Question:
For a system undergoing a first-order phase transition at a temperature \(T_c\), which one of the following graphs best describes the variation of entropy (S) as a function of temperature (T)?
For a system undergoing a first-order phase transition at a temperature \(T_c\), which one of the following graphs best describes the variation of entropy (S) as a function of temperature (T)?
Show Hint
In a first-order phase transition, entropy and volume change discontinuously, but temperature and pressure remain constant.
Updated On: Dec 4, 2025
- (A)
- (B)
- (C)
- (D)
Hide Solution
Verified By Collegedunia
The Correct Option is D
Solution and Explanation
Step 1: Understanding the concept.
In a first-order phase transition, the entropy changes discontinuously at the transition temperature \(T_c\), corresponding to the latent heat of the transformation.
Step 2: Interpreting the graphs.
Among the given graphs, only Graph (D) shows a sudden jump in entropy at \(T_c\), indicating a discontinuous change.
Step 3: Conclusion.
Therefore, Graph (D) represents the correct variation of entropy during a first-order phase transition.
Was this answer helpful?
0
0
Top Questions on Thermodynamics
- A cylindrical conductor of length \(2 \, \text{m}\) and area of cross-section \(0.2 \, \text{mm}^2\) carries an electric current of \(1.6 \, \text{A}\) when its ends are connected to a \(2 \, \text{V}\) battery. Mobility of electrons in the conductor is \( \alpha \times 10^{-3} \, \text{m}^2\text{/V s}. \) The value of \( \alpha \) is ______________.
(Electron concentration \(= 5 \times 10^{28} \, \text{m}^{-3}\), electron charge \(= 1.6 \times 10^{-19} \, \text{C}\))- JEE Main - 2026
- Physics
- Thermodynamics
- An insulated cylinder of volume \(60\,\text{cm}^3\) is filled with a gas at \(27^\circ\text{C}\) and \(2\) atmospheric pressure. The gas is then compressed making the final volume \(20\,\text{cm}^3\) while allowing the temperature to rise to \(77^\circ\text{C}\). The final pressure is ____________ atmospheric pressure.
- JEE Main - 2026
- Physics
- Thermodynamics
- In a Young's double slit experiment set up, the two slits are kept 0.4 mm apart and screen is placed at 1 m from slits. If a thin transparent sheet of thickness 20 $\mu$m is introduced in front of one of the slits then center bright fringe shifts by 20 mm on the screen. The refractive index of transparent sheet is given by $\frac{\alpha{10}$, where $\alpha$ is _________}.
- JEE Main - 2026
- Physics
- Thermodynamics
- Which of the following solutions is the most acidic?
- LPUNEST - 2026
- Chemistry
- Thermodynamics
- Match List - I with List - II. List - I (Partial Derivatives) \(and\) List - II (Thermodynamic Quantity)
In the light of the above statements, choose the correct answer from the options given below:- JEE Main - 2025
- Chemistry
- Thermodynamics
View More Questions
Questions Asked in IIT JAM exam
- Consider a volume V enclosed by a closed surface S having unit surface normal \(\hat{n}\). For \(\mathbf{r} = x\hat{i} + y\hat{j} + z\hat{k}\), the value of the surface integral \(\frac{1}{9} \oint_{S} \mathbf{r} \cdot \hat{n} \,dS\) is
- IIT JAM PH - 2025
- Vector Calculus
- For a Zener diode as shown in the circuit diagram below, the Zener voltage \(V_Z\) is 3.7 V. For a load resistance (\(R_L\)) of 1 k\(\Omega\), a current \(I_1\) flows through the load. If \(R_L\) is decreased to 500 \(\Omega\), the current changes to \(I_2\). The ratio \(\frac{I_2}{I_1}\) is \rule{1cm{0.15mm}. (up to two decimal places)}
- IIT JAM PH - 2025
- Analog Electronics
- The shortest distance between an object and its real image formed by a thin convex lens of focal length 20 cm is _____ cm. (in integer)
- If \(\left(\frac{1-i}{1+i}\right)^{n/2} = -1\), where \(i = \sqrt{-1}\), one possible value of n is
- IIT JAM PH - 2025
- Complex numbers
- In a two-level atomic system, the excited state is 0.2 eV above the ground state. Considering the Maxwell-Boltzmann distribution, the temperature at which 2% of the atoms will be in the excited state is _____ K. (up to two decimal places)
(Boltzmann constant \(k_B = 8.62 \times 10^{-5}\) eV/K)
- IIT JAM PH - 2025
- Mechanics
View More Questions