MASS BALANCE ON REACTOR:

S7 = 1469.81293 kgmol/hr

0.21160617 iC4H100.00242807 nC4H100.39298288 C4H80.39298288 H2

BASIS892.2016 kgmol/hr

0.996 S40.004

Reaction occured in the reactor :

iC4H10 C4H8 + H2

Flow rate of iC4H10 in the feed stream = 888.632804 kgmol/hr

Assume 65 % of iC4H10 to obtian C4H8.

therefore kgmol/hr of C4H8 obtain is: 577.611322 kgmol/hr

35 % of iC4H10 un reacted = 311.021481 kgmol/hr

Based upon stoichiometric ratio :

(inert) (unreacted) (inert)nC4H10 + iC4H10 C4H8 + H2 + iC4H10 + nC4H103.56880644 888.6328 577.6113 577.611322 311.021481 3.568806

.

iC4H10

nC4H10

Input Output Stream S4 S7

Component MW Molar flow Mass flow Molar Flow Mass flow(kg/kgmol) kgmol/hr kg/hr kgmol/hr kg/hr

iC4H10 58 888.6328 51540.7 311.021481 18039.2459nC4H10 58 3.568806 206.9908 3.56880644 206.990774C4H8 56 - - 577.611322 32346.234H2 2 - - 577.611322 1155.22264Total 892.2016 51747.69 51747.6934

Mass Balance On Seperator :

Stream S10

H2 577.611322 kgmol/hr

Stream S9 =1469.813 kgmol/hr

i-C4H8 0.392983H2 0.392983iC4H10 0.211606nC4H10 0.002428

Stream S11= 892.20161 kgmol/hr

C4H8 0.6474 kgmol/hriC4H10 0.3486 kgmol/hrnC4H10 0.004 kgmol/hr

1

Mass Balance On Mixer :Correction is needed

Stream S13 635.3725 kgmol/hrStream S14 635.372455 kgmol/hr

1 CH3OH 1 CH3OH

H2O

Stream S29 = kgmol/hr0.059631 CH3OH0.940369 H2O

Input Output Stream S13 S29 S14ComponenMW Molar flow Mass flow Molar flow Mass flow Molar flow Mass flow

kg/kgmol kgmol/hr kg/hr kgmol/hr kg/hr kgmol/hr kg/hrCH3OH 32 635.372455 20331.9185 0 635.372455 20331.92H2O 18 - - 0 0 0tatal 635.372455

635.372455

Mass Balance On MTBE Reactor :

Assumption :

98 % conversion of C4H8.

Reactions involve in the Reactor,

1st C4H8 + CH3OH C5H12O2nd 2CH3OH C2H6O + H2O3rd C4H8 + H2O C4H10O

Stream S1 892.2016 kgmol/hr

0.6474 C4H80.3486 iC4H10

0.004 nC4H10

Stream S15 =

C4H8iC4H10nC4H10CH3OHC5H12O

Stream S14= 635.3725 kgmol/hr C4H10OC2H8O

1 CH3OH H2O0 H2O

1st Reaction In The Reactor :

C4H8 + CH3OH C5H12O

kgmol/hr of C4H8 in the stream S11 = 577.6113 kgmol/hr

Balance based upon Stoichiometric ratio with 98 % conversion,

CH3OH is classified an excessso,the unreacted CH3OH (excess) =57.7611322

since, conversion in reactor is : 98 %

therefore :

kgmol/hr of C5H12O obtained = 566.059096 kgmol/hr

unconverted C4H8 11.5522264

unreacted total CH3 69.3133587

From the stoichiometric ratio ,

C4H8 + CH3OH C5H12O + C4H8 + CH3OH577.6113 635.3725 566.059096 11.55223 69.313358678

unconverted1st Reaction :

577.6113 kgmol/hrC4H8

kgmol/hrC4H8

CH3OHC5H12O

635.3725 kgmol/hrCH3OH

Input OutputComponenMW Molar flow Mass flow Molar flow Mass flow

kg/kgmol kgmol/hr kg/hr kgmol/hr kg/hr MdC4H8 56 577.611322 32346.234 11.55223 646.92468099 0.01785714CH3OH 32 635.372455 20331.9185 69.31336 2218.0274777 0.10714286C5H12O 88 - - 566.0591 49813.200436 0.875Total 52678.1526 646.9247 52678.152595 1

2nd Reaction In Reactor :

