In the equation [X + a/Y²](Y - b) = RT, X is pressure and Y is volume. The physical quantity having the same dimensions as a/b is:
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Question

In the equation [X + a/Y²](Y - b) = RT, X is pressure and Y is volume. The physical quantity having the same dimensions as a/b is:

G1 Physics · Accepted Answer

Since X and a/Y² are added, they have the same dimensions: [a/Y²] = [pressure] Thus, [a] = [pressure][volume]² = [ML⁻¹T⁻²][L⁶] = [ML⁵T⁻²] Also, [b] = [volume] = [L³] Therefore, [a/b] = [ML²T⁻²] which is the dimension of energy. Hence option B follows.