Question

A hot tub is filled with 410 gallons of water. If the hot tub heater provides 5900 kJ/min, how long (in hours) will it take to heat the water in the hot tub from 67 degrees Fahrenheit to 197 degrees Fahrenheit?

Answer 1

Here are the steps you need.
1. Convert 410 gallons of water to liters.
2. Using density of water as 1.0 g/mL, convert to grams H2O
3. Convert 67 degrees F to degrees celsius
4. Convert 197 degrees F to degrees Celsius
5. q = mass H2O in grams x specific heat H2O x (Tfinal-Tintial) knowing specific heat H2O is 4.184 J/g*C
6. Convert q in J to kJ
7. Then use kJ/min x # min = kJ in 6
Post your work if you get stuck.
I'm not an engineer so I don't know specific heat in J/gallon*degrees F and couldn't find it on the web therefore I converted everything to grams and degrees Celsius
Post your work if you get stuck. .