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Free CBSE - Class 11 Physics - Kinetic Theory worksheets

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1.
At what temperature is the root mean square speed of an atom in an argon gas cylinder equal to the rms speed of a helium gas atom at – 20 °C ? (atomic mass of $Ar$ = 39.9 u, of $He$ = 4.0 u).
2.
Estimate the mean free path and collision frequency of a nitrogen molecule in a cylinder containing nitrogen at 2.0 atm and temperature 17 0C. Take the radius of a nitrogen molecule to be roughly 1.0 Å. Compare the collision time with the time the molecule moves freely between two successive collisions (Molecular mass of $N_2$ = 28.0 u).
3.

Figure 13.8 shows plot of $frac{PV}{T}$ versus $P$ for $1.00 \times 10^{-3}$ kg of oxygen gas at two different temperatures. (c) What is the value of $frac{PV}{T}$ where the curves meet on the y-axis?

4.

Figure 13.8 shows plot of $frac{PV}{T}$ versus $P$ for $1.00 \times 10^{-3}$ kg of oxygen gas at two different temperatures. (d) If we obtained similar plots for $1.00 \times 10^{-3}$ kg of hydrogen, would we get the same value of $frac{PV}{T}$ at the point where the curves meet on the y-axis? If not, what mass of hydrogen yields the same value of $frac{PV}{T}$ (for low pressure high temperature region of the plot) ? (Molecular mass of $H_2$ = 2.02 u, of $O_2$ = 32.0 u, $R = 8.31$ J $mol^{-1} K^{-1}$.)

5.
An oxygen cylinder of volume 30 litres has an initial gauge pressure of 15 atm and a temperature of 27 °C. After some oxygen is withdrawn from the cylinder, the gauge pressure drops to 11 atm and its temperature drops to 17 °C. Estimate the mass of oxygen taken out of the cylinder ($R = 8.31$ J $mol^{-1} K^{-1}$, molecular mass of $O_2$ = 32 u).
6.
An air bubble of volume 1.0 $cm^3$ rises from the bottom of a lake 40 m deep at a temperature of 12 °C. To what volume does it grow when it reaches the surface, which is at a temperature of 35 °C ?
7.
Estimate the total number of air molecules (inclusive of oxygen, nitrogen, water vapour and other constituents) in a room of capacity 25.0 $m^3$ at a temperature of 27 °C and 1 atm pressure.
8.
Estimate the average thermal energy of a helium atom at (i) room temperature (27 °C),
9.
Estimate the average thermal energy of a helium atom at (ii) the temperature on the surface of the Sun (6000 K),
10.
Estimate the average thermal energy of a helium atom at (iii) the temperature of 10 million kelvin (the typical core temperature in the case of a star).
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