Question:
An ideal gas in equilibrium at temperature T expands isothermally to twice its initial volume. If ΔS, ΔU and ΔF denote the changes in its entropy, internal energy and Helmholtz free energy respectively, then
An ideal gas in equilibrium at temperature T expands isothermally to twice its initial volume. If ΔS, ΔU and ΔF denote the changes in its entropy, internal energy and Helmholtz free energy respectively, then
Updated On: Oct 1, 2024
- ΔS < 0, ΔU > 0, ΔF < 0
- ΔS > 0, ΔU = 0, ΔF < 0
- ΔS < 0, ΔU = 0, ΔF > 0
- ΔS > 0, ΔU > 0, ΔF = 0
Hide Solution
Verified By Collegedunia
The Correct Option is B
Solution and Explanation
The correct answer is (B) : ΔS > 0, ΔU = 0, ΔF < 0
Was this answer helpful?
0
0
Top Questions on Thermodynamics
- What is the freezing point depression constant of a solvent, 50 g of which contain 1 g non-volatile solute (molar mass 256 g mol\(^{-1}\)) and the decrease in freezing point is 0.40 K?
- JEE Main - 2025
- Chemistry
- Thermodynamics
- The incorrect decreasing order of atomic radii is:
- JEE Main - 2025
- Chemistry
- Thermodynamics
- Ice at \( -5^\circ C \) is heated to become vapor with temperature of \( 110^\circ C \) at atmospheric pressure. The entropy change associated with this process can be obtained from:
- JEE Main - 2025
- Chemistry
- Thermodynamics
- An amount of ice of mass \( 10^{-3} \) kg and temperature \( -10^\circ C \) is transformed to vapor of temperature \( 110^\circ C \) by applying heat. The total amount of work required for this conversion is,
(Take, specific heat of ice = 2100 J kg\(^{-1}\) K\(^{-1}\),
specific heat of water = 4180 J kg\(^{-1}\) K\(^{-1}\),
specific heat of steam = 1920 J kg\(^{-1}\) K\(^{-1}\),
Latent heat of ice = \( 3.35 \times 10^5 \) J kg\(^{-1}\),
Latent heat of steam = \( 2.25 \times 10^6 \) J kg\(^{-1}\))- JEE Main - 2025
- Physics
- Thermodynamics
- Consider ‘n’ is the number of lone pair of electrons present in the equatorial position of the most stable structure of \( \text{ClF}_3 \). The ions from the following with ‘n’ number of unpaired electrons are:
A. \( \text{V}^{3+} \)
B. \( \text{Ti}^{3+} \)
C. \( \text{Cu}^{2+} \)
D. \( \text{Ni}^{2+} \)
E. \( \text{Ti}^{2+} \)
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 thick biconvex lens (thickness t=4cm and refractive index n=1.5) whose magnitudes of the radii of curvature R1 and R2, of the first and second surfaces are 30cm and 20cm, respectively. Surface 2 is silvered to act as a mirror. A point object is placed at point A on the axis (OA= 60cm) as shown in the figure. If its image is formed at point Q, the distance d between O and Q is_____ cm. (Rounded off to two decimal places)
- IIT JAM - 2024
- Wave optics
- The divergence of a 3-dimensional vector \(\frac{𝑟̂}{𝑟^3}\) (𝑟̂ is the unit radial vector) is:
- IIT JAM - 2024
- Mathematical Methods
- In the x-y plane, a vector is given by
\(\overrightarrow𝐹 (𝑥, 𝑦) = \frac{−𝑦𝑥̂ + 𝑥𝑦̂}{𝑥^ 2 + 𝑦^2} . \)
The magnitude of the flux of \(\overrightarrow∇ ×\overrightarrow 𝐹\) , through a circular loop of radius 2, centered at the origin, is:- IIT JAM - 2024
- Mathematical Methods
- A time dependent magnetic field inside a long solenoid of radius 0.05m is given by \(\overrightarrow𝐵\)(𝑡) = 𝐵0 sin 𝜔𝑡 \(\^z\). If 𝜔=100rad/s and 𝐵0= 0.98Weber/m2 , then the amplitude of the induced electric field at a distance of 0.07m from the axis of the solenoid is ______V/m. (Rounded off to two decimal places)
- IIT JAM - 2024
- Magnetism and Maxwell's Equations
- Two positive charges Q and 2Q are kept at points A and B, separated by a distance 2d, as shown in the figure. MCL is a semicircle of radius 2d centered at the origin O. If Q=2C and d=10cm, the value of the line integral \(∫^L_M{\overrightarrow{E}}.{\overrightarrow{dl}}\) (where \(\overrightarrow{E}\) represents electric field) along the path MCL will be____V.
- IIT JAM - 2024
- Mathematical Methods
View More Questions