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Kinetic Theory ...

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  • Question 1
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    An insulated box containing monatomic ideal gas of molar mass M is moving with a uniform speed v. The box suddenly stops and consequently the gas acquires a new temperature. Calculate the change in the temperature of the gas. Neglect heat absorbed by the box.

  • Question 2
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    A gas molecule of mass $$M$$ at the surface of the earth has kinetic energy equivalent to $${0}^{o}C$$. If it were to go up straight without colliding with any other molecules, how high it would rise? Assume that the height attained is much less than radius of the earth. ($${k}_{B}$$ is Boltzmann constant)

  • Question 3
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    An ideal gas having initial pressure P, volume V and temperature T is allowed to expand adiabatically until its volume becomes $$5.66$$V while its temperature falls to $$T/2$$. How many degrees of freedom do the gas molecules have?

  • Question 4
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    A gas performs Q work when it expand at constant pressure. During this process heat absorbed by the gas is 4Q. The average number of degrees of freedom for the gas is:

  • Question 5
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    Two monatomic ideal gases $$1$$ and $$2$$ of molecular masses $$m_1$$ and $$m_2$$ respectively are enclosed in separate containers kept at the same temperature. The ratio of the speed of sound in gas $$1$$ to that in gas $$2$$ is given by.

  • Question 6
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    An ideal gas is initially at $$P_1$$, $$V_1$$ is expanded to $$P_2, V_2$$ and then compressed adiabatically to the same volume $$V_1$$ and pressure $$P_3$$. If W is the net work done by the gas in the complete process which of the following is true.

  • Question 7
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    One kg of a diatomic gas is at a pressure of $$8\times {10}^{4}N/{m}^{2}$$. The density of gas is $$4kg/{m}^{2}$$. What is the energy of the gas due to its thermal motion?

  • Question 8
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    A gas thermometer measures the temperature from the variation of pressure of a sample of gas. If the pressure measured at the melting point of lead is $$2.20\ times$$ the pressure measured at the triple point of water find the melting point of lead.

  • Question 9
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    Ratio of $$C_P$$ and $$C_V$$ of gas '$$X$$' is 1.4. The number of atoms of the gas '$$X$$' present in $$11.2$$ litres of at NTP will be:

  • Question 10
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    The average thermal energy of a oxygen atom at room temperature $$(27^{o}C)$$

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