Question

The slope of the graph between log P and log V at constant temperature for a given mass of a gas is:- Kindly answer sir/mam. a) +1 b) -1 c) 1/T d) 1/n

Answer 1

we know according to gases equation
PV=nRT
now take log both side
log(PV)=log (nRT)
logP +logV=log (nRT)
logP= (-1) logV +log (nRT)

question given temperature is constant and mass is also constant hence mole is constant , its mean nRT is constant .
so, log (nRT) is constant
now you see
logP=(-1) logV+log(nRT)
just like
y=mx+c
where y =logP
x=logV
c=log (nRT)
and m=-1
here m is slope of equation
so, slope =-1

Answer 2

P V = n R T

Mass is constant => n is constant.     Given T is constant.

So   P V = constant
        Log P + Log V = constant
        Log P = -  Log V + constant

Slope of the straight line graph is  -1.