Problem 4 A person called AA takes daily a bath. A friend BB wants to convince AA to change this to a 5 minutes/day shower. BB brings two arguments: saved quantity of water - saved money per year AA agrees to accept, if by switching from a daily bath to a 5 minutes daily shower, AA saves on both followings (and condition, both need to be met): the yearly saved quantity of water is higher than the water in a rectangular 12x24 foot, 3.5 feet depth on-ground pool at least close to $0.50 per day in electricity (e.g. at least $0.45) including taxes Question: Will AA switch from bathing to showering? Input data: bath: volume 150 litres (large bathtub), shower: 7 l/min for both shower and bath: o 10C cold water temperature, o 65C hot water temperature in water tank, 44.5 C bath/shower water temperature o 0.0938 $ / kWh o 15% Quebec & Canada taxes Note: You can use Excel for numerical computations, but you must provide, in the PDF document, every step of your calculation. E.g. Scenario 1 bath Step 1-calculate the volume of water at 44.5 'Cused during a 5 minutes shower: 7.51/min* 5 min/shower = 37.5 l/shower Step 2 - calculate the volume of water at 44.5C used per year: 37.5l/shower 365 showers/ year = 13,6871/ year (at 44.5C) 0 Etc. Scenario 2: shower o Step 1 - Etc. Comparison Water consumption . Shower Bath Delta (bath - shower) Electricity cost Shower Bath Delta (bath-shower) 0 Problem 4 A person called AA takes daily a bath. A friend BB wants to convince AA to change this to a 5 minutes/day shower. BB brings two arguments: saved quantity of water - saved money per year AA agrees to accept, if by switching from a daily bath to a 5 minutes daily shower, AA saves on both followings (and condition, both need to be met): the yearly saved quantity of water is higher than the water in a rectangular 12x24 foot, 3.5 feet depth on-ground pool at least close to $0.50 per day in electricity (e.g. at least $0.45) including taxes Question: Will AA switch from bathing to showering? Input data: bath: volume 150 litres (large bathtub), shower: 7 l/min for both shower and bath: o 10C cold water temperature, o 65C hot water temperature in water tank, 44.5 C bath/shower water temperature o 0.0938 $ / kWh o 15% Quebec & Canada taxes Note: You can use Excel for numerical computations, but you must provide, in the PDF document, every step of your calculation. E.g. Scenario 1 bath Step 1-calculate the volume of water at 44.5 'Cused during a 5 minutes shower: 7.51/min* 5 min/shower = 37.5 l/shower Step 2 - calculate the volume of water at 44.5C used per year: 37.5l/shower 365 showers/ year = 13,6871/ year (at 44.5C) 0 Etc. Scenario 2: shower o Step 1 - Etc. Comparison Water consumption . Shower Bath Delta (bath - shower) Electricity cost Shower Bath Delta (bath-shower) 0
