It P is the pressure and `rho` is the density of a gas, then P and `rho` are realted as :

Options

A. ` P prop rho `
B. `P prop ( 1//rho)`
C. `P prop rho^(2)`
D. `P prop (1 // rho^(2))`

Answer

A

Explanation

Ideal gas equation is given as :
PV=nRT
P=Pressure of gas, V=volume of gas
n= mole of gas, R= gas constant , T= temperature
`implies PV=(w)/(M)RT " "`w=mass of gas
m= Molecular mass of gas
`P=((w)/(V))(RT)/(M)implies P=rho""(RT)/(M)`
(As `rho=(w)/(V)`)
`implies P prop rho `