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For $n$ moles of gas, van der Waals' equation is $(p + \frac{a}{V^{2}}) (V - b) = n R T$
Find the dimensions of $a a n d b$ , where $p$ = pressure of gas, $V$ = volume of gas and $T$ = temperature of gas.

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[a]=ML5 T-2,[b]=L2

[a]=ML5 T-2,[b]=L3

[a]=ML4 T-2,[b]=L3

[a]=ML5 T2,[b]=L3

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detailed solution

Correct option is B

[b]=[V]=L3 [a][V]2=[P]=ML-1T-2 [a]=ML5 T-2

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For n moles of gas, van der Waals' equation is p+aV2(V-b)=nRTFind the dimensions of a and b, where p= pressure of gas, V= volume of gas and T= temperature of gas.

Remember concepts with our Masterclasses.

Ready to Test Your Skills?

free study material

For $n$ moles of gas, van der Waals' equation is $(p + \frac{a}{V^{2}}) (V - b) = n R T$
Find the dimensions of $a a n d b$ , where $p$ = pressure of gas, $V$ = volume of gas and $T$ = temperature of gas.