JEE Mains · Physics · STD 11 - 12 . kinetic theory of gases
A cylinder with fixed capacity of \(67.2\, lit\) contains helium gas at \(STP\). The amount of heat needed to raise the temperature of the gas by \(20\,^oC\) is ..... \(J\) [Given that \(R = 8.31\, J\, mol^{-1}\, K^{-1}\)]
- A \(350\)
- B \(700\)
- C \(748\)
- D \(374\)
Answer & Solution
Correct Answer
(C) \(748\)
Step-by-step Solution
Detailed explanation
\(\Delta \mathrm{Q}=\mathrm{nC}_{\mathrm{v}} \Delta \mathrm{T}=\mathrm{n} \frac{\mathrm{3}}{2} \mathrm{R} \Delta \mathrm{T}\) \(=\left(\frac{67.2}{22.4}\right)\left(\frac{3}{2} \times 8.31\right)(20)\) \( \approx 748 \mathrm{J}\)
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
- A gas balloon is going up with a constant velocity of \(10\) m/s. When this balloon reached a height of \(75\) m, a stone is dropped from it and balloon keeps moving up with the same velocity. The height of the balloon when the stone hits the ground is ________ m. (Take \(g=10\) m/s\(^2\))JEE Mains 2026 Medium
- A copper rod of cross-sectional area \(A\) carries a uniform current \(I\) through it. At temperature \(T\), if the volume charge density of the rod is \(\rho \), how long will the charges take to travel a distance \(d\) ?JEE Mains 2018 Medium
- Match List - \(I\) with List - \(II.\)
Choose the correct answer from the options given below :List - \(I\) List - \(II\) \((a)\) Source of microwave frequency \((i)\) Radioactive decay on nucleus \((b)\) Source of infrared frequency \((ii)\) Magnetron \((c)\) Source of Gamma Rays \((iii)\) Inner shell electrons \((d)\) Source of \(X-\)rays \((iv)\) Vibration of atoms and molecules \((v)\) \(LASER\) \((vi)\) \(RC\) circuit JEE Mains 2021 Medium - Given below are two statements : one is labelled as Assertion A and the other is labelled as Reason \(R\). Assertion A : Efficiency of a reversible heat engine will be highest at \(-273^{\circ} C\) temperature of cold reservoir. Reason \(R\) : The efficiency of Carnot's engine depends not only on temperature of cold reservoir but it depends on the temperature of hot reservoir too and is given as \(\eta=\left(1-\frac{ T _2}{ T _1}\right)\). In the light of the above statements, choose the correct answer from the options given belowJEE Mains 2023 Medium
- In a resonance tube experiment when the tube is filled with water up to height of \(17.0\, cm\) from bottom, it resonates with a given tuning fork. When the water level is raised the next resonance with the same tuning fork occurs at a height of \(24.5\, cm\). If the velocity of sound in air is \(330\, m / s ,\) the tuning fork frequency is\(......Hz\)JEE Mains 2020 Hard
- The light rays from an object have been reflected towards an observer from a standard flat mirror, the image observed by the observer are :- \(A.\) Real \(B.\) Erect \(C.\) Smaller in size then object \(D.\) Laterally inverted Choose the most appropriate answer from the options given below :JEE Mains 2023 Medium
More PYQs from JEE Mains
- The sum of all the real roots of the equation \(\left( e ^{2 x }-4\right)\left(6 e ^{2 x }-5 e ^{ x }+1\right)=0\) isJEE Mains 2022 Hard
- Let \(a_{1}, a_{2}, a_{3}, \ldots\) be a G.P. such that \(a_{1}<0\); \(a_{1}+a_{2}=4\) and \(a_{3}+a_{4}=16 .\) If \(\sum\limits_{i=1}^{9} a_{i}=4 \lambda,\) then \(\lambda\) is equal toJEE Mains 2020 Hard
- A convex lens, of focal length \(30\,cm,\) a concave lens of focal length \(120\,cm,\) and a plane mirror are arranged as shown. For an object kept at a distance of \(60\,cm\) from the convex lens, the final image, formed by the combination, is a real image, at a distance of
JEE Mains 2016 Hard - If \(\phi(x)=\frac{1}{\sqrt{x}} \frac{\pi}{4} \int \limits_0^x\left(4 \sqrt{2} \sin t-3 \phi^{\prime}(t)\right) d t, \quad x > 0\) then \(\phi^{\prime}\left(\frac{\pi}{4}\right)\) is equal to :JEE Mains 2023 Hard
-
A body of mass 1 kg is suspended with the help of two strings making angles as shown in figure. Magnitude of tensions \(T_1\) and \(T_2\), respectively, are (in N) :JEE Mains 2025 Easy - If \(y\, = mx + c\) is the normal at a point on the parabola \(y^2\, = 8x\) whose focal distance is \(8\, units\), then \(\left| c \right|\) is equal toJEE Mains 2017 Hard