WBJEE · Physics · Thermodynamics
One mole of a van der Waals' gas obeying the equation \(\left(p+\frac{a}{V^{2}}\right)(V-b)=R T\) undergoes the quasi-static cyclic process which is shown in the \(p \cdot V\) diagram. The net heat absorbed by the gas in this process is 
- A \(\frac{1}{2}\left(p_{1}-\rho_{2}\right)\left(V_{1}-V_{2}\right)\)
- B \(\frac{1}{2}\left(p_{1}+p_{2}\right)\left(V_{1}-V_{2}\right)\)
- C \(\frac{1}{2}\left(A_{1}+\frac{a}{V_{1}^{2}}-p_{2}-\frac{a}{V_{2}^{2}}\right)\left(V_{1}-V_{2}\right)\)
- D \(\frac{1}{2}\left(\rho_{1}+\frac{a}{V_{1}^{2}}+p_{2}+\frac{a}{V_{2}^{2}}\right)\left(V_{1}-V_{2}\right)\)
Answer & Solution
Correct Answer
(A) \(\frac{1}{2}\left(p_{1}-\rho_{2}\right)\left(V_{1}-V_{2}\right)\)
Step-by-step Solution
Detailed explanation
For the cyclic process Heat absorbed = Work done \[ \begin{array}{l} =\text { Area }=\frac{1}{2}(\Delta p) \times \Delta V \\ =\frac{1}{2}\left(p_{1}-p_{2}\right) \times\left(V_{1}-V_{2}\right) \\ =\frac{1}{2}\left(p_{1}-p_{2}\right)\left(V_{1}-V_{2}\right) \end{array} \]
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 body of mass \(6 \mathrm{~kg}\) is acted upon by a force which causes a displacement in it given by \(x=\frac{t^2}{4}\) metre where \(t\) is the time in second. The work done by the force in 2 seconds isWBJEE 2011 Hard
- \[
\text { In the figure below, the capacitance of each capacitor is } 3 \mu \mathrm{F} \text {. The effective capacitance between } \mathrm{A} \text { and } \mathrm{B} \text { is : }
\]
WBJEE 2010 Medium - The equation of stationary wave along a stretched string is given by \(y=5 \sin \frac{\pi x}{3} \cos 40 \pi t\). Here x and y are in cm and t in second. The separation between two adjacent nodes isWBJEE 2025 Easy
- An object is located \(4 \mathrm{m}\) from the first of two thin converging lenses of focal lengths \(2 \mathrm{m}\) and \(1 \mathrm{m},\) respectively. The lenses are separated by \(3 \mathrm{m}\). The final image formed by the second lens is located from the source at a distance of
WBJEE 2015 Hard - The elastic potential energy of a strained body isWBJEE 2024 Easy
- The decimal number equivalent to a binary number 1011001 isWBJEE 2012 Hard
More PYQs from WBJEE
- \(\mathrm{A}\) student appears for tests 1 , 11 and \(\mathrm{III}\). The student is successful if he passes in tests I,II or I, III. The probabilities of the student passing in tests I. II and III are respectively,
p,q and \(1 / 2 .\) If the probability of the student to be successful is \(1 / 2 .\) ThenWBJEE 2018 Easy - Which of the following statements is incorrect?WBJEE 2023 Medium
- The energy required to break one mole of hydrogen-hydrogen bonds in \(\mathrm{H}_{2}\) is \(436 \mathrm{kJ}\). What is the longest wavelength of light required to break a single hydrogenhydrogen bond?WBJEE 2016 Medium
- If \(\mathrm{a}=2 \sqrt{2}, \mathrm{~b}=6, \mathrm{~A}=45^{\circ}\), thenWBJEE 2009 Medium
- If \(\cos (\theta+\phi)=\frac{3}{5}\) and \(\sin (\theta-\phi)=\frac{5}{13}, 0 \lt \theta, \phi \lt \frac{\pi}{4}\), then \(\cot (2 \theta)\) has the valueWBJEE 2025 Medium
- One mole of a monoatomic ideal gas undergoes a quasistatic process, which is depicted by a straight line joining points \(\left(V_{0}, T_{0}\right)\) and \(\left(2 V_{0}, 3 T_{0}\right)\) in a \({V} \cdot T\) diagram. What is the value of the heat capacity of the gas at the point \(\left(V_{0}, T_{0}\right) ?\)WBJEE 2018 Medium