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NEET UG PHYSICS MCQ: KINETIC THEORY OF GASES

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Analyzing +4 | -1
Given below are two statements :

Statement I : The temperature of a gas is −73∘C-73^{\circ} \mathrm{C}. When the gas is heated to 527∘C527^{\circ} \mathrm{C}, the root mean square speed of the molecules is doubled.

Statement II : The product of pressure and volume of an ideal gas will be equal to translational kinetic energy of the molecules.

In the light of the above statements, choose the correct answer from the options given below:
View answer and explanation
Correct option: D
Statement I is true but statement II is false
Option D is correct because Statement I is true (RMS speed doubles when temperature quadruples in Kelvin), but Statement II is false (PV = 2/3 * Translational KE).

More Questions from KINETIC THEORY OF GASES

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The absolute zero is the temperature at which The internal energy (U)\left( U \right), pressure (p)\left( p \right) and volume (V)\left( V \right) of an ideal gas are related as U=3pV+4U = 3pV + 4. The gas is A monoatomic ideal gas is contained in a rigid container of volume VV with walls of total inner surface area AA, thickness xx and thermal conductivity KK. The gas is at an initial temperature T0T_0 and pressure P0P_0. If the pressure of the gas as a function of time if the temperature of the surrounding air is TsT_{\mathrm{s}} is T0T0[Ts−(Ts−T0)e−ZkA3xRt]\frac{T_0}{T_0}\left[T_s-\left(\mathrm{T}_s-T_0\right)_e \frac{-Z k A}{3 x R} t\right]. Find the value of zz. All temperatures are in absolute scale. Assertion: The change in air pressure effect the speed of sound.
Reason: The speed of sound in a gas is proportional to the square of pressure.
The rms speed of oxygen molecule in a vessel at particular temperature is (1+γ28)12v,\left(1+\frac{\gamma}{28}\right)^{\frac{1}{2}} v, where vv is the average speed of the molecule. The value of γ\gamma will be: (π=227)\left(\pi=\frac{22}{7}\right) For an ideal gas the instantaneous change in pressure pp with volume VV is given by the equation dpdV = −ap.\frac{{dp}}{{dV}}\, = \, - ap. If p = p0p\, = \,{p_0} at V = 0V\, = \,0 is the given boundary condition, then the maximum temperature one mole of gas can attain is (Here RR is the gas constant)
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