Answer to Question #245001 in Physics for Diane

Question #245001

Determine the density of oxygen gas (O2) at a pressure of 172,000Pa and temperature =-18 Celsius. State your answer to the nearest 0.001 kg/m3, follow the standard rounding rules in stating answer. Take the molar mass of molecular oxygen to be 32 g/mol, R=8.31 JK^-1mol^-1 and take the absolute zero to be -273 Celsius.


1
Expert's answer
2021-10-03T13:24:54-0400

Write the universal gas law:


PV=mMRT, P=ρMRT, ρ=PMRT=1720000.0328.31(27318)=2.596 kg/m3.PV=\frac m{\Mu} RT,\\\space\\ P=\frac{\rho }{\Mu}RT,\\\space\\ \rho=\frac{P\Mu}{RT}=\frac{172000·0.032}{8.31·(273-18)}=2.596\text{ kg/m}^3.


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