping the number of molecules and volume constant implies that v^2 must also double, leading to Vrms increasing by a factor of √2.
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