Question:
The r.m.s. velocity of molecules of a gas of density $4 \,kg \,m^{-3}$ and pressure $1.2 \times10^{5} Nm^{-2}$ is
The r.m.s. velocity of molecules of a gas of density $4 \,kg \,m^{-3}$ and pressure $1.2 \times10^{5} Nm^{-2}$ is
Updated On: Feb 23, 2024
- $120 \,ms^{-1}$
- $600 \,ms^{-1}$
- $300 \,ms^{-1}$
- $900 \,ms^{-1}$
Hide Solution
Verified By Collegedunia
The Correct Option is C
Solution and Explanation
$v_{ rms } =\sqrt{\frac{3 p}{d}} $
$=\sqrt{\frac{3 \times 1.2 \times 10^{5}}{4}}=300\, ms ^{-1} $
Was this answer helpful?
0
0
Top Questions on States of matter
- Statement-1: Sublimation is a purification technique that is used to separate those solid substances which change from solid to vapor state without passing through liquid state.
Statement-2: If external atmospheric pressure is reduced, then boiling point of substance decreases.
Which of the following is correct?
- JEE Main - 2026
- Chemistry
- States of matter
- Given below are two statements: Statement I: Sublimation is a purification technique that is used to separate those solid substances which change from solid to vapour state without passing through liquid state. Statement II: If external atmospheric pressure is reduced, then boiling point of a substance is decreased. In the light of the above statements, choose the correct option.
- JEE Main - 2026
- Chemistry
- States of matter
- $10^{-6} \text{ M } \text{NaOH}$ is diluted 100 times. The $\text{pH}$ of the diluted base is:
- LPUNEST - 2026
- Chemistry
- States of matter
- $1.0 \times 10^{-4} \text{ M } \text{HCl}$ is diluted 10 times. The $\text{pH}$ of the final solution is:
- LPUNEST - 2026
- Chemistry
- States of matter
- What is the relation between \( \Delta G \) and \( E_{\text{cell}} \)?
- GUJCET - 2025
- Chemistry
- States of matter
View More Questions
Questions Asked in KCET exam
Match the following:
In the following, \( [x] \) denotes the greatest integer less than or equal to \( x \).
Choose the correct answer from the options given below:- KCET - 2025
- Differentiability
- If \[ y = \frac{\cos x}{1 + \sin x} \] then:
- KCET - 2025
- Differentiability
- A function \( f(x) \) is given by:
\[ f(x) = \begin{cases} \frac{1}{e^x - 1}, & \text{if } x \neq 0 \\ \frac{1}{e^x + 1}, & \text{if } x = 0 \end{cases} \] Then, which of the following is true?- KCET - 2025
- Limits
- The function f(x) is given by:
For x < 0:
f(x) = ex + axFor x ≥ 0:
f(x) = b(x - 1)2
The function is differentiable at x = 0. Then,- KCET - 2025
- Differentiability
- The function \( f(x) = \tan x - x \)
- KCET - 2025
- Derivatives
View More Questions
Concepts Used:
States of Matter
The matter is made up of very tiny particles and these particles are so small that we cannot see them with naked eyes.
There are three States of Matter:
The three states of matter are as follows:
Solid State:
- The solid-state is one of the fundamental states of matter.
- Solids differ from liquids and gases by the characteristic of rigidity.
- The molecules of solids are tightly packed because of strong intermolecular forces; they only oscillate about their mean positions.
Liquid State:
- The molecules in a liquid are closely packed due to weak intermolecular forces.
- These forces are weaker than solids but stronger than that of gases.
- There is much space in between the molecules of liquids which makes their flowing ability easy.
Gaseous State:
- In this state of matter, distances between the molecules are large (intermolecular distance is in the range of 10-7-10-5 cm.
- The intermolecular forces experienced between them are negligible.
- Thus, translatory, rotatory and vibratory motions are observed prominently in gases.