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PHY 101 PHY 101 Past Questions Objective Question
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Question

The gas equation (P + a/V²)(V - b) = RT shows the relation among pressure P, volume V and temperature T. Determine the dimensions of a and b?
Options
A ML⁵T⁻² and L³
Correct Answer
B ML⁵T⁻² and L³
C ML⁵T⁻² and L³
D ML⁵T⁻² and L³
Correct Answer

Option A is the correct answer.

Detailed Explanation

a/V² must have same dimensions as P, so [a]/[V²] = [P] → [a] = [P][V²] = [ML⁻¹T⁻²] × [L⁶] = [ML⁵T⁻²]. b must have same dimensions as V, so [b] = [L³].

Hint

Terms added must have same dimensions.

Question Info

Course: PHY 101
Topic: PHY 101 Past Questions
Type: Objective
Difficulty: Not specified
Question 1025 of 1250
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