Question:medium

In a mixture of gases, the average number of degrees of freedom per molecule is 6. If the rms speed of the molecule is \(c\), what is the velocity of sound in the gas?

Show Hint

The rms speed and the velocity of sound are related for ideal gases. Use the degrees of freedom to determine the relationship.

Updated On: Nov 26, 2025

\(c/\sqrt{3}\)
\(c/\sqrt{2}\)
\(2c/3\)
\(c\)

Top Questions on kinetic theory

The equation for the RMS velocity is given as \[ v_{\text{rms}} = \sqrt{\frac{3RT}{M_0}} \] where \( R \) is the gas constant, \( T \) is the temperature, and \( M_0 \) is the molecular mass. If the temperature is increased, find the new RMS velocity \( v_{\text{rms}} \) when the temperature is doubled.}
- MHT CET - 2025
- Physics
- kinetic theory
View Solution
If \( n \) is the number density and \( d \) is the diameter of the molecule, then the average distance covered by a molecule between two successive collisions (i.e., mean free path) is represented by:
- MHT CET - 2024
- Physics
- kinetic theory
View Solution
Want to practice more? Try solving extra ecology questions todayView All Questions

Questions Asked in BITSAT exam

A sequence is defined as follows: \( a_1 = 1, a_2 = 2 \), and \( a_n = a_{n-1} + a_{n-2} \) for \( n \geq 3 \). What is the 6th term of the sequence?

BITSAT - 2025
Sequence and Series

Choose the word closest in meaning to 'Candid'.

BITSAT - 2025
Vocabulary

What is the sum of the first 10 terms of the arithmetic progression with first term 3 and common difference 2?

BITSAT - 2025
Arithmetic Progression

In the reaction \( 2\text{SO}_2 + \text{O}_2 \rightarrow 2\text{SO}_3 \), if 64 g of \(\text{SO}_2\) reacts completely, how many grams of \(\text{SO}_3\) are produced? (Molar mass of \(\text{SO}_2 = 64 \, \text{g/mol}, \text{SO}_3 = 80 \, \text{g/mol}\))

BITSAT - 2025
Stoichiometry and Stoichiometric Calculations