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When the universal gas constant (R ) is ...

When the universal gas constant (R ) is divided by Avogadro's number `(N_(0))`, their ratio is called

A

Planck constant

B

Boltzmann constant

C

Stefan constant

D

none

Text Solution

Verified by Experts

The correct Answer is:
B

`R/N` gives Boltzmann constant
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A gas in equilibrium has uniform density and pressure throughout its volume. This is strictly true only if there are no external influences. A gas column under gravity, for example, does not have uniform density (and pressure). As you might expect, its density decreases with height. The precise dependence is given by the so-called 'law of atmospheres' n_2 = n_1 exp[-(mg)(H_2-H_1)/(kT)] where n_2,n_1 refer to number density at heights h_2 and h_1 respectively.Use this relation to derive the equation for sedimentation equilibrium of a suspension in a liquid column: n_2= n_1 exp[(-mgN_a)/(RT) (1-(rho)/(rho))(h_2-h_1)] where rho is the density of the suspended particle, and rho' that of surrounding medium. [N_A is Avogadro's number, and R the universal gas constant].