Question:
An ideal gas is taken from point $ A $ to the point $ B $ , as shown in the $ p-V $ diagram, keeping the temperature constant. The work done in the process is :
An ideal gas is taken from point $ A $ to the point $ B $ , as shown in the $ p-V $ diagram, keeping the temperature constant. The work done in the process is :
Updated On: Jun 20, 2022
- $ \left(p_{A}-p_{B}\right)\,\left(V_{B}-V_{A}\right) $
- $ \frac{1}{2}\left(p_{B}-p_{A}\right)\,\left(V_{B}+V_{A}\right) $
- $ \frac{1}{2}\left(p_{B}-p_{A}\right)\,\left(V_{B}-V_{A}\right) $
- $ \frac{1}{2}\left(p_{A}+p_{B}\right)\,\left(V_{B}+V_{A}\right) $
Hide Solution
Verified By Collegedunia
The Correct Option is D
Solution and Explanation
The $p-V$ diagram is shown below
Was this answer helpful?
0
0
Top Questions on work done thermodynamics
- When a force \(\overrightarrow F = xy²\hat i + x²y\hat j N\) acts on a particle and moves it along a straight line from the origin to the point (4, 0), the work done is,
- WBJEE JENPAS UG - 2023
- Physics
- work done thermodynamics
- Arrange the four graphs in descending order of total work done; where W1, W2, W3 and W4 are the work done corresponding to figure a, b, c and d respectively.
- JEE Main - 2022
- Physics
- work done thermodynamics
- A particle experiences a variable force F=(4x\(\hat i\)+3y2\(\hat j\)) in a horizontal x–y plane. Assume distance in meters and force is Newton.If the particle moves from point (1, 2) to point (2, 3) in the x–y plane; then Kinetic Energy changes by
- JEE Main - 2022
- Physics
- work done thermodynamics
- The combination of plots which does not represent isothermal expansion of an ideal gas is:
- JEE Main - 2019
- Physics
- work done thermodynamics
- The initial pressure and volume of a given mass of an ideal gas $\left(with\frac{C_{p}}{C_{v}} =\gamma\right),$ taken in a cylinder fitted with a piston, are P$ _0$ and V$_0$ respectively. At this stage the gas has the same temperature as that of the surrounding medium which is T$_0$. It is adiabatically compressed to a volume equal to $\frac{v_{0}}{2}.$ Subsequently the gas is allowed to come to thermal equilibrium with the surroundings. What is the heat released to the surroundings ?
- WBJEE - 2019
- Physics
- work done thermodynamics
View More Questions
Questions Asked in UPSEE exam
- A carnot engine takes 300 calories of heat at 500 K and rejects 150 calories of heat to the sink. The temperature of the sink is
- UPSEE - 2019
- Heat Transfer
- Which of the following is not permissible arrangement of electrons in an atom.
- UPSEE - 2019
- Quantum Mechanical Model of Atom
- If det $\begin{bmatrix}1&1&2\\ 2&4&9\\ t&t^{2}&1+t^{3}\end{bmatrix} = 0 $ , then the values of t are
- UPSEE - 2019
- Properties of Determinants
- The imaginary part of $\left( \frac{1}{2} + \frac{1}{2}i\right)^{10} $ is
- UPSEE - 2019
- Complex Numbers and Quadratic Equations
- Let S be the set of all right angled triangles with integer sides forming consecutive terms of an arithmetic progression. The number of triangles in S with perimeter less than 30 is
- UPSEE - 2019
- Arithmetic Progression
View More Questions
Concepts Used:
Work Done Thermodynamics
In thermodynamics, work is a way of energy transfer from a system to surroundings, under the influence of external factors such gravity, electromagnetic forces, pressure/volume etc.
Energy (ΔU) can cross the boundary of a system in two forms -> Work (W) and Heat (q). Both work and heat refer to processes by which energy is transferred to or from a substance.
ΔU=W+q
Work done by a system is defined as the quantity of energy exchanged between a system and its surroundings. It is governed by external factors such as an external force, pressure or volume or change in temperature etc.
Work (W) in mechanics is displacement (d) against a resisting force (F).
Work has units of energy (Joule, J)