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:

Question

In a typical combustion engine the workdone by a gas molecule is given by W = &#945; 2 &#946; e - &#946; x 2 k &#160; T , where x is the displacement, k is the Boltzmann constant and T is the temperature. If &#945; and &#946; are constants, dimensions of &#945; will be:

Aicharya · Accepted Answer

k T has dimension of energy &#946; x 2 k T is dimensionless &#946; L 2 = ML 2 T - 2 &#946; = MT - 2 &#945; 2 &#946; has dimensions of work &#945; 2 MT - 2 = ML 2 T - 2 &#945; = M 0 LT 0

In a typical combustion engine the workdone by a gas molecule is given by W = α 2 β e - β x 2…

Solution

In a typical combustion engine the workdone by a gas molecule is given by W = &#945; 2 &#946; e - &#946; x 2…

Solution

In a typical combustion engine the workdone by a gas molecule is given by W = α 2 β e - β x 2…