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Using van der Waals equation, calculate ...

Using van der Waals equation, calculate the constant `a` when `2 mol` of a gas confined in a `4 L` flasks exerts a pressure of `11.0 atm` at a temperature of `300 K`. The value of `b` is `0.05 L mol^(-1)`.

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The correct Answer is:
6.46 atmp `L^(2) mol^(-2)`
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van der Waal's equation for calculating the pressure of a non ideal gas is (P+(an^(2))/(V^(2)))(V-nb)=nRT van der Waal's suggested that the pressure exerted by an ideal gas , P_("ideal") , is related to the experiventally measured pressure, P_("ideal") by the equation P_("ideal")=underset("observed pressure")(underset(uarr)(P_("real")))+underset("currection term")(underset(uarr)((an^(2))/(V^(2)))) Constant 'a' is measure of intermolecular interaction between gaseous molecules that gives rise to nonideal behavior. It depends upon how frequently any two molecules approach each other closely. Another correction concerns the volume occupied by the gas molecules. In the ideal gas equation, V represents the volume of the container. However, each molecule does occupy a finite, although small, intrinsic volume, so the effective volume of the gas vecomes (V-nb), where n is the number of moles of the gas and b is a constant. The term nb represents the volume occupied by gas particles present in n moles of the gas . Having taken into account the corrections for pressure and volume, we can rewrite the ideal gas equation as follows : underset("corrected pressure")((P+(an^(2))/(V^(2))))underset("corrected volume")((V-nb))=nRT Using van der Waals' equation, find the constant 'a' (in atm L^(2)mol^(-2) ) when two moles of a gas confined in 4 L flask exerts a pressure of 11.0 atmospheres at a temperature of 300 K. The value of b is 0.05 L mol^(-1) .(R = 0.082 atm.L/K mol)

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MOTION-GASEOUS STATE -EXERCISE-2(LEVEL-II)
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  3. Using van der Waals equation, calculate the constant a when 2 mol of a...

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  4. The pressure exerted by 12 g of an ideal gas at temperature t^(@)C in ...

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  5. (a) One mole of nitrogen gas at 0.8 atm takes 38 s to diffuse through ...

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  6. A gas will approach ideal behaviour at

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  7. The compressibility of a gas is less than unity at STP .

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  8. The rms velocity of hydrogen is sqrt(7) times the rms velocity of nitr...

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  9. The pressure of a fixed amount of an ideal gas is proportional to its ...

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  10. The root mean square velocity of an ideal gas to constant pressure var...

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  11. The compression factor (compressibility factor) for 1 mol of a van der...

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  12. Select the correct observartion for a 8.21 litre container, fillled wi...

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  13. Select the incorrect statement ( s) :

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  14. Select the correct option for an ideal gas undergoing a process as sho...

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  15. Select the correct option(s) for an ideal gas.

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  16. Select the correct option ( s) :

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  17. An ideal gas behaving 2moles ( fixed) is subjected to the changes as s...

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  18. A open ended mercury manometer is used to measure the pressure exerte...

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  19. Match the entries in column I with entries in Column II and then pick...

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  20. Match the description in Column I with graph provided in Column II. Fo...

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