MHT CET · Chemistry · Thermodynamics (C)
Calculate the final volume when 2 moles of an ideal gas expand from \(3 \mathrm{dm}^3\) at constant external pressure 1.6 bar and the work done in the process is \(800 \mathrm{~J}\).
- A \(2.66 \mathrm{dm}^3\)
- B \(4.8 \mathrm{dm}^3\)
- C \(5.0 \mathrm{dm}^3\)
- D \(8.0 \mathrm{dm}^3\)
Answer & Solution
Correct Answer
(D) \(8.0 \mathrm{dm}^3\)
Step-by-step Solution
Detailed explanation
\(\mathrm{W}=-\mathrm{P}_{\text {ext }} \Delta \mathrm{V}=-\mathrm{P}_{\text {ext }}\left(\mathrm{V}_2-\mathrm{V}_1\right) \)
\( \mathrm{V}_1=3 \mathrm{dm}^3 \)
\( \mathrm{~V}_2=? \)
\( \mathrm{P}_{\text {ext }}=1.6 \text { bar } \)
\( \mathrm{W}=-800 \mathrm{~J}=8 \mathrm{dm}^3 \text { bar }(\because 100 \mathrm{~J}=\) \(1 \mathrm{dm}^3 \text { bar}) \)
\( -8=-1.6\left(\mathrm{~V}_2-3\right) \)
\( \mathrm{V}_2-3=5 \)
\( \mathrm{~V}_2=8 \mathrm{dm}^3\)
\( \mathrm{V}_1=3 \mathrm{dm}^3 \)
\( \mathrm{~V}_2=? \)
\( \mathrm{P}_{\text {ext }}=1.6 \text { bar } \)
\( \mathrm{W}=-800 \mathrm{~J}=8 \mathrm{dm}^3 \text { bar }(\because 100 \mathrm{~J}=\) \(1 \mathrm{dm}^3 \text { bar}) \)
\( -8=-1.6\left(\mathrm{~V}_2-3\right) \)
\( \mathrm{V}_2-3=5 \)
\( \mathrm{~V}_2=8 \mathrm{dm}^3\)
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 of the following compounds is obtained by Rosenmund reduction of benzoyl chloride?MHT CET 2023 Easy
- Which among the following pairs of compounds is NOT isomorphous?MHT CET 2019 Medium
- Which from following process involves zero work done?MHT CET 2025 Easy
- Calculate half-life of a first order reaction in minute if the rate constant is \(1 \times 10^{-3} \mathrm{sec}^{-1}\).MHT CET 2022 Easy
- Which functional group from following is considered as principal functional group if polyfunctional compound is to be named by IUPAC system?MHT CET 2024 Medium
- Identify the number of moles of H atoms present in n moles of organic compound represented as
MHT CET 2024 Easy
More PYQs from MHT CET
- If \(A=\left[\begin{array}{lll}3 & 2 & 4 \\ 1 & 2 & 1 \\ 3 & 2 & 6\end{array}\right]\) and \(A_{i j}\) are the cofactors of \(a_{\tilde{y}}\),
then \(a_{11} A_{11}+a_{12} A_{12}+a_{13} A_{13}\) is equal toMHT CET 2009 Easy - The probability that the person who undergoes certain operation will survive is \(0 \cdot 2 .\) If 5 patients undergo similar operations, then the probability that exactly four will survive isMHT CET 2020 Medium
- How many Faraday of electricity is required to produce \(5 \mathrm{~g}\) of magnesium from magnesium chloride?
(Molar mass Mg \(=24 \mathrm{~g} \mathrm{~mol}^{-1}\) )MHT CET 2022 Easy - A stretched wire of length 260 cm is set into vibrations. It is divided into three segments whose frequencies are in the ratio . Their lengths must beMHT CET 2019 Medium
- If \(\triangle \mathrm{ABC}\) is right angled at \(\mathrm{A}\), where \(\mathrm{A} \equiv(4,2, x), \mathrm{B} \equiv(3,1,8)\) and \(\mathrm{C} \equiv(2,-1,2)\), then the value of \(x\) isMHT CET 2023 Easy
- The fringe width in an interference pattern is ' \(X\) '. The distance between the sixth dark fringe from one side of central bright band to the fourth bright fringe on other side isMHT CET 2024 Medium