TS EAMCET · Physics · Thermodynamics
Five moles of an ideal gas has pressure \(p_0\) volume \(V_0\) and temperature \(T_0\). The gas is expanded to volume \(3 V_0\) along a path, so that the pressure \(p\) is changed as function of volume \(V\) as \(p=p_0\left(V / V_0\right)\). The pressure is then reduced to \(p_0\) maintaining the volume constant. The gas undergoes an isobaric compression till the volume and temperature become \(V_0\) and \(T_0\), respectively. The total work done by the gas during the entire process is
- A \(p_0 V_0 / 3\)
- B \(3 p_0 V_0\)
- C \(5 p_0 V_0 / 3\)
- D \(2 p_0 V_0\)
Answer & Solution
Correct Answer
(D) \(2 p_0 V_0\)
Step-by-step Solution
Detailed explanation
The given situation is shown in the following diagram Work done in expansion (process I) \(=\int_{V_i}^{V_f} p d V=\int_{V_0}^{3 V_0} \frac{p_0 V}{V_0} \cdot d V\) \(=\frac{p_0}{V_0}\left[\frac{V^2}{2}\right]_{V_0}^{3 V_0}=\frac{p_0}{2 V_0}\left(9 V_0^2-V_0^2\right)=4 p_0 V_0\)…
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 steel wire of length 3 m and a copper wire of length 2.2 m are connected end to end. When the combination is stretched by a force, the net elongation is 1.05 mm . If the area of cross-section of each wire is \(6 \mathrm{~mm}^2\), then the load applied is (Young's module of steel and copper are respectively \(2 \times 10^{11} \mathrm{Nm}^{-2}\) and \(1.1 \times 10^{11} \mathrm{Nm}^{-2}\) )TS EAMCET 2024 Medium
- Two bodies are projected from the same point with the same initial velocity ' \(u\) ' making angles ' \(\theta\) ' and \(\left(90^{\circ}-\theta\right)\) with the horizontal in opposite directions. The horizontal distance between their positions when the bodies are at their maximum heights isTS EAMCET 2025 Medium
- A block of material with density \(3 \mathrm{~g} / \mathrm{cc}\) is placed on a fluid of density \(7 \mathrm{~g} / \mathrm{cc}\). The fraction of volume of the piece of material outside the fluid isTS EAMCET 2021 Easy
- Certain amount of heat supplied to an ideal gas under isothermal condition will result inTS EAMCET 2020 Easy
- Two cylinders \(A\) and \(B\) fitted with pistons, contain equal number of moles of an ideal monoatomic gas at \(400 \mathrm{~K}\). The piston of \(A\) is free to move while that of \(B\) is held fixed. Same amount of heat energy is given to the gas in each cylinder. If the rise in temperature of the gas in \(A\) is \(42 \mathrm{~K}\), the rise in temperature of the gas in \(B\) is \((\gamma=5 / 3)\)TS EAMCET 2007 Medium
- If \(V_0\) is the volume of a standard unit cell of germanium crystal containing \(N_0\) atoms, then the expression for the mass \(m\) of a volume \(V\) in terms of \(V_0, N_0, M_{\text {mol }}\) and \(N_A\) is [here, \(M\) is the molar mass of germanium and \(N_A\) is the Avogadro's constant]TS EAMCET 2018 Easy
More PYQs from TS EAMCET
- If and represent the permittivity and permeability of free space respectively, then the dimension of the product is,TS EAMCET 2021 Easy
- From the pole of the earth, a body of mass \(m\) is imparted a velocity \(v_0\) directed vertically up. If \(M\) is the mass of the earth, \(R\) its radius and \(g\) is the free-fall acceleration on its surface, then the height \(h\) to which the body will ascent is (neglect air resistance)TS EAMCET 2018 Medium
- A sheet of steel at \(20^{\circ} \mathrm{C}\) has size as shown in figure below. If the co-efficient of linear expansion for steel is \(10^{-5 \circ} \mathrm{C}^{-1}\), then what is the change in the area at \(60^{\circ} \mathrm{C}\) ?
TS EAMCET 2020 Easy - If relative permeability of iron is 5500 , then its susceptibility isTS EAMCET 2020 Easy
- Match Column A (layers in the ionosphere for skywave propagation) with Column B (their height range)
\(\begin{array}{llll}\mathrm{A} & \mathrm{B} & \mathrm{C} & \mathrm{D}\end{array}\)TS EAMCET 2012 Easy - Consider a water droplet of diameter \(0.2 \mathrm{~mm}\) where the outside pressure is \(1.5 \mathrm{~N} / \mathrm{cm}^2\) at \(25^{\circ} \mathrm{C}\). The pressure inside the droplet, when the surface tension at \(25^{\circ} \mathrm{C}\) is \(0.08 \mathrm{~N} / \mathrm{m}\) isTS EAMCET 2019 Hard