In a typical combustion engine the workdone by a gas molecule is given by W = α 2 β e - β x 2 k T , where x is the displacement, k is the Boltzmann constant and T is the temperature. If α and β are co

Question

In a typical combustion engine the workdone by a gas molecule is given by W = α 2 β e - β x 2 k T , where x is the displacement, k is the Boltzmann constant and T is the temperature. If α and β are constants, dimensions of α will be:

TestHub · Accepted Answer

k T has dimension of energy β x 2 k T is dimensionless β L 2 = ML 2 T - 2 β = MT - 2 α 2 β has dimensions of work α 2 MT - 2 = ML 2 T - 2 α = M 0 LT 0

Physics - Unit & Dimension Question with Solution | TestHub

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