MHT CET · Physics · Thermal Properties of Matter
\(22 \mathrm{~g}\) of carbon dioxide at \(27^{\circ} \mathrm{C}\) is mixed in closed container with \(16 \mathrm{~g}\) of oxygen at \(37^{\circ} \mathrm{C}\). If both gases are considered as ideal gases, then the temperature of the mixture is nearly
- A \(22.2^{\circ} \mathrm{C}\)
- B \(33.5^{\circ} \mathrm{C}\)
- C \(31.5^{\circ} \mathrm{C}\)
- D \(28.5^{\circ} \mathrm{C}\)
Answer & Solution
Correct Answer
(C) \(31.5^{\circ} \mathrm{C}\)
Step-by-step Solution
Detailed explanation
Let \(T^{\circ} \mathrm{C}\) be the temperature of the mixture.
heat given by \(\mathrm{O}_2=\) heat absorbed by \(\mathrm{CO}_2\)
\(\begin{aligned} & \Rightarrow \mu_1 C_{V_1} \Delta T=\mu_2 C_{V_2} \Delta T \\ & \Rightarrow \frac{22}{44}(3 R)(T-27)=\frac{16}{32}\left(\frac{5}{2} R\right)(37-T) \\ & \Rightarrow 3(T-27)=\frac{5}{2}(37-T) \\ & \Rightarrow 6 T-162=185-5 T \\ & \Rightarrow 11 T=347 \\ & \Rightarrow T=31.5 \circ \mathrm{C}\end{aligned}\)
heat given by \(\mathrm{O}_2=\) heat absorbed by \(\mathrm{CO}_2\)
\(\begin{aligned} & \Rightarrow \mu_1 C_{V_1} \Delta T=\mu_2 C_{V_2} \Delta T \\ & \Rightarrow \frac{22}{44}(3 R)(T-27)=\frac{16}{32}\left(\frac{5}{2} R\right)(37-T) \\ & \Rightarrow 3(T-27)=\frac{5}{2}(37-T) \\ & \Rightarrow 6 T-162=185-5 T \\ & \Rightarrow 11 T=347 \\ & \Rightarrow T=31.5 \circ \mathrm{C}\end{aligned}\)
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 Physics
- In Young's double slit experiment the two slits are 'd' distance apart. Interference pattern is observed on a screen at a distance ' \(\mathrm{D}\) ' from the slits The first dark fringe is observed on the screen directly opposite to one of the slits. The wavelength of light isMHT CET 2022 Medium
- The capacitance of a parallel plate capacitor is \(2.5 \mu \mathrm{F}\). When it is half filled with a dielectric as shown in figure, its capacitance becomes \(5 \mu \mathrm{F}\). The dielectric constant of the dielectric is
MHT CET 2023 Medium - Two tuning forks when sounded together produce 4 beats per second. One of the forks is in unison with 23 cm length of sonometer wire and other with 24 cm length of the same wire. The frequencies of the two tuning forks areMHT CET 2025 Medium
- A constant force acts on two different masses independently and produces accelerations \(A_1\) and \(A_2\). When the same force acts on their combined mass, the acceleration produced isMHT CET 2025 Easy
- An electron moves in Bohr orbit. The magnetic field at the centre is proportional toMHT CET 2025 Medium
- The output Y when all the three inputs A, B, C are first low and then high will be
MHT CET 2022 Easy
More PYQs from MHT CET
- A beam of light of intensity \(I_0\) falls on a system of three polaroids which are arranged in succession such that the pass (transmission) axis is turned through \(60^{\circ}\) with respect to preceding one. The fraction of the incident light intensity that passes through the system is
\(\left(\cos 60^{\circ}=1 / 2\right)\)MHT CET 2025 Medium - The correct constraints for the given feasible region are ....
MHT CET 2025 Medium - Let \(\mathrm{f}: \mathbb{R}-\{2\} \rightarrow \mathbb{R}-\{1\}\) defined by \(\mathrm{f}(x)=\frac{x-3}{x-2}\) and \(\mathrm{g}: \mathbb{R} \rightarrow \mathbb{R}\) defined by \(\mathrm{g}(x)=3 \mathrm{x}-2\), then sum of all values of \(x\) for which \(\mathrm{f}^{-1}(x)+\mathrm{g}^{-1}(x)=\frac{19}{6}\) isMHT CET 2025 Medium
- ABCD is a quadrilateral with \(\overline{\mathrm{AB}}=\bar{a}, \overline{\mathrm{AD}}=\overline{\mathrm{b}}\) and \(\overline{\mathrm{AC}}=2 \bar{a}+3 \overline{\mathrm{~b}}\). If its area is \(\alpha\) times the area of the parallelogram with \(\mathrm{AB}, \mathrm{AD}\) as adjacent sides, then the value of \(\alpha\) isMHT CET 2025 Medium
- Name the disease in which a child shows symptoms like low BMR, thick tongue, prolonged neonatal jaundice, lethargy and constipation.MHT CET 2025 Medium
- Calculate vapour pressure of pure volatile liquid B at given temperature if mole faction of liquid \(B\) and vapour pressure of pure volatile liquid A are 0.4 and 400 mm Hg respectively.
\(\left[\mathrm{P}_{\text {toal }}=600 \mathrm{~mm} \mathrm{Hg}\right]\)MHT CET 2025 Medium