JEE Mains · Physics · STD 11 - 12 . kinetic theory of gases
The volume \(V\) of an enclosure contains a mixture of three gases, \(16\, g\) of oxygen, \(28\, g\) of nitrogen and \(44\, g\) of carbon dioxide at absolute temperature \(T\). Consider \(R\) as universal gas constant. The pressure of the mixture of gases is
- A \(\frac{88 RT }{ V }\)
- B \(\frac{3 RT }{ V }\)
- C \(\frac{5}{2} \frac{ RT }{ V }\)
- D \(\frac{4 RT }{ V }\)
Answer & Solution
Correct Answer
(C) \(\frac{5}{2} \frac{ RT }{ V }\)
Step-by-step Solution
Detailed explanation
\(PV =\left( n _{1}+ n _{2}+ n _{3}\right) RT\) \(P \times V =\left[\frac{16}{32}+\frac{28}{28}+\frac{44}{44}\right] RT\) \(PV =\left[\frac{1}{2}+1+1\right] RT\) \(P =\frac{5}{2} \frac{ RT }{ V }\)
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
- The refractive index of a transparent liquid filled in an equilateral hollow prism is \(\sqrt{2}\). The angle of minimum deviation for the liquid will beJEE Mains 2023 Medium
- A capillary tube is immersed vertically in water and the height of the water column is \(x\). When this arrangement is taken into a mine of depth \(d\), the height of the water column is \(y\). If \(R\) is the radius of earth, the ratio \(\frac{x}{y}\) isJEE Mains 2014 Medium
- Given is a thin convex lens of glass (refractive index \(\mu\) ) and each side having radius of curvature \(R\). One side is polished for complete reflection. At what distance from the lens, an object be placed on the optic axis so that the image gets formed on the object itself ?JEE Mains 2025 Easy
- A metal exposed to light of wavelength \(800\,nm\) and emits photoelectrons with a certain kinetic energy. The maximum kinetic energy of photo-electron doubles when light of wavelength \(500\, nm\) is used. The work function of the metal is \(...eV\) (Take \(hc =1230 \,eV - nm\) ).JEE Mains 2022 Medium
- Two materials having coefficients of thermal conductivity \(3K\) and \(K\) and thickness \(d\) and \(3d\), respectively, are joined to form a slab as shown in the figure. The temperatures of the outer surfaces are \(\theta_2\) and \(\theta_1\) respectively \(\left( {\theta _2} > {\theta _1} \right)\) . The temperature at the interface is
JEE Mains 2019 Medium - An ideal gas undergoes a process maintaining relation between pressure \((P)\) and volume \((V)\) as \(P = P_o\left(1 + \left(\dfrac{V_o}{V}\right)^2\right)^{-1}\), where \(P_o\) and \(V_o\) are constants. If two samples \(A\) and \(B\) (two moles each) with initial volumes \(V_o\) and \(3V_o\) respectively undergo above mentioned process and attain same pressure, then the difference at the temperatures of these samples, \(T_B - T_A\) is _____. (\(R = \) gas constant)JEE Mains 2026 Hard
More PYQs from JEE Mains
- If the line, \(\frac{{x - 3}}{1} = \frac{{y + 2}}{{ - 1}} = \frac{{z + \lambda }}{{ - 2}}\) lies in the plane, \(2x- 4y + 3z\, = 2\), then the shortest distance between this line and the line, \(\frac{{x - 1}}{{12}} = \frac{y}{9} = \frac{z}{4}\) isJEE Mains 2017 Hard
- The zener diode has a \(V _{ z }=30\, V\). The current passing through the diode for the following circuit is \(\ldots \ldots \ldots \,mA.\)
JEE Mains 2021 Hard - The magnetic field of an electromagnetic wave is given by \(\vec B = 1.6 \times {10^{ - 6}}\,\cos \,\left( {2 \times {{10}^7}z + 6 \times {{10}^{15}}t} \right)\left( {2\hat i + \hat j} \right)\frac{{Wb}}{{{m^2}}}\) The associated electric field will beJEE Mains 2019 Medium
- If the locus of the point, whose distances from the point \((2,1)\) and \((1,3)\) are in the ratio \(5: 4\), is \(a x^2+b y^2+c x y+d x+e y+170=0\), then the value of \(\mathrm{a}^2+2 \mathrm{~b}+3 \mathrm{c}+4 \mathrm{~d}+\mathrm{e}\) is equal to :JEE Mains 2024 Hard
- If we need a magnification of \(375\) from a compound microscope of tube length \(150\; \mathrm{mm}\) and an objective of focal length \(5\; \mathrm{mm}\), the focal length of the eye-piece, should be close to.....\(mm\)JEE Mains 2020 Medium
- The value of \(\lambda\) and \(\mu\) such that the system of equations \(x+y+z=6,3 x+5 y+5 z=26, x+2 y+\lambda z=\mu\) has no solution, are :JEE Mains 2021 Medium