(a) Let intercept of line is = log K
then the equation of line will be
y = mx + c
where,
y = log\(\frac xm\)
x = log P
m = tan Q = \(\frac ba\)
C = log K
Thus,
\(log\frac xm=\frac balogP+logK\)
⇒ \(log\frac xm=log\,P^{(\frac ba)}+log\,K\)
⇒ \(log \frac xm = log(K\times P^{(\frac ba)})\)
Taking antilog on both side -
\(\frac xm = K P^{(\frac ba)}\)
This is the expression for adsorption of gases on solids.
(b) Slope of the graph = tan Q = \(\frac ba\)
(c) Basically the intercept of the line represent the logarithm of the proportionality constant
\(\frac xm = K P^{(\frac ba)}\)
K = Proportionality constant
intercept = log K
