The slope of the graph between log P and log V at constant temperature, for a given mass of a gas is:
Hello Aashish, Greetings!
We know according to equation of gases:
PV=nRT
now take log both side
log(PV)=log (nRT)
logP +logV=log (nRT)
logP= (-1) logV +log (nRT)
In question, given temperature is constant and mass is also constant hence mole is constant , its mean nRT is constant .
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 is required ananswer.
Thank you.