The equation of state of a gas is $(P + \frac{a T^{2}}{V}) \times V_{1}^{c} = (R T + b)$ where a, b, c and R are constants. The isotherms can be represented by $P = A V^{m} - B V^{n}$ where A and B depend only on temperature. Then,

Q. The vanderwall equation of a gas is

(\begin{matrix} P + \frac{a T^{2}}{V} \end{matrix}) V^{c} = (R T + b)

. Where

a, b, c

and

R

are constants. If the isotherm is represented by

P = A V^{m} - B V^{n}

, where

A

and

B

depends on temperature :

Q. The density of a gas is equal to:

(

P =

pressure,

V =

volume,

T =

temperature,

R =

gas constant,

n =

number of moles and

M =

molecular weight).

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Select the correct formula :(where k=Boltzmann's constant, R= gas constant, n= moles, r = density, M= molecular weight, p= pressure, T= kelvin temperature, V= volume)a) k=RNav b)r=nMVc)pr=RTMd) R=kNav

Select the correct formula :
(where k=Boltzmann's constant, R= gas constant, n= moles, r = density, M= molecular weight, p= pressure, T= kelvin temperature, V= volume)
a) k=RN $_{a v}$
b) $r = \frac{n M}{V}$
c) $\frac{p}{r} = \frac{R T}{M}$
d) R=kN $_{a v}$