MHT CET · Chemistry · Thermodynamics (C)
Work done when 2 mol of an ideal gas is compressed from a volume of \(5 \mathrm{~m}^{3}\) to \(2 \cdot 5 \mathrm{~m}^{3}\) at \(300 \mathrm{~K}\), under a pressure of \(100 \mathrm{k}\) pa is
- A \(497.5 \mathrm{~kJ}\)
- B \(99.50 \mathrm{~kJ}\)
- C \(248.7 \mathrm{~kJ}\)
- D \(49 \cdot 75 \mathrm{~kJ}\)
Answer & Solution
Correct Answer
(A) \(497.5 \mathrm{~kJ}\)
Step-by-step Solution
Detailed explanation
\(=-499 \mathrm{KJ}\)
\(\mathrm{n}=2\) moles
\(\mathrm{V}_{1}=5 \mathrm{~m}^{3}\)
\(\mathrm{~V}_{2}=1 \mathrm{dm}^{3}=10^{-2} \mathrm{~m}^{3}\)
\(\mathrm{~T}_{1}=300 \mathrm{~K}\)
\(\mathrm{P}=100 \mathrm{KP}_{\mathrm{a}}=10^{5} \mathrm{P}_{\mathrm{a}}\)
work done \(=-\mathrm{P} \Delta \mathrm{V}\)
\(\quad=-10^{5}\left(\mathrm{~V}_{2}-\mathrm{V}_{1}\right)\)
\(\quad=-10^{5}\left(10^{-2}-5\right)\)
work done \(=-499 \mathrm{KJ}\)
\(\mathrm{n}=2\) moles
\(\mathrm{V}_{1}=5 \mathrm{~m}^{3}\)
\(\mathrm{~V}_{2}=1 \mathrm{dm}^{3}=10^{-2} \mathrm{~m}^{3}\)
\(\mathrm{~T}_{1}=300 \mathrm{~K}\)
\(\mathrm{P}=100 \mathrm{KP}_{\mathrm{a}}=10^{5} \mathrm{P}_{\mathrm{a}}\)
work done \(=-\mathrm{P} \Delta \mathrm{V}\)
\(\quad=-10^{5}\left(\mathrm{~V}_{2}-\mathrm{V}_{1}\right)\)
\(\quad=-10^{5}\left(10^{-2}-5\right)\)
work done \(=-499 \mathrm{KJ}\)
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 vitamins belongs to aromatic series?MHT CET 2020 Easy
- Which among the following hydrogen halides is thermally least stable?MHT CET 2022 Medium
- Rate law for the reaction,
\(\mathrm{NO}_{2(\mathrm{~g})}+\mathrm{CO}_{(\mathrm{g})} \rightarrow \mathrm{NO}_{(\mathrm{g})}+\mathrm{CO}_{2(\mathrm{~g})}\) is as \(\mathrm{R}=\mathrm{k}\left[\mathrm{NO}_2\right]^2\)
What is the order of reaction w.r.t. CO ?MHT CET 2025 Easy - Which among the following is haloalkyne?MHT CET 2024 Easy
- What will be the concentration of NaCl solution, if the molar conductivity and conductivity of NaCl solution is \(124 \cdot 3 \Omega^{-1} \mathrm{~cm}^{2} \mathrm{~mol}^{-1}\) and \(1 \cdot 243 \times 10^{-4} \Omega^{-1} \mathrm{~cm}^{2}\)
respectively?MHT CET 2020 Easy - Which of the following compounds is optically active?MHT CET 2009 Easy
More PYQs from MHT CET
- \(\int_0^1 \cos ^{-1} x d x=\)MHT CET 2023 Medium
- If \(x^{2} y^{2}=\sin ^{-1} \sqrt{x^{2}+y^{2}}+\cos ^{-1} \sqrt{x^{2}+y^{2}}\), then \(\frac{d y}{d x}=\)MHT CET 2020 Easy
- If \(x+y=k\) is normal to \(y^{2}=12 x\), then \(k\) isMHT CET 2011 Easy
- Which among the following enzymes hydrolyzes starch?MHT CET 2022 Medium
- Three charges Q, (-2q) and (-2q) are placed at the vertices of an isosceles right angled triangle as shown in figure. The net electrostatic potential energy is zero if Q is equal to
MHT CET 2025 Medium - If
\(f(x)= \begin{cases}a x^2+b x+1 & \text { if }|2 x-3| \geq 2 \ 3 x+2 & \text {; if } \end{cases}\) \(\frac{1}{2} < x < \frac{5}{2}\) is continuous on its domain, then \(a+b\) has the valueMHT CET 2022 Medium