Experiment question- energy consumed from single shower

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SUMMARY

This discussion focuses on calculating the energy consumed during a typical shower, specifically using the average shower time of 17 minutes and a shower head water usage of 2.5 gallons per minute. The water cost is noted at $2.00 per 1,000 gallons, while the electric water heater operates at a cost of $0.17 per kWh. The temperature difference between the incoming water (61°F) and the desired shower temperature (115°F) is essential for determining the energy required, utilizing the equation Q = mcΔT for calculations.

PREREQUISITES
  • Understanding of the specific heat capacity of water
  • Familiarity with the equation Q = mcΔT
  • Basic knowledge of energy consumption calculations
  • Awareness of water cost metrics
NEXT STEPS
  • Research the specific heat capacity of water to apply in calculations
  • Learn how to convert gallons to liters for more precise measurements
  • Investigate energy consumption calculators for electric water heaters
  • Explore methods to calculate the cost of water usage based on flow rate
USEFUL FOR

Students conducting experiments in physics or environmental science, homeowners evaluating water and energy costs, and anyone interested in understanding the energy consumption of household activities.

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Homework Statement


Not really a problem but more of an experiment.
Attempting to measure the amount of energy used for one typical shower
I have come up with these units, I need help figuring out the energy being consumed through the shower water use and shower water cost. Some equations would be very helpful.

Average Shower Time: 17 Minutes
Shower Head Water Usage: 2.5 gallons (U.S. Average) per minute
Water Cost: $2.00 per 1,000 gallons (U.S. annual average for price)
Water Heater Usage energy type: Electric
Cost of Water Heater Usage: $0.17 per kWh
Water Temperature: Calculated at approximately 61 degrees Fahrenheit
Shower Temperature: Calculated at approximately 115 degrees Fahrenheit



Homework Equations


the issue is I am not sure what equation needs to be used to solve for energy


The Attempt at a Solution


Dont have an attempt without the equations
 
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Q = mcΔT

You know the mass, you can look up the specific heat capacity and you can calculate by how much you want to heat the water by.
 

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