Question

The dimension of Boltzmann constant are the same as that of
(i) Pressure density
(ii) Stefan's constant
(iii) Plank's constant
(iv) entropy

class 11​

Answer 1

Answer:

the boltzman constant has the same dimension that of entropy .

please mark this answer as the brainliest.

Answer 2

Answer:

The answer is option (iv) entropy

Explanation:

In thermodynamics, the Boltzmann constant is the physical continuous relation between the average kinetic energy of the gas particles and the temperature of the gas described by k or kB. The value of the Boltzmann constant is calculated using J/K or m2Kgs-2K-1. This is especially observed in Boltzmann’s entropy formula and Planck’s law of Black body radiation.

• Boltzmann constant

$\begin{aligned}k &=\frac{R}{N}=\frac{P N}{T N}=\frac{W}{T N}=\frac{M L^{2} T^{-2}}{K} \\&=\left[M^{1} L^{2} T^{-2} k^{-1}\right]\end{aligned}$

A large element of possibility is inherited in the natural processes. For the sample, the spacing between trees is a spontaneous natural process. Correspondingly, the falling of tree leaves on the bottom with the random arrangement is also a random process.

• Entropy,

$=\frac{Q}{T}=\frac{M L^{2} T^{-2}}{K} \left[M^{1} L^{2} T^{-2} k^{-1}\right]$

Hence, The answer is option (iv) entropy

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