For 2nd reaction stoichiometry ratio shown below,

since the ratio between CH3OH and C2H6O is 2 : 1

98 % conversion CH3OH in to C2H6O = 33.963545752 kgmol/hrunconverted CH3OH 69.3133587 - 67.92709 = 1.38626717

2CH3OH C2H6O + H2O + 2CH3OH69.31336 33.96355 33.96355 1.38627

69.31336 kgmol/hr kgmol/hrCH3OH

CH3OHC2H6OH2O

Input OutputComponenMW Molar flow Mass flow Molar flow Md Mass flow

kg/kgmol kgmol/hr kg/hr kgmol/hr fraction kg/hrCH3OH 32 69.3133587 2218.02748 1.386267 0.02 44.3605496

C2H6O 46 - - 33.96355 0.49 1562.3231H2O 18 - - 33.96355 0.49 611.343824Total 69.31336 1 2218.02748

3rd reaction In Reactor :

From 1st reaction kgmol of C4H8 remain is 11.55223 kgmol/hr

And 33.96355 kgmol/hr H2O is obtained in 2nd reaction ,

Since C4H8 is limiting reactant to react with H2O only 11.552226446 kgmol/hr of H2Oneeded to react with to react with C4H8.

H2O is classified an excess ,

The unreacted H2O (excess) is 33.9635458 - 11.321181917 = 22.6423638 kgmol/hr

CorrectionThe unreacted C4H8 i11.5522264 - 11.32118

= 0.23104453

C4H10O is obtained 0.98 * 11.55223 =11.3211819

C4H8 + H2O C4H10O + C4H8 + H2O11.55223 33.96355 11.3211819 0.231045 22.642363835

11.55223 kgmol/hrC4H8

34.19459 kgmol/hr

0.331081 C4H10O0.006757 C4H80.662162 H2O

33.96355 kgmol/hr

H2O

Input OutputComponenMW Molar flow Mass flow Molar flow Md Mass flow

kg/kgmol kgmol/hr kg/hr kgmol/hr fraction kg/hrC4H8 56 11.5522264 646.924681 0.231045 0.0067567568 12.9384936H2O 18 33.9635458 611.343824 22.64236 0.6621621622 407.562549C4H10O 74 - - 11.32118 0.3310810811 837.767462Total 1258.2685 34.19459 1 1258.2685

Over All Mass Balance On MTBE Reactor :

Stream S1 892.2016 kgmol/hr

C4H8 0.6474iC4H10 0.3486nC4H10 0.004

Stream S15

C4H8iC4H10nC4H10CH3OHC5H12OC4H10OC2H6OH2O

Stream S1 635.3725 kgmol/hr

1 CH3OH0 H2O

Input Output S11 S14 S15

Component MW Molar flow Mass flow Molar flow Mass flow Molar flow Md Mass flowkg/kgmol kmol/hr kg/hr kgmol/hr kg/hr kgmol/hr fraction kg/hr

C4H8 56 577.6113 32346.234 - - 0.2310445289 0.00024316 12.93849iC4H10 58 311.0215 18039.2459 - - 311.02148125 0.32732426 18039.25

nC4H10 58 3.568806 206.990774 - - 3.56880644 0.00375587 206.9908CH3OH 32 - - 635.372455 20331.92 1.3862671736 0.00145893 44.36055C5H12O 88 - - - - 566.05909587 0.59573016 49813.2C2H6O 46 - - - - 33.963545752 0.03574381 1562.323C4H10O 74 - - - - 11.321181917 0.0119146 837.7675H2O 18 - - 0 0 22.642363835 0.02382921 407.5625Total 892.2016 50592.4707 635.372455 20331.92 950.19378676 1 70924.39

70924.39

Mass Balance On Distiallation Column :

Assume tha90 % of CH3OH in the bottom ,

Stream S17= 351.187741Stream S15= 950.1938 kgmol/hr

0.000223 CH3OH0.002051 H2O

0.000243 C4H8 0.000651 C4H80.327324 iC4H10 0.908015 iC4H100.003756 nC4H10 0.010419 nC4H100.001459 CH3OH 0.07864 C2H6O

0.59573 C5H12O0.035744 C2H6O0.011915 C4H10O0.023829 H2O

Stream S16= 599.006046

0.0007819486 CH3OH0.9756256494 C5H12O0.0164082496 C4H10O

0.0071841525 H2O

Input Output Output S15 S16 S17

Component MW Molar flow Mass flow Molar flow Mass flow Molar flow Mass flow Mass Molekg/kgmol kgmol/hr kg/hr kgmol/hr kg/hr kgmol/hr kg/hr fraction fraction

