Gas Laws, Molecular Weight & Density

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Presentation transcript:

Gas Laws, Molecular Weight & Density

Ideal Gas Law ...Revisited Substitute for n n = mass/M M = molar mass PV = nRT PV = mass RT M Rearrange... mass V = D PM = mass RT V But.... (Density) Density Molar Mass Temp (K) Pressure D = PM RT PM = DRT

Density: Hot Air Balloons Graphics: www.howstuffworks.com

Balloon heated air Density T=120.0 C (393.15K) More Balloons... Mair= 28.8 g/mol (Average) Balloon heated air Density T=120.0 C (393.15K) D = PM RT = 0.980 atm 28.8g/mol 0.0820578 (L atm)/(mol K)(393.15K) D = 0.875 g/L Surrounding air Density Density Balloon < Densityair D = 1.13 g/L D = 0.875 g/L T = 30.2 C (303.35K) Patm=744.8 torr (0.980 atm) D = PM RT = 0.980 atm 28.8g/mol 0.0820578 (L atm)/(mol K)(303.35K) D = 1.13 g/L

Balloon heated air Density T=120.0 C (393.15K) More Balloons... Mair= 28.8 g/mol (Average) Balloon heated air Density T=120.0 C (393.15K) D = PM RT = 0.980 atm 28.8g/mol 0.0820578 (L atm)/(mol K)(393.15K) D = 0.875 g/L Surrounding air Density Density Balloon < Densityair D = 1.13 g/L D = 0.875 g/L T = 30.2 C (303.35K) Patm=744.8 torr (0.980 atm) D = PM RT = 0.980 atm 28.8g/mol 0.0820578 (L atm)/(mol K)(303.35K) D = 1.13 g/L

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