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»

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Solution :`[P]=((a)/(V^2))` (only quantities of similar dimension can be ADDED or SUBTRACTED)
`[a]=[PV^(2)]`
`[ML^(-1)T^(-2)][L^3]^(2)= [ML^(5)T^(-2)]`
Similar, `[B]=[V]=[L^3]`
`[(a)/(b)]=[(ML^(5)T^(-2))/(L^(3))]=[ML^(2)T^(-2)]`.


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