C4H8 56 0.231045 12.9384936 - - 0.2310445289 12.9384936 0.000651 0.0006578946iC4H10 58 311.0215 18039.2459 - - 311.02148125 18039.2459 0.908015 0.8856273864nC4H10 58 3.568806 206.990774 - - 3.56880644 206.990774 0.010419 0.0101621043CH3OH 32 1.386267 44.3605496 1.24764046 39.92449 0.1386267174 4.43605496 0.000223 0.0003947368C5H12O 88 566.0591 49813.2004 566.059096 49813.2 - -C4H10O 74 11.32118 837.767462 11.3211819 837.7675 - -C2H6O 46 33.96355 1562.3231 - - 33.963545752 1562.3231 0.07864 0.0967105106H2O 18 22.64236 407.562549 20.3781275 366.8063 2.2642363835 40.7562549 0.002051 0.0064473674Total 950.1938 70924.3893 599.006046 51057.7 351.18774107 19866.6906 1 1

Mass Balance On Liquid Liquid Extractor :

In Liquid - Liquid Extractor the ratio of Stream S20 to Stream S18 is = 0.2983

Stream S21= 104.7593 kgmol/hr Stream S23 = 348.78487797 kgmol/hr

H2O C4H8iC4H10nC4H10C2H6O

Stream S18= 351.1877 kgmol/h Stream S25 = 107.16216626 kgmol/hr

0.00039474 CH3OH0.00644737 H2O 0.001294 CH3OH0.00065789 C4H8 0.998706 H2O0.88562739 iC4H10

0.0101621 nC4H100.09671051 C2H6O

Input Output S18 S21 S25 S23

Component MW Molar flow Mass flow Molar flow Mass flow Molar flow Mass flow Molar flor Mass flowkg/kgmol kgmol/hr kg/hr kgmol/hr kg/hr kgmol/hr kg/hr kgmol/hr kg/hr

C4H8 56 0.231045 12.9384936 - - - - 0.231045 12.93849362iC4H10 58 311.0215 18039.2459 - - - - 311.0215 18039.245912nC4H10 58 3.568806 206.990774 - - - - 3.568806 206.99077352CH3OH 32 0.138627 4.43605496 - - 0.1386267174 4.43605496 - -C5H12O 88 - - - - - - - -C2H6O 46 33.96355 1562.3231 - - - - 33.96355 1562.3231046C4H10O 74 - - - - - - - -H2O 18 2.264236 40.7562549 104.759303 1885.667 107.02353954 1926.42371 - -

351.1877 19866.6906 107.16216626 1930.85977 348.7849 19821.498284

Mass Balance On Distillation Column 2 :

Assuming 98 % H2O is in Bottom :

Stream S28= 2.27632497 kgmol/hr

Stream S26= 107.1622 kgmol/hr 0.059681 CH3OH0.940319 H2O

0.001294 CH3OH0.998706 H2O

Stream S27= 104.885841 kgmol/hr

0.00003 CH3OH0.9999735662 H2O

Input Output S26 S28 S27

Component MW Molar flow Mass flow Molar flow Mass flow Mol Molar flow Mass flowkg/kgmol kgmol/hr kg/hr kgmol/hr kg/hr fraction kgmol/hr kg/hr

CH3OH 32 0.138627 4.43605496 0.13585418 4.347334 0.0596813656 0.00277253 0.088721H2O 18 107.0235 1926.42371 2.14047079 38.52847 0.9403186344 104.883069 1887.895Total 107.1622 1930.85977 2.27632497 42.87581 1 104.885841 1887.984

Overall Material Balance On Whole Plant :

INPUT S4 S13 S21Mass flow Mass flow Mass flowkg/hr kg/hr kg/hr51747.6934 20331.92 1885.6674569

Total 73965.28

OUTPUT S10 S16 S23 S27 S28Mass flow Mass flow Mass flow Mass flow Mass flow

kg/hr kg/hr kg/hr kg/hr kg/hr1155.22264 51057.6987 19821.5 1887.9839587 42.8758081

Total 73965.28

SCALE UP FACTOR :

Determination of scale up factor for the end product(MTBE) :

With a basis of 892.20161 kgmol/hr of feed at stream S4, the MTBE obtained is 49813.2004 kg/hr.

It is assumed that the plant is running 8030 hrs/year.

So, the annual production of MTBE is = 4E+08 kg/year.

400000 metric tonn = 400000000 kg

0