Question

At some point in the combustion cycle of an engine, the temperature of a combusted air-fuel mixture is 582 degrees Celsius. Given that the pressure in the mixture is 6.2 bar, determine the density of the mixture (in kilogram per cubic metre).

Answer 1

Since we know the temperature and pressure but don't know the density, we can use the equation of state to solve this question. The only thing we need to do before applying this equation is convert the temperature to Kelvin and convert the pressure to Pascal (the SI units). This gives T=582+273.15=855.15K and p=6.2⋅105Pa. Now we can find the density:

p=ρRT
ρ=pRT=6.2⋅105287.00⋅855.15=2.526kg/m3

Answer 2

@anonymous p=rho×R×T
Therefore rho=p/RT

Answer 3

𝑝=𝜌𝑅𝑇
𝜌=𝑝𝑅𝑇=6.2⋅105287.00⋅855.15=2.526𝑘𝑔/𝑚3

Answer 4

T=582+273.15=855.15k
p=6.2
density(rho)=p/RT=6.2/(287*855.15)=2.52619