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Kinetic Theory ...

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    It is possible to make crystalline solids that are only one layer of atoms thick. Such two dimensional crystals can be created by depositing atoms on a very flat surface. The atoms in such a two dimensional crystal can move only within the plane of the crystal, At very low temperature the molar heat capacity of such a crystal is C$$_1$$ and at room temperature it is C$$_2$$

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    What is C$$_2$$ in terms of R?

  • Question 2
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    The African bombardier beetle stenaptinus insignis can emit a jet of defensive spray from the movable tip of its abdomen. The beetle's body has reservoirs of two different chemicals. When the beetle is disturbed, these chemicals are combined in a reaction chamber producing a compounds that is warmed from $$20^o$$C to $$100^o$$C by the heat of reaction. The high pressure produced allows the compound to the sprayed out at speeds 19 ms$$^{-1}$$ scaring away predators of all kinds. Assume specific heat of two chemicals and the spray to be same as that of water $$[4.19 \times 10^3 J (kgK)^{-1}]$$ and initial temperature of chemicals to be $$20^o$$C. How many times does the pressure increase?

  • Question 3
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    The correct graph between PV and P of one mol of gas at constant temperature will be

  • Question 4
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    A gas is filled in a container at any temperature and at pressure 76 cm of Hg. If at the same temperature the mass of gas is increased by 50% then the resultant pressure will be

  • Question 5
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    In the gas equation $$PV= RT$$, V is the volume of

  • Question 6
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    The mean kinetic energy of gas molecules is zero at

  • Question 7
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    If number of gas molecules in a cubical vessel is increased from N to 3N, then its pressure and total energy will become

  • Question 8
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    At what temperature will the mean molecular energy of a perfect gas be one-third of its value of 27$$^o$$C?

  • Question 9
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    The pressure of a gas in a container is 10$$^{-11}$$ pascal at 27$$^o$$C. The number of molecules per unit volume of vessel will be

  • Question 10
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    The mean kinetic energy of a gas molecule at 27$$^o$$C is 6.21 $$\times$$ 10$$^{-21}$$ Joule. Its value at 227$$^o$$ C will be

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