# Calculate time to heat my swimming pool

I have a swimming pool of 5300Liters. I have a heating element from a washing machine taking 1min17s to heat a bucket (10L) of water from 22 degrees to 30 degrees celcius.

the water in my pool is 19 degrees celcius.

how long would it take to warm my pool to 30 degrees? How long would it take to warm it to 25 degrees?

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## migrated from math.stackexchange.comSep 3 '11 at 12:33

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I've asked a mod for physics.SE migration. – user172 Sep 3 '11 at 12:23
I'm sorry I really had no idea what tag to give this one :) – Stefanvds Sep 3 '11 at 12:26
A pool is such a huge and complex system, it will be near impossible to give an accurate theoretical answer to this. Your best bet is to do an experiment. – Michael Sep 3 '11 at 14:18

It is a simple calculation. You need $77s$ to heat $10l$ water by $8$ degree so you need $0,9625s$ to heat $1l$ water by $1$ degree (noting that the relation is proportional, this is physics) and therefore $11 °\cdot5300 l \cdot 0,9625 \frac{s}{l \cdot °}= 56113,75s \approx 15,6 h$.