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  • I have a doubt, kindly clarify. - States of matter - JEE Main

'a'\; and\; 'b' are van der Waals’ constants for gases. Chlorine is more easily liquefied than ethane because

  • Option 1)

    a\; and\; b\; for \; Cl_{2}> a\; and\; b\;\; for\; C_{2}H_{6}

  • Option 2)

    a\; and\; b\; for \; Cl_{2}< a\; and\; b\;\; for\; C_{2}H_{6}

  • Option 3)

    a\; for\; Cl_{2}< a\; for\; C_{2}H_{6}\; but\; b\; for\; Cl_{2}> b\; for\, C_{2}H_{6}

  • Option 4)

    a\; for\; Cl_{2}> a\; for\; C_{2}H_{6}\; but\; b\; for\; Cl_{2}< b\; for\, C_{2}H_{6}

 

Answers (1)

best_answer

As we learnt in

Vander waal equation for real gas -

\left (p+\frac{an^{2}}{v} \right )(V-nb)=nRT

- wherein

a, b : Vander waal Constants, P- Pressure, V- Volume, n- No. of moles, R- Gas Constant, T- Temperature

 

 'a' is directly proportional to molecular mass while 'b' is directly proportional to molecular size.

'a' for Cl2 > a for C2H6 but 'b' for C2H6 > 'b' for Cl2

Correct option is 4.

 


Option 1)

a\; and\; b\; for \; Cl_{2}> a\; and\; b\;\; for\; C_{2}H_{6}

This is an incorrect option.

Option 2)

a\; and\; b\; for \; Cl_{2}< a\; and\; b\;\; for\; C_{2}H_{6}

This is an incorrect option.

Option 3)

a\; for\; Cl_{2}< a\; for\; C_{2}H_{6}\; but\; b\; for\; Cl_{2}> b\; for\, C_{2}H_{6}

This is an incorrect option.

Option 4)

a\; for\; Cl_{2}> a\; for\; C_{2}H_{6}\; but\; b\; for\; Cl_{2}< b\; for\, C_{2}H_{6}

This is the correct option.

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prateek

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