The equation given below is the Vandar Wall's equation for a gas (P+(a)/(V^2))(V-b)=RT where P is the pressure, V is the volume, R is the universal gas constant and T is the temperature. Find the dimensions of a"/"b.

The equation given below is the Vandar Wall's equation for a gas (P+(a

1.	The equation given below is the Vandar Wall's equation for a gas (P+(a)/(V^2))(V-b)=RT where P is the pressure, V is the volume, R is the universal gas constant and T is the temperature. Find the dimensions of a"/"b.
Answer» <html><body><p><<a href="https://interviewquestions.tuteehub.com/tag/p-588962" style="font-weight:bold;" target="_blank" title="Click to know more about P">P</a>></p>Solution :`[P]=((a)/(V^2))` (only quantities of similar dimension can be <a href="https://interviewquestions.tuteehub.com/tag/added-367625" style="font-weight:bold;" target="_blank" title="Click to know more about ADDED">ADDED</a> or <a href="https://interviewquestions.tuteehub.com/tag/subtracted-2258353" style="font-weight:bold;" target="_blank" title="Click to know more about SUBTRACTED">SUBTRACTED</a>) <br/> `[a]=[PV^(2)]` <br/> `[ML^(-1)T^(-2)][L^3]^(2)= [ML^(5)T^(-2)]` <br/> Similar, `[<a href="https://interviewquestions.tuteehub.com/tag/b-387190" style="font-weight:bold;" target="_blank" title="Click to know more about B">B</a>]=[V]=[L^3]` <br/> `[(a)/(b)]=[(ML^(5)T^(-2))/(L^(3))]=[ML^(2)T^(-2)]`.</body></html>