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Statement-1: Excluded volume or co-volum...

Statement-1: Excluded volume or co-volume equals to (V-nb) for n moles gas.
Statement-2: co-volume depends on the effective size of gas molecules.

A

Statement-I is True, Statement-II is True : Statement-II is a correct explanation for Statement-I

B

Statement-I is True, Statement-II is True : Statement-II is `NOT` a correct explanation for Statement-I

C

Statement-I is True, Statement-II is False.

D

Statement-I is False, Statement-II is True.

Text Solution

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The correct Answer is:
d
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The van der Waals constant b is realted to the volume occupied by the molecules of a gas. It is known as the excluded volume by the molecules of a gas. It is known as the excluded volume or noncompressible volume of the gas. It is equal to ……… times the actual volume of one mole of gas molecules.

The excluded volume (b) is = 4 (volume of one gas molecule)

The ratio of excluded volume ( b ) to molar volume of a gas molecule is

For the non-zero volume of the molecules, real gas equation for n mol of the gas will be

Staement -1: The heat absorbed during the isothermal expansion of an ideal gas againt vacuum is zero . Statement -2: The volume occupied by the molecules of an ideal gas is zero.

Ideal gas equation is represented as PV=nRT . Gases present in universe were fond ideal in the Boyle's temperature range only and deviated more from ideal gas behavior at high pressure and low temperature. The deviation are explained in term of compressibility factor z . For ideal behavior Z=(PV)/(nRT)=1 . the main cause to show deviavtion were due to wrong assumptions made about forces oif attractions (which becomes significant at high pressure ) and volume V occupied by molecules in PV=nRT is supposed to be volume of gas or the volume of container in which gas is placed by assuming that gaseous molecules do not have appreciable volume. Actually volume of the gas is that volume in which each molecule of gas can move freely. If volume occupied by gaseous molecule is not negligible, then the term V would be replaced by the ideal volume which by available for free motion of each molecule of gas in 1 mole gas. V_("actual")= volume of container -volume occupied by molecules =v-b Where b represent the excluded volume occupied by molecules present in one mole of gas. Similarly for n mole gas V_("actual")=v-nb The ratio of coefficient of thermal expansion alpha=(((delV)/(delT))_(P))/V and the isothermal compressibility beta=-((delV)/(delP)_(T)) for an ideal gas is:

In the van der Waals equation (P + (n^(2)a)/(V^(2)))(V - nb) = nRT the constant a reflects the actual volume of the gas molecules.

GRB PUBLICATION-GASEOUS STATE-Exercise
  1. Statement-1: CH(4),CO(2) has value of Z (compressibility factor) less ...

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  2. Statement-1: Critical temperature of the gas is the temperature at whi...

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  3. Statement-1: Excluded volume or co-volume equals to (V-nb) for n moles...

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  4. Statement-1: Gases like N(2),O(2) behave as ideal gases at high temper...

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  5. Assertion: Most probable velocity is the velocity possessed by maximum...

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  6. Statement-1: Noble gases can be liquefied. Statement-2: Molecular ma...

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  7. Statement-1: The diffusion rate of oxygen is smaller than that of nitr...

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  8. Statement-1: The density of an ideal gas doubles when the pressure of ...

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  9. Statement-1: The total kinetic energy of vapours formed over liquid H(...

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  10. Statement-1: A gas from a flask is allowed to effuse through a pinhole...

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  11. At the same temperature and pressure, which of the following will have...

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  12. At the same T and P, which of the following gases will have the highes...

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  13. The van der Waal's gas constant 'a' is given by:

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  14. Critical temperature for a particular gas is-177^(@)C then for which o...

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  15. A small capillry tube of length 100cm closed at one end is kept horizo...

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  16. Chlorofluorocarbons such as C Cl(3)F (molecular mass=137.5) and C Cl(2...

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  17. A galss tube, Ad, of uniform cross section area, is 88cm long. When th...

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  18. A student collected two values of P,V(m) for a gas at two different te...

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  19. The temperature of a certain mass of a gas increased from 37^(@)C to 3...

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  20. For gaseous state which of the following is incorrect?

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