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Calculate the critical temperature of a ...

Calculate the critical temperature of a Van der Waals gas for which `p_(c )` is 100 atm and b is `"0.050 dm"^(3)" mol"^(-1)`.

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To calculate the critical temperature (Tc) of a Van der Waals gas, we can use the following relationships: 1. The critical pressure (Pc) is given by the equation: \[ P_c = \frac{A}{27b^2} \] where A is the Van der Waals constant and b is the volume occupied by one mole of the gas. ...
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Knowledge Check

  • The value critical temperature in terms of van der Waals constants a and b is given by

    A
    `T_C = (8a)/(27Rb)`
    B
    `T_C = (27a) /(8Rb)`
    C
    `T_C = a/(2Rb)`
    D
    `T_C = a/(27Rb)`

  • The value of critical temperature in terms of van der Waals' constants a and b is given by

    A
    `T_(C) = (8a)/(27 Rb)`
    B
    `T_(C) = (27a)/(8 Rb)`
    C
    `T_(C) = (a)/(2 Rb)`
    D
    `T_(C) = (a)/(27 Rb)`

  • The cornpressibility factor of a van der Waals gas at the critical point is equal to

    A
    0
    B
    1
    C
    0.375
    D
    any value

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    Write expressions for Boyle temperature and critical temperature in terms of van der Waals constants. Which one is greater for a particular gas ?

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