States of Matter

Question

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

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

Answer

straight Z space equals space 1 minus straight a over VRT

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