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Crank
3 years ago
13

The steam requirements of a manufacturing facility are being met by a boiler whose rated heat input is 5.5 × 106 Btu/h. The comb

ustion efficiency of the boiler is measured to be 0.7 by a hand-held flue gas analyzer. After tuning up the boiler, the combustion efficiency rises to 0.8. The boiler operates 5200 h a year intermittently. Taking the unit cost of energy to be $23/106 Btu, determine the annual energy and cost savings as a result of tuning up the boiler.
Business
1 answer:
e-lub [12.9K]3 years ago
4 0

Solution:

Given Information,

Heat input is ( Q_{in} ) = 5.5 × 10^{6} Btu/h

Combustion efficiency of the boiler (n_{furnance}) = 0.7

Combustion efficiency after turn up (n_{furnance,now}) = 0.8

Operation Hour (t) = 5200h

Unit cost (c) = \frac{23 dollar}{10^{6}Btu }

Calculate heat output from the boiler  Q_{out} = Q_{in} x n_{furnance}

                                                                      = 5.5 x 10^{6} x 0.7

                                                                      = 3.85 x 10^{6} Btu/h

Calculate the heat input to the boiler after the tune-up

(Q_{in} ){new} = Q_{out} / (n_{furnance} ){new}

               = 3.85 x 10^{6} / 0.8

               = 4.8125  x 10^{6} Btu/h

Calculate the saved energy after the tune-up

(Q_{in} ){saved} = Q_{in} - (Q_{in} ){new}

                 = 5.5 x 10^{6} - 4.8125  x 10^{6} Btu/h

                 = 0.6875  x 10^{6} Btu/h

Calculate the annual energy saving ( E_{Saving} )

E_{Saving} = (Q_{in} ){saved} x t

           = ( 0.6875  x 10^{6} Btu/h ) ( 5200 hr/yr)

           = 3575 x 10^{6} Btu/h

Calculate the annual cost saving

Annual cost saving = E_{Annual saving} x Unit cost

                                = 3575 x 10^{6} Btu/h x \frac{23 dollar}{10^{6}Btu }

                                = 82225

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