States Of Matter

  • Question
    CBSEENCH11008060

    If Z is a compressibility factor, Vander Waal's equation at low pressure can be written as 

    • straight Z space equals 1 plus RT over pb
    • straight Z space equals space 1 minus straight a over VRT
    • straight Z space equals space 1 minus pb over RT
    • straight Z space equals space 1 space plus space pb over RT

    Solution

    B.

    straight Z space equals space 1 minus straight a over VRT

    According to Vander Waal's equation
    open parentheses straight p plus straight a over straight V squared close parentheses space left parenthesis straight V minus straight b right parenthesis space equals space RT
At space low space pressure comma space open parentheses straight p plus straight a over straight V squared close parentheses straight V space equals space RT
pV space plus straight a over straight V space equals space RT
pV space equals space RT minus straight a over straight V
Divide space both space side space by space RT comma
pV over RT space equals space 1 minus straight a over RTV

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