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Kinetic Theory ...

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  • Question 1
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    One box containing $$1$$ mole of $$He$$ at $$7/3 T_0$$ and other box containing $$1$$ mole of a polyatomic gas $$(\gamma=1.33)$$ at $$T_0$$ are placed together to attain thermal equilibrium. The final temperature becomes $$T_f$$. Then :

  • Question 2
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    Directions For Questions

    Two closed identical conducting containers are found in the laboratory of an old scientist. For the verification of the gas some experiments are performed on the two boxes and the results are noted 

    Experiment 1: When the two containers are weight 
    $$W_{A}$$ = 225g
    $$W_{B}$$ = 160g and mass of evacuated container in both the case
    $$W_{C}$$ = 100g.

    Experiment 2:
    When two containers are given same amount of heat same temperature rise is recorded. The pressure changes are found
    $$\triangle P_{A}$$ = 2.5 atm, $$\triangle P_{B}$$ = 1.5 atm

    Required data for unknown gas: Mono (molar gas)
    $$He=4g, Ne=20g, Ar=40g, Kr=84g, Xe=131g,  Rn=222g$$

    Dia (molar gas)
    $$H_{2} = 2g, F_{2}= 19g, N_{2} = 28g, O_{2}= 32, Cl_{2} = 71g$$

    ...view full instructions

    Identify the type of gas filled in container A and B respectively

  • Question 3
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    In a certain gas $$\displaystyle \frac{2}{5}$$th of the energy of molecules is associated with the rotation of molecules and the rest of it is associated with the motion of the centre of mass. How much energy must be supplied to one mole of this gas at constant volume to raise the temperature by $$1^{\circ}C$$?

  • Question 4
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    A monoatomic ideal gas undergoes a process in which the ratio of P to V at any instant is constant and equal to unity. The molar heat capacity of gas is:

  • Question 5
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    Directions For Questions

    $$200$$ g of a gas $$X$$ $$(C_P=0.125 \ cal/g$$ and $$C_v \ =0.075 \ cal/g$$) is placed in a closed container of $$5$$ litre volume at pressure $$P$$ and temperature $$27^oC$$. The gas is heated from $$27^oC$$ to $$327^oC$$. It shows positive deviation, i.e., Z > 1 at high pressure.

    ...view full instructions

    Which of the following statements is wrong about the gas?

  • Question 6
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    Figure shows the variation of the internal energy $$U$$ with density $$\rho$$ of one mole of an ideal monatomic gas for thermodynamic cycle ABCA. Here process AB is a part of rectangular hyperbola

  • Question 7
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    Keeping the number of moles, volume and pressure the same, which of the following are the same for all ideal gas?

  • Question 8
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    One mole of an ideal gas $$\left (C_{v,m}\, =\, \displaystyle \frac {5}{2} R \right )$$ at $$300$$ K and $$5$$ atm is expanded adiabatically to a final pressure of $$2$$ atm against a constant pressure of $$2$$ atm. Final temperature of the gas is:

  • Question 9
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    A sample of a fluorocarbon was allowed to expand reversibly and adiabatically to twice its volume. In the expansion the temperature dropped from 298.15 to 248.44 K. Assume the gas behaves perfectly. Estimate the value of $$C_{V_1 m}$$.

  • Question 10
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    The quantity $$\dfrac {2U}{fkT}$$ represents (where $$U=$$ internal energy of gas)

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