Question:
If the rms speed of the molecules of a diatomic gas at a temperature of 322K is 2000 m/s, then the gas is
If the rms speed of the molecules of a diatomic gas at a temperature of 322K is 2000 m/s, then the gas is
Show Hint
For identifying gases based on rms speed, use the formula \( v_{rms} = \sqrt{\frac{3kT}{M}} \), where the lighter gases like hydrogen will have higher rms speeds.
Updated On: Jun 6, 2025
- hydrogen
- nitrogen
- oxygen
- chlorine
Hide Solution
Verified By Collegedunia
The Correct Option is A
Solution and Explanation
The rms speed \( v_{rms} \) is related to the temperature \( T \) and molar mass \( M \) of the gas by the formula \( v_{rms} = \sqrt{\frac{3kT}{M}} \). Substituting the given values, we find that hydrogen, with its low molar mass, matches the given rms speed.
Was this answer helpful?
0
0
Top Questions on The Kinetic Theory of Gases
- Consider a chamber at room temperature (27 \(^\circ\)C) filled with a gas having a molecular diameter of 0.35 nm. The pressure (in Pascal) to which the chamber needs to be evacuated so that the molecules have a mean free path of 1 km is \rule{1cm{0.15mm} \(\times 10^{-5}\) Pa. (up to two decimal places)
(Boltzmann constant \(k_B = 1.38 \times 10^{-23}\) J/K)}
- IIT JAM PHY - 2025
- Physics
- The Kinetic Theory of Gases
- G1 and G2 are two ideal gases at temperatures \(T_1\) and \(T_2\), respectively. The molecular weight of the constituents of G1 is half that of G2. If the average speeds of the molecules of both gases are equal, then assuming Maxwell-Boltzmann distributions for the molecular speeds, the ratio \(\frac{T_2}{T_1}\) is \rule{1cm{0.15mm}.}
- IIT JAM PHY - 2025
- Physics
- The Kinetic Theory of Gases
- If 2 moles of an ideal monoatomic gas at a temperature of 27 °C is mixed with 4 moles of another ideal monoatomic gas at a temperature of 327 °C, then the temperature of the mixture of the two gases is
- AP EAPCET - 2025
- Physics
- The Kinetic Theory of Gases
- A sound wave of frequency 500 Hz travels between two points X and Y separated by a distance of 600 m in a time of 2 s. The number of waves between the points X and Y are
- AP EAPCET - 2025
- Physics
- The Kinetic Theory of Gases
- If the degrees of freedom of a gas molecule is 6, then the total internal energy of the gas molecule at a temperature of \( 47 \ , ^\circ\text{C} \) (in eV) is (Boltzmann constant \( = 1.38 \times 10^{-23} \ , \text{J K}^{-1} \))
- AP EAPCET - 2025
- Physics
- The Kinetic Theory of Gases
View More Questions
Questions Asked in AP EAPCET exam
- \[ \left( \sqrt{2} + 1 + i \sqrt{2} - 1 \right)^8 = ? \]
- AP EAPCET - 2025
- Complex numbers
- For all $n \in \mathbb{N}$, if $n(n^2+3)$ is divisible by $k$, then the maximum value of $k$ is
- AP EAPCET - 2025
- Number Systems
- If \(\alpha\) is the angle made by the perpendicular drawn from origin to the line \(12x - 5y + 13 = 0\) with the positive X-axis in anti-clockwise direction, then \(\alpha =\)
- AP EAPCET - 2025
- Geometry
- If \[ A = \begin{bmatrix} x & 2 & 1 \\ -2 & y & 0 \\ 2 & 0 & -1 \end{bmatrix}, \] where \( x \) and \( y \) are non-zero real numbers, trace of \( A = 0 \), and determinant of \( A = -6 \), then the minor of the element 1 of \( A \) is:}
- AP EAPCET - 2025
- Complex numbers
- If $X$ is a binomial variate with mean $\frac{16}{5}$ and variance $\frac{48}{25}$, then $P(X \leq 2) =$
- AP EAPCET - 2025
- Probability
View More Questions