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ADNAN MUHAMMED

Grade 12,

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In the expression (P+a/v^2)(v-b)= RT. P is the pressure and V is the volume. Calculate the dimensions of a and b.

In the expression (P+a/v^2)(v-b)= RT.
P is the pressure and V is the volume. Calculate the dimensions of a and b.

Grade:12th pass

1 Answers

Ratnesh Pathak
20 Points
9 years ago
Since a/v^2 is being added to P, the unit of both these quantities should be same. Since only similar unit quantities can be added/subtracted.
hence a/v^2 will have the units same as pressure i.e N/m^2.
Value of a = N/m^2 * v^2 and hence the dimensions will be L^5M^1T^-2
 similaryly b can be found, dimensions will be L^-3

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