The relation between pressure exerted by an ideal gas (p_ideal) and observed pressure (p_real) is given by the equation:

If pressure is taken in Nm^-2, number of moles in mol and volume in m³, Calculate the unit of 'a'. 

What will be the unit of 'a' when pressure is in atmosphere and volume in  dm³? 

This is a short answer type question as classified in NCERT Exemplar

Unit of ‘P’  =  N m^-2

Unit of ‘a’   =  N m^-2  X   (m³)²  / (mol)²

= N-m⁴ mol^-2

Unit of ‘a’ when pressure is in atm, and volume in dm³   

Unit  of ‘P’ =  atm

Unit of ‘a’   =  atm  X  (dm³)²  / (mol)²

= atm-dm⁶ mol^-2

<p><span data-teams="true">This is a short answer type question as classified in NCERT Exemplar</span></p><div><div><picture><source srcset="" media=" (max-width: 500px)"><img src="https://images.shiksha.com/mediadata/images/1751256674phpWWWgMN.jpeg" alt="" width="127" height="43" loading="lazy"></picture></div></div><p><strong> </strong></p><p>Unit of ‘P’&nbsp; =&nbsp; N m^-2</p><p>Unit of ‘a’ &nbsp; =&nbsp; N m^-2&nbsp; X &nbsp; (m³)²&nbsp; / (mol)²</p><p>= N-m⁴ mol^-2</p><p>Unit of ‘a’ when pressure is in atm, and volume in dm³&nbsp;&nbsp;&nbsp;</p><p>Unit&nbsp; of ‘P’ =&nbsp; atm</p><p>Unit of ‘a’ &nbsp; =&nbsp; atm&nbsp; X&nbsp; (dm³)²&nbsp; / (mol)²</p><p>= atm-dm⁶ mol^-2</p>

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