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Calculate the pressure excerted by 5 mol...

Calculate the pressure excerted by `5 mol` of `CO_(2)` in `1 L` vessel at `47^(@)C` using van der Waals equation. Also report the pressure of gas if it behaves ideally in nature.
`(a=3.592 atm L^(2) mol^(-2), b=0.0427 L mol^(-1))`

Text Solution

Verified by Experts

Using van der Waals equation of state
`(P+(an^(2))/(V^(2)))(V-nb)=nRT`
Substituting the given values, we get
`(P+(3.592xx5^(2))/(l^(2)))(1-5xx0.0427)=5xx0.0821xx320`
`P=77.218 atm`
If the gas behaves ideally, then using `PV=nRT`
`P=(5xx0.0821xx320)/(1)atm=131.36 atm`
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CENGAGE CHEMISTRY-STATES OF MATTER-Exercises (Ture False)
  1. Calculate the pressure excerted by 5 mol of CO(2) in 1 L vessel at 47^...

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  2. In the van der Waals equation (P + (n^(2)a)/(V^(2)))(V - nb) = nRT ...

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  3. Kinetic energy of a molecule is zero at 0^(@)C

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  4. A gas in a closed container will exert much higher pressure due to gra...

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  5. The graph between PV vs P at constant temperature is linear parallel t...

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  6. Real gases show deviation from ideal behaviour at low temperature and ...

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  7. In the microscopic model of the gas, all the moleculer are supposed to...

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  8. For real gases, at high temperature Z = 0 small value of a means gas...

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  9. Small value of a means, gas can be easily liqueifed.

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  10. Rate of diffusion is directly proportional to the square root of molec...

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  11. For ideal gases, Z = 1 at all temperature and pressure.

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  12. According to charles's law,

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  13. The pressure of moist gas is higher than pressure of dry gas.

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  14. Gases do not occupy volume and do not have force of attraction.

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  15. The van der Waal equation of gas is (P + (n^(2)a)/(V^(2))) (V - nb)...

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  16. Surface tension and surface energy have different dimensions.

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  17. The plot of PV vs P at particular temperature is called isovbar.

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  18. Equal volume of all gases always contains equal number of moles.

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  19. A gas with a = 0 cannot be liquified.

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  20. The van der waals constants have same values for all the gases.

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  21. All the molecules in a given sample of gas move with same speed.

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