A force of 5 N stretches an elastic band at room temperature. The rate at which its entropy changes as it stretches is about: J/km

16.7 J/km

Explanation:

Given that,

Force acting on an elastic band = 5 N

We need to find the rate at which its entropy changes as it stretches.

The relation between the force and the change in entropy per unit length is given by :

...(1)

Where

T is temperature

For room temperature, T = 298 K

dS/dl is the change in entropy

Put values in equation (1).

Hence, the required rate at which its entropy changes is 16.7 J/km.

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