The density of some air at a pressure of 7720mmhg is 1.26kgm^-³. determine its density at a pressure at 600mmhg?

0.0979 kg/m³

Explanation:

Treating air as an ideal gas:

PV = nRT

n/V = P/RT

Density depends on both pressure and temperature.  If we assume the temperature is constant, we can say that density is directly proportional to pressure.

ρ = kP

ρ/P = k

Writing a proportion:

(1.26 kg/m³) / (7720 mmHg) = ρ / (600 mmHg)

ρ = 0.0979 kg/m³

Explanation:

As we know that for ideal gas we will have

here we can convert it into the form of density

now we have

now if the temperature will remain constant then in that case

so we will have

here we can plug in all values in it

now we have