JEE Mains · Physics · STD 11 - 11. thermodynamics
Two moles of an ideal monoatomic gas occupies a volume \(V\) at \(27^o C\). The gas expands adiabatically to a volume \(2\ V\). Calculate \((a)\) the final temperature of the gas and \((b)\) change in its internal energy.
- A \((a)\) \(195 \) \(K\) \((b)\) \(-2.7\) \(kJ\)
- B \((a)\) \(189\) \(K\) \((b)\) \(-2.7\) \(kJ\)
- C \((a)\) \(195\) \(K\) \((b)\) \(2.7\) \(kJ\)
- D \((a)\) \(189\) \( K\) \((b)\) \(2.7\) \(kJ\)
Answer & Solution
Correct Answer
(B) \((a)\) \(189\) \(K\) \((b)\) \(-2.7\) \(kJ\)
Step-by-step Solution
Detailed explanation
In an adiabatic process \(T{V^{\gamma - 1}}=constant\) or \({T_1}{V_1}^{\gamma - 1} = {T_2}{V_2}^{\gamma - 1}\) For monoatomic gas \(\gamma = \frac{5}{3}\)…
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
- In a Young double slit experiment, the wavelength of incident light is \(6000\) Å, the separation between slits \(S_1\) and \(S_2\) is \(5\) cm and the distance between slits plane and screen is \(50\) cm, as shown in the figure below. If the resultant intensity at \(P\) is equal to the intensity due to individual slits, the path difference between interfering waves is __________ Å.
JEE Mains 2026 Hard - Nucleus A is having mass number \(220\) and its binding energy per nucleon is \(5.6 \,MeV\). It splits in two fragments '\(B\)' and '\(C\)' of mass numbers \(105\) and \(115\) The binding energy of nucleons in '\(B\)' and '\(C\) ' is \(6.4 \,MeV\) per nucleon. The energy \(Q\) released per fission will be............\(MeV\)JEE Mains 2022 Medium
- Two inclined planes are placed as shown in figure. A block is projected from the Point \(A\) of inclined plane \(A B\) along its surface with a velocity just sufficient to carry it to the top Point \(B\) at a height \(10 m\). After reaching the Point \(B\) the block slides down on inclined plane \(BC\). Time it takes to reach to the point \(C\) from point \(A\) is \(t (\sqrt{2}+1) s\). The value of \(t\) is........(use \(g =10 m / s ^{2}\) )
JEE Mains 2022 Hard - A parallel plate capacitor with width \(4\,cm\), length \(8\,cm\) and separation between the plates of \(4\,mm\) is connected to a battery of \(20\,V\). A dielectric slab of dielectric constant \(5\) having length \(1\,cm\), width \(4\,cm\) and thickness \(4\,mm\) is inserted between the plates of parallel plate capacitor. The electrostatic energy of this system will be......... \(\in_{0}\,J\). (Where \(\epsilon_{0}\) is the permittivity of free space)JEE Mains 2022 Medium
- Two balls of same mass and carrying equal charge are hung from a fixed support of length \(l\). At electrostatic equilibrium, assuming that angles made by each thread is small, the separation, \(x\) between the balls is proportional toJEE Mains 2013 Hard
- An inductor of \(0.5 \,mH\), a capacitor of \(200 \,\mu F\) and a resistor of \(2 \,\Omega\) are connected in series with a \(220 \,V\) ac source. If the current is in phase with the emf, the frequency of ac source will be ................ \(\times 10^{2} \,Hz\)JEE Mains 2022 Hard
More PYQs from JEE Mains
- The coefficient of \(x^{50}\) in the binomial expansion of \({\left( {1 + x} \right)^{1000}} + x{\left( {1 + x} \right)^{999}} + {x^2}{\left( {1 + x} \right)^{998}} + ..... + {x^{1000}}\) isJEE Mains 2014 Hard
- Let a parabola \(P\) be such that its vertex and focus lie on the positive \(x\) - axis at a distance \(2\) and \(4\) units from the origin, respectively. If tangents are drawn from \(O\,(0,0)\) to the parabola \(P\) which meet \(\mathrm{P}\) at \(\mathrm{S}\) and \(\mathrm{R}\), then the area (in \(sq.\, units\)) of \(\triangle \mathrm{SOR}\) is equal to:JEE Mains 2021 Hard
- Consider two charged metallic spheres \(S_{1}\) and \(\mathrm{S}_{2}\) of radii \(\mathrm{R}_{1}\) and \(\mathrm{R}_{2},\) respectively. The electric \(\left.\text { fields }\left.\mathrm{E}_{1} \text { (on } \mathrm{S}_{1}\right) \text { and } \mathrm{E}_{2} \text { (on } \mathrm{S}_{2}\right)\) on their surfaces are such that \(\mathrm{E}_{1} / \mathrm{E}_{2}=\mathrm{R}_{1} / \mathrm{R}_{2} .\) Then the ratio \(\left.\mathrm{V}_{1}\left(\mathrm{on}\; \mathrm{S}_{1}\right) / \mathrm{V}_{2} \text { (on } \mathrm{S}_{2}\right)\) of the electrostatic potentials on each sphere isJEE Mains 2020 Medium
- Let f: \(\mathrm{R} \rightarrow \mathrm{R}\) be defined as \(f(x) \rightarrow \frac{\lambda\left|x^{2}-5 x+6\right|}{\mu\left(5 x-x^{2}-6\right)}, x<2\) \(\quad\quad\quad\quad e^{\frac{\tan (x-2)}{x-[x]}}, \quad x>2\) \(\quad\quad\quad\quad \mu \quad\quad\quad\quad x=2\) Where \([x]\) is the greatest integer less than or equal to \(x\). If \(f\) is continuous at \(x=2\), then \(\lambda+\mu\) is equal to:JEE Mains 2021 Hard
- Let, \(\alpha, \beta\) be the distinct roots of the equation \(\mathrm{x}^2-\left(\mathrm{t}^2-5 \mathrm{t}+6\right) \mathrm{x}+1=0, \mathrm{t} \in \mathrm{R}\) and \(\mathrm{a}_{\mathrm{n}}=\alpha^{\mathrm{n}}+\beta^{\mathrm{n}}\). Then the minimum value of \(\frac{\mathrm{a}_{2023}+\mathrm{a}_{2025}}{\mathrm{a}_{2024}}\) isJEE Mains 2024 Hard
- Let \(\vec{a}=\alpha \hat{i}+\hat{j}+\beta \hat{k}\) and \(\vec{b}=3 \hat{i}-5 \hat{j}+4 \hat{k}\) be two vectors, such that \(\vec{a} \times \vec{b}=-\hat{i}+9 \hat{i}+12 k\). Then the projection of \(\vec{b}-2 \vec{a}\) on \(\vec{b}+\vec{a}\) is equal to.JEE Mains 2022 Hard