The work done by a gas molecule in an isolated system is given by, W = α β 2 e - x 2 α k   T , where x is the displacement, k is the Boltzmann constant and T is the temperature. α and β are constants. Then the dimensions of β will be:

Question

The work done by a gas molecule in an isolated system is given by, W = &#945; &#946; 2 e - x 2 &#945; k &#160; T , where x is the displacement, k is the Boltzmann constant and T is the temperature. &#945; and &#946; are constants. Then the dimensions of &#946; will be:

Aicharya · Accepted Answer

x 2 &#945; k T &#8594; dimensionless &#8658; &#945; = x 2 k T = L 2 ML 2 &#160; T - 2 = M - 1 &#160; T 2 Now W = &#945; &#946; 2 &#946; = ML 2 &#160; T - 2 M - 1 &#160; T 2 = M 1 &#160; L 1 &#160; T - 2

The work done by a gas molecule in an isolated system is given by, W = α β 2 e - x 2 α k…

Solution

The work done by a gas molecule in an isolated system is given by, W = &#945; &#946; 2 e - x 2 &#945; k…

Solution

The work done by a gas molecule in an isolated system is given by, W = α β 2 e - x 2 α k…