Energy Balance On W1.docx

Energy Balance on W1 T1= 500ᴏC Hot Steam In

T2= 400ᴏC Natural Gas Out

T1= 25ᴏC Natural Gas In

T1= 110ᴏC Hot Steam Out

T1 = 25ᴏC = 298 K T2 = 400ᴏC = 673 K QNaturalGas  QCH 4  QC2 H 6  QC3 H8  QCO2  QN 2

Qi  ni



T2

T1

C P dT

C P, gas  A  BT  CT 2  DT 3

The following values of cp are referred in the book of Cengel in Appendix 1 Table A-2: Component

A

B

C

D

Temperature Range (K)

CH4

19.89

5.024×10-2

1.269×10-5

-11.01×10-9

273 - 1500

C2H6

6.900

17.27×10-2

-6.406×10-5

7.285×10-9

273 - 1500

C3H8

-4.04

30.48×10-2

-15.72×10-5

31.74×10-9

273 - 1500

H2O(g)

32.24

0.1923×10-2

1.055×10-5

-3.595×10-9

273 - 1800

H2

29.11 -0.1916×10-2 0.4003×10-5 -0.8704×10-9

273 - 1800

CO

28.16

0.1675×10-2

0.5372×10-5

-2.222×10-9

273 - 1800

CO2

22.26

5.981×10-2

-3.501×10-5

7.469×10-9

273 - 1800

28.90 -0.1571×10-2 0.8081×10-5

-2.873×10-9

273 - 1800

N2

For CH4: QCH 4  560 .9353

 19.89  5.024  10 673

2

298



T  1.269  10 5 T 2  11.01  10 9 T 3 dT

QCH 4  9670563 .082 kJ hr

For C2H6: QC2 H 6  18.8947

 6.900  17.27  10 673

2

298



T  6.406  10 5 T 2  7.285  10 9 T 3 dT

QC2 H 6  537461 .3984 kJ hr

For C3H8: QC3 H 8  1.1809

  4.04  30.48  10 673

2

298



T  15.72  10 5 T 2  31.74  10 9 T 3 dT

QC3 H 8  48366 .07037 kJ hr

For CO2: QCO2  8.8569

 22.26  5.981  10 673

2

298



T  3.501  10 5 T 2  7.469  10 9 T 3 dT

QCO2  144868 .3775 kJ hr

For N2: Q N 2  0.5905

 28.90  0.1571  10 673

298

2



T  0.8081  10 5 T 2  2.873  10 9 T 3 dT

Q N 2  6589 .7447 kJ hr

Calculating for QNatural Gas:



Q Natural Gas   QCH 4  QC2 H 6  QC3 H 8  QCO2  Q N 2



Q Natural Gas  9670563 .082  537461 .3984  48366 .07037  144868 .3775  6589 .7447  Q Natural Gas  10407848 .67 kJ hr

The Cp of H2O at 500ᴏC = 2.1365 kJ / kg K Q  mC p T

 10407848 .082  mCW 2.1365 383  773  mCW  12490 .892 kg hr