Assume Q=1.5 GPM and deltaZ = 1.2 m How do I find answer for part c) and d)? Pro

Question

Assume Q=1.5 GPM and deltaZ = 1.2 m How do I find answer for part c) and d)?
Professor Solovitz is interested in reducing his energy use footprint, so he proposes integrating a hydroelectric power source into his home. The only water source he currently has is his kitchen sink, which is located on the first floor of his house. He would like to estimate the amount of power he could generate using this available resource. Since you do not have immediate access to the water tap, you can use your own sink for an approximation. a. Through experimentation, estimate the maximum flow rate, Q (in GPM), that you can provide from your sink. Estimate the height difference, Az (in m) between your water tap and the ground outside your house. b. c. What is the maximum power, Wnax (in W), that this source could provide? d. The local water utility charges $0.01 per every 1.7 gallons of water used, while the power company charges $0.114 per kWh. How much money (in $) might Prof. Solovitz save per year through his scheme?

Explanation / Answer

C) Power=mass flow rate * specific work

# mass flow rate = 1.5GPM=0.0945 Kg/sec  

{1 gal/min = 0.063 kg/sec}

Specific work(w) = g * h

= 9.81 * 1.2 {g=9.81 constant}

= 11.772

Hence, Power= mass flow rate * specific work

= 0.0945 * 11.772

Power = 1.112 W

D) # Given

Local water utility charges = $ 0.01 per every gallon of 1.7

Power company charges = $ 0.114 per 1Kwh

# Prof Solovitz Scheme

Local water utility charges = since he uses only 1.5 gallons for his modified tap, 0.2 gallons money will be saved.  

i.e when use of 1.7gal is $0.01 similarly 0.1 gal charges is $0.000588

Therefore for 0.2 gallons he saves $0.00117

Company charges = since he produces 1.112 Kwh from his modified tap, 0.112kwh money will be saved. Therefore for 0.112kwh he saves $0.0127

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