MHT CET · Chemistry · Thermodynamics (C)
Calculate the entropy change for melting 1 g ice at \(0^{\circ} \mathrm{C}\) in \(\mathrm{Jg}^{-1} \mathrm{~K}^{-1}\) if heat of fusion of ice at \(0^{\circ} \mathrm{C}\) is \(80 \mathrm{~J} \mathrm{~K}^{-1}\).
- A 0.039
- B 0.293
- C 8
- D 27.3
Answer & Solution
Correct Answer
(B) 0.293
Step-by-step Solution
Detailed explanation
For the reaction,
\(\mathrm{H}_2 \mathrm{O}_{(\mathrm{s})} \rightleftharpoons \mathrm{H}_2 \mathrm{O}_{(l)}\)
The change in Gibbs energy at constant temperature and constant pressure is given by,
\(\Delta \mathrm{G}=\Delta \mathrm{H}-\mathrm{T} \Delta \mathrm{~S}\)
At equilibrium, \(\Delta \mathrm{G}=0\)
\(\therefore \Delta \mathrm{S}=\frac{\Delta \mathrm{H}_{\text {fusion }}}{\mathrm{T}}=\frac{80}{273}=0.293\left(\because 0^{\circ} \mathrm{C}=273 \mathrm{~K}\right)\)
\(\mathrm{H}_2 \mathrm{O}_{(\mathrm{s})} \rightleftharpoons \mathrm{H}_2 \mathrm{O}_{(l)}\)
The change in Gibbs energy at constant temperature and constant pressure is given by,
\(\Delta \mathrm{G}=\Delta \mathrm{H}-\mathrm{T} \Delta \mathrm{~S}\)
At equilibrium, \(\Delta \mathrm{G}=0\)
\(\therefore \Delta \mathrm{S}=\frac{\Delta \mathrm{H}_{\text {fusion }}}{\mathrm{T}}=\frac{80}{273}=0.293\left(\because 0^{\circ} \mathrm{C}=273 \mathrm{~K}\right)\)
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 Chemistry
- Which among the following drugs is not a tranquilizer?MHT CET 2020 Medium
- Identify the product formed when 2-Bromobutane is heated with aqueous solution of sodium hydroxide.MHT CET 2025 Medium
- The number of optical isomers possible for 3,4 -dichloropentan-2-ol isMHT CET 2020 Hard
- What is the molar mass of compound represented by following structure formula?
MHT CET 2025 Easy - Calculate the work done in following reaction at \(27^{\circ} \mathrm{C}\).
\(4 \mathrm{SO}_{2(\mathrm{g})}+2 \mathrm{O}_{2(\mathrm{g})} \rightarrow 4 \mathrm{SO}_{3(\mathrm{g})},(\mathrm{R}=8 \times\) \(314 \mathrm{~J} \mathrm{~K}^{-1}\) \(\mathrm{mol}^{-1})\)MHT CET 2025 Medium - Calculate the work done when 2 moles of an ideal gas expand from a volume of \(5 \mathrm{dm}^3\) to \(7 \times 10^{-3} \mathrm{~m}^3\) against a constant external pressure of \(2.02 \times 10^5 \mathrm{Nm}^{-2}\).MHT CET 2022 Easy
More PYQs from MHT CET
- The maximum velocity of the photoelectron emitted by the metal surface is 'v'. Charge and mass of the photoelectron is denoted by 'e' and 'm' respectively. The stopping potential in volt isMHT CET 2020 Easy
- A galvanometer of resistance is connected to a battery of emf with resistance in series. A full scale deflection of 20 divisions is obtained in the galvanometer. To reduce the deflection to 10 divisions, the resistance in series required isMHT CET 2016 Medium
- Select the correct pairs of germ layers and their derivatives from the following; and choose the correct option given below.
Germ layer Derivatives a. Mesoderm All types of muscles of body b. Ectoderm Iris Muscles and Ciliary Muscles c. Endoderm Lining of Middle ear. d. Ectoderm Adrenal cortex and Medulla. e. Mesoderm Sclera and Choroid layer of eye. MHT CET 2023 Easy - The following statement \((\mathrm{p} \rightarrow \mathrm{q}) \rightarrow((\sim \mathrm{p} \rightarrow \mathrm{q}) \rightarrow \mathrm{q})\) isMHT CET 2024 Medium
- The multiplicative inverse of \(A=\left[\begin{array}{cc}\cos \theta & -\sin \theta \\ \sin \theta & \cos \theta\end{array}\right]\)
isMHT CET 2011 Medium - An inductor of \(\left(\frac{100}{\pi}\right) \mathrm{mH}\), capacitor of capacitance \(\left(\frac{10^{-3}}{2 \pi}\right) \mathrm{F}\) and resistance of \(10 \Omega\) are connected in series with an AC voltage source of \(110 \mathrm{~V}, 50 \mathrm{~Hz}\) supply. The tangent of the phase angle ' \(\phi\) ' between voltage and current isMHT CET 2025 Medium