MHT CET · Chemistry · Thermodynamics (C)
10 g each of \(\mathrm{NH}_3, \mathrm{~N}_2, \mathrm{Cl}_2\) and \(\mathrm{H}_2 \mathrm{~S}\) are expanded isothermally and reversibly at same temperature. Identify gas that performs maximum work.
- A \(\mathrm{N}_2\)
- B \(\mathrm{Cl}_2\)
- C \(\mathrm{H}_2 \mathrm{~S}\)
- D \(\mathrm{NH}_3\)
Answer & Solution
Correct Answer
(D) \(\mathrm{NH}_3\)
Step-by-step Solution
Detailed explanation
\(W_{\max }=-2.303 n R T \log _{10} \frac{V_2}{V_1}\)
Hence, \(W_{\text {max }} \propto \mathrm{n}\)
(Given: \(\mathrm{R}, \mathrm{T}, \mathrm{V}_2, \mathrm{~V}_1=\) Constant)
\(\mathrm{W}_{\max } \propto \frac{1}{\mathrm{M} \cdot \mathrm{W}}\) (Given: equal mass)
Hence, lower the molecular mass, greater is the work done. Among the given, \(\mathrm{NH}_3\) has the lowest molecular mass which performs maximum work.
Hence, \(W_{\text {max }} \propto \mathrm{n}\)
(Given: \(\mathrm{R}, \mathrm{T}, \mathrm{V}_2, \mathrm{~V}_1=\) Constant)
\(\mathrm{W}_{\max } \propto \frac{1}{\mathrm{M} \cdot \mathrm{W}}\) (Given: equal mass)
Hence, lower the molecular mass, greater is the work done. Among the given, \(\mathrm{NH}_3\) has the lowest molecular mass which performs maximum work.
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 is a globular protein?MHT CET 2020 Easy
- Which of the following reagents is used in Mendius reduction reaction of alkyl cyanide?MHT CET 2020 Easy
- The average rate of reaction \(2 SO 2(g)+ O 2(g) \rightarrow 2 SO 3(g)\) is written asMHT CET 2016 Easy
- Which of following bonds has maximum bond length?MHT CET 2019 Easy
- The reaction given below \(2 \mathrm{NH}_{3(\mathrm{~g})} \xrightarrow{\mathrm{Pt}} \mathrm{N}_{2(\mathrm{~g})}+3 \mathrm{H}_{2(\mathrm{~g})}\) has rate of reaction \(2.5 \times 10^{-6} \mathrm{~mol} \mathrm{dm}^{-3} \mathrm{sec}^{-1}\) formation of \(\mathrm{H}_{2(\mathrm{~g})}\) ?MHT CET 2024 Easy
- Which among the following polymers is obtained from styrene and 1-3-Butadiene?MHT CET 2020 Easy
More PYQs from MHT CET
- If \(\cos ^{-1} x+\cos ^{-1} y+\cos ^{-1} z=\pi\) and \(x^2+y^2+z^2+k x y z=1\), then k isMHT CET 2024 Medium
- \(\int_{\frac{\pi}{5}}^{\frac{3 \pi}{10}}\left[\frac{\tan x}{\tan x+\cot x}\right] d x=\)MHT CET 2020 Easy
- Identify the medium required for formation of p-Hydroxyazobenzene from benzene diazonium chloride and phenol.MHT CET 2025 Easy
- A solution of nonvolatile solute is obtained by dissolving \(15 \mathrm{~g}\) in \(200 \mathrm{~mL}\) water has depression in freezing point \(0.75 \mathrm{~K}\). Calculate the molar mass of solute if cryoscopic constant of water is \(1.86 \mathrm{~K} \mathrm{~kg} \mathrm{~mol}^{-1}\).MHT CET 2023 Medium
- \(\lim _{n \rightarrow \infty}\left[\frac{1}{1-\mathrm{n}^4}+\frac{8}{1-\mathrm{n}^4}+\ldots \ldots \ldots \ldots . .+\frac{\mathrm{n}^3}{1-\mathrm{n}^4}\right]=\)MHT CET 2025 Medium
- The solution of the equation \(\tan ^{-1}(1+x)+\tan ^{-1}(1-x)=\frac{\pi}{2}\) isMHT CET 2023 Easy