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The boiling point of amphetamine, C9H13N,is201oCat 760torr androle="math" localid="1663316155282" 83oCat 13torr. What is the concentration (ing/m3)of amphetamine when it is in contact with20oCair?

Short Answer

Expert verified

The concentration of amphetamine when it is in contact with air at temperature20oC is .42.12g/m3

Step by step solution

01

Step 1: Definition 

Enthalpy of vaporization may be defined as the energy required to convert the liquid into the vapor phase. It is also known as Enthalpy of evaporation.

Clausius- Clapeyron equation

lnP2P1=Δ±áovapR[1T2-1T1]

The ideal gas equation is a type of equation that defined the ideal gas. The ideal gas does not affect by the change in the pressure or volume of the gas at any temperature.The equation for the ideal gas is.PV=nRT

A number of moles can be defined as the ratio of the mass of the atom/molecule and the molar mass of the atom/molecule.

Number of â¶Ä‰Moles=MassMolar Mass

02

The enthalpy of vaporization of dimethyl ether.

As

Initial Vapour pressure,P1=13atm

Initial Temperature,T1=83oC=356k

Final Vapour pressure,P2=760atm

Final Temperature,T2=201oC=474k

Therefore,

lnP1P2=Δ±áovapR[1T2-1T1]⇒ln13760=Δ±áovap8.314[1474-1356]⇒ln0.0171=Δ±áovap8.314[356-474474×356]⇒-4.07=Δ±áovap8.314[-118168744]⇒Δ±áovap=4.07×8.314×168744118⇒Δ±áovap=48.4kJ/mole

The enthalpy of vaporisation, Δ±áovap=48.4kJ/mole.

03

Step 3:

As,

Number of â¶Ä‰Moles,n=Mass(M)MolarMass(M.M.)

And,

PV=nRT⇒760×V=MM.M.×8.314×293⇒760×V=M135×8.314×293⇒760×135=MV×8.314×293⇒MV=760×1358.314×293⇒MV=42.12g/m3

Therefore, theconcentration of amphetamine when it is in contact with air at temperature 20oC is42.12g/m3 .

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