Mass flow through a sonic nozzle is a function of gas pressure and temperature. For a given pressure p and temperature T, mass flow rate through the nozzle is given by m = 0.0549 p /(T)0.5 where m is in Ib'min, p is in psia and T is in °R a. Determine what the units for the constant 0.0549 are. b. What will be the new value of the constant, now given as 0.0549, if the variables in the equation are to be substituted with SI units and m is calculated in SI units.

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Chapter1: Chemical Foundations
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Q1)
Mass flow through a sonic nozzle is a function of gas pressure and temperature. For a
given pressure p and temperature T, mass flow rate through the nozzle is given by
m = 0.0549 p /(T)0.5 where m is in Ib/min, p is in psia and T is in °R
a. Determine what the units for the constant 0.0549 are.
b. What will be the new value of the constant, now given as 0.0549, if the variables in
the equation are to be substituted with SI units and m is calculated in SI units.
Q2)
An empirical equation for calculating the inside heat transfer coefficient, h; , for the
turbulent flow of liquids in a pipe is given by:
0.023 GO.8 K0.67 Cp0.33
hi
D0.2 µ0.47
where hi = heat transfer coefficient, Btu/(hr)(ft("F)
G=mass velocity of the liquid, lbm/(hr)(ft)?
K = thermal conductivity of the liquid, Btu (hr)(ft)(F)
Cp = heat capacity of the liquid, Biu(lbm)(F)
u= Viscosity of the liquid, Ib/(ft)(hr)"
D= inside diameter of the pipe, (ft)
a. Verify if the equation is dimensionally consistent.
b. What will be the value of the constant, given as 0.023, if all the variables in the
equation are inserted in SI units and h is in SI units.
Q3)
Phosphoric acid is a colorless deliquescent acid used in the manufacture of fertilizers
and as a flavoring agent in drinks. For a given 10 wt % phosphoric acid solution of specific
gravity 1.10 detemine:
a. the mol fraction composition of this mixture.
b. the volume (in gallons) of this solution which would contain 1 g mol HPO4.
Transcribed Image Text:Q1) Mass flow through a sonic nozzle is a function of gas pressure and temperature. For a given pressure p and temperature T, mass flow rate through the nozzle is given by m = 0.0549 p /(T)0.5 where m is in Ib/min, p is in psia and T is in °R a. Determine what the units for the constant 0.0549 are. b. What will be the new value of the constant, now given as 0.0549, if the variables in the equation are to be substituted with SI units and m is calculated in SI units. Q2) An empirical equation for calculating the inside heat transfer coefficient, h; , for the turbulent flow of liquids in a pipe is given by: 0.023 GO.8 K0.67 Cp0.33 hi D0.2 µ0.47 where hi = heat transfer coefficient, Btu/(hr)(ft("F) G=mass velocity of the liquid, lbm/(hr)(ft)? K = thermal conductivity of the liquid, Btu (hr)(ft)(F) Cp = heat capacity of the liquid, Biu(lbm)(F) u= Viscosity of the liquid, Ib/(ft)(hr)" D= inside diameter of the pipe, (ft) a. Verify if the equation is dimensionally consistent. b. What will be the value of the constant, given as 0.023, if all the variables in the equation are inserted in SI units and h is in SI units. Q3) Phosphoric acid is a colorless deliquescent acid used in the manufacture of fertilizers and as a flavoring agent in drinks. For a given 10 wt % phosphoric acid solution of specific gravity 1.10 detemine: a. the mol fraction composition of this mixture. b. the volume (in gallons) of this solution which would contain 1 g mol HPO4.
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