JEE Mains · Physics · STD 11 - 12 . kinetic theory of gases
The temperature of a gas having \(2.0 \times 10^{25}\) molecules per cubic meter at \(1.38 \mathrm{~atm}\) (Given, \(\mathrm{k}=\) \(\left.1.38 \times 10^{-23} \mathrm{JK}^{-1}\right)\) is _______.
- A \(500 \mathrm{~K}\)
- B \(200 \mathrm{~K}\)
- C \(100 \mathrm{~K}\)
- D \(300 \mathrm{~K}\)
Answer & Solution
Correct Answer
(A) \(500 \mathrm{~K}\)
Step-by-step Solution
Detailed explanation
\( \mathrm{PV}=\mathrm{nRT} \) \( \mathrm{PV}=\frac{\mathrm{N}}{\mathrm{N}_{\mathrm{A}}} \mathrm{RT}\) \(\mathrm{N}=\) Total no. of molecules \(\mathrm{P}=\frac{\mathrm{N}}{\mathrm{V}} \mathrm{kT}\)…
See the Complete Solution
Get step-by-step explanations for this and 2.5 Lakh+ more JEE, NEET & CET questions.
- Unlock all solutions
- Practice the full chapter
- Track accuracy across PYQs
4.8 rated on Google Play · 14,000+ reviews
More questions from Physics
- For a train engine moving with speed of \(20 \;ms ^{-1}\). the driver must apply brakes at a distance of \(500 \;m\) before the station for the train to come to rest at the station. If the brakes were applied at half of this distance, the train engine would cross the station with speed \(\sqrt{ x }\; ms ^{-1}\). The value of \(x\) is \(..............\) (Assuming same retardation is produced by brakes)JEE Mains 2023 Medium
- Two simple harmonic motions, as shown, are at right angles. They are combined to form Lissajous figures \(x\left( t \right) = A\,\sin \,\left( {at + \delta } \right)\) \(y\left( t \right) = B\,\sin \,\left( {bt} \right)\) Identify the correct match belowJEE Mains 2018 Hard
- The energy released when \(\dfrac{7}{17.13}\) kg of \(^{7}_{3}\text{Li}\) is converted into \(^{4}_{2}\text{He}\) by proton bombardment is \(\alpha \times 10^{32}\) eV. The value of \(\alpha\) is _______. (Nearest integer) (Mass of \(^{7}_{3}\text{Li} = 7.0183\) u, mass of \(^{4}_{2}\text{He} = 4.004\) u, mass of proton \(= 1.008\) u and \(1\) u \(= 931\) MeV/c\(^2\) and Avogadro number \(= 6.0 \times 10^{23}\))JEE Mains 2026 Hard
- A sphere of relative density \(\sigma\) and diameter \(D\) has concentric cavity of diameter \(d\). The ratio of \(\frac{D}{d}\), if it just floats on water in a tank is _______.JEE Mains 2024 Hard
- The electrostatic potential on the surface of uniformly charged spherical shell of radius \(\mathrm{R}=10 \mathrm{~cm}\) is 120 V. The potential at the centre of shell, at a distance \(\mathrm{r}=5 \mathrm{~cm}\) from centre, and at a distance \(\mathrm{r}=15 \mathrm{~cm}\) from the centre of the shell respectively, are :JEE Mains 2025 Easy
- A solenoid having area \(A\) and length ' \(l\) ' is filled with a material having relative permeability 2. The magnetic energy stored in the solenoid is :JEE Mains 2025 Easy
More PYQs from JEE Mains
- An engine is attached to a wagon through a shock absorber of length \(1.5\, {m}\). The system with a total mass of \(40,000\, {kg}\) is moving with a speed of \(72\, {kmh}^{-1}\) when the brakes are applied to bring it to rest. In the process of the system being brought to rest, the spring of the shock absorber gets compressed by \(1.0\, {m}\). If \(90\, \%\) of energy of the wagon is lost due to friction, the spring constant is \(....\, \times 10^{5}\, {N} / {m}\)JEE Mains 2021 Hard
- A 1 m long metal rod AB completes the circuit as shown in figure. The area of circuit is perpendicular to the magnetic field of 0.10 T . If the resistance of the total circuit is \(2 \Omega\) then the force needed to move the rod towards right with constant speed (v) of \(1.5 m / s\) is _________ N.
JEE Mains 2026 Hard - At \(300\,K\), the rms speed of oxygen molecules is \(\sqrt{\frac{\alpha+5}{\alpha}}\) times to that of its average speed in the gas. Then, the value of \(\alpha\) will be (used \(\pi=\frac{22}{7}\) )JEE Mains 2023 Medium
- A block of mass \(200\, g\) is kept stationary on a smooth inclined plane by applying a minimum horizontal force \(F =\sqrt{ x }N\) as shown in figure. The value of \(x =.....\)
JEE Mains 2022 Medium - Let \(\mathrm{f}: \mathrm{R} \rightarrow \mathrm{R}\) be a function defined \(f(x)=\frac{x}{\left(1+x^4\right)^{1 / 4}}\) and \(g(x)=f(f(f(f(x))))\) then \(18 \int_0^{\sqrt{2 \sqrt{5}}} x^2 g(x) d x\)JEE Mains 2024 Hard
- This question has Statement \(- 1\) and Statements \(- 2\). Of the four choices given after the Statements, choose the one that best describes the two Statements Statement \(-1\) : Out of radio waves and microwaves, the radio waves under go more diffraction Statement \(-2\) : Radio waves have greater frequency compared to microwavesJEE Mains 2013 Easy