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Kinetic Theory ...

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  • Question 1
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    Molecular motion shows itself as.

  • Question 2
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    The kinetic energy of $$1$$g molecule of a gas, at normal temperature and pressure, is?

  • Question 3
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    If for a gas $$\dfrac{R}{C_V}=0.67$$, this gas is made up of molecules which are.

  • Question 4
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    Pressure depends on distance as $$P = \dfrac{\alpha}{\beta} exp (- \dfrac{\alpha z}{k \theta})$$, where $$\alpha, \beta$$ are constants, z is distance, k is Boltzmann's constant, and $$\theta$$ is temperature. The dimensions of $$\beta$$ are

  • Question 5
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    A vessel contains a mixture consisting of m$$_{1}$$ - 7 g of nitrogen (M$$_{1}$$ = 28) and m$$_{2}$$ = 11 g of carbon dioxide (M$$_{2}$$ = 44) at temperature T - 300 K and pressure P$$_{0}$$ = 1 atm. The density of the mixture is

  • Question 6
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    A vessel of volume V contains a mixture of $$1$$mole of hydrogen and $$1$$ mole of oxygen(both considered as ideal). Let $$f_1(v)dv$$ denote the fraction of molecules with speed between v and $$(v+dv)$$ with $$f_2(v)dv$$, similarly for oxygen. then

  • Question 7
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    A gas mixture consists of $$2$$ moles of oxygen and $$4$$ moles of Argon at temperature T. Neglecting all vibrational modes, the total internal energy of the system is?

  • Question 8
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    A vessel contains a mixture consisting of $${m}_{1}=7kg$$ of nitrogen $$\left( { M }_{ 1 }=28 \right) $$ and $${m}_{2}=11g$$ of carbon dioixide $$\left( { M }_{ 2 }=44 \right) $$ at temeprature $$T=300K$$ and pressure $${ P }_{ 0 }=1\quad atm$$. The density of the mixture is:

  • Question 9
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    The average degree of freedom per molecule for a gas is 6. The gas performs 25 J of work when it expands at constant pressure. The heat absorbed by the gas is

  • Question 10
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    Match List I with List II and select the correct answer using the codes given the lists.

    List IList II
    P. Boltzmann Constant$$1$$. $$[ML^2T^{-1}]$$
    Q. Coefficient of viscosity$$2$$. $$[ML^{-1}T^{-1}]$$
    R. Plank Constant$$3$$. $$[MLT^{-3}K^{-1}]$$
    S. Thermal conducivity$$4$$. $$[ML^2T^{-2}K^{-1}]$$

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