please show full answer Engineering Process A gaseous stream containing nitrogen

Question

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Engineering Process A gaseous stream containing nitrogen and methanol at 2 atm and 55°C and flowing at 100 SCMH has a dew point of 48°C. a) Determine the relative saturation of this stream. b) Calculate the temperature to which the gas must be cooled to condense 95% of the methanol vapour if it is compressed to 5 atm, assuming that the exiting liquid and vapour methanol vapour if it is compressed to 5 atm, assuming that the exiting liquid and vapour streams are in equilibrium. Also calculate the actual volumetric flow rate of the gas assuming ideal gas behaviour (m/h). c) Suppose that the initial gas stream is instead cooled to 40°C. Determine the pressure to which the gas would have to be compressed to condense 95% of the methanol, assuming that the exiting liquid and vapour streams are in equilibrium.

Explanation / Answer

a. to find saturation = (vapour density / humidity) x100

= 100SCMH / 48oc x100

saturation of this stream is = 208%

b. temprature = Q / mc (Q = amount of heat , m = mass , c = specific heat)

temprature ,T = 95 / 2x5

T = 95/10 = 9.5

temprature to which the gas must be cooled is 9.5oC

to find actual flow rate

Q = Q(SCMH) x Pstd / Pactual

Q = 100 x 2/5

Q = 40

so the Actual volumetric flow rate (ACMH) = 40ACMH

C. pressure to which gas would have to compress , P = 1/2 x(q)x(v2) (q = air density , v= air velocity)

= 1/2 x2x(100)2

= 1/2 x2x10000 = 1/2 x 20000

P= 10000N

pressure to which the gas would have to compress = 10000Newtons

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