# Temperature 7477

The pool with a length of l = 50 m and a width of s = 15 m has a depth of h1 = 1.2 m at the shallowest part of the wall. The depth then gradually increases to a depth of h2 = 1.5 m in the middle of the pool. = 4.5 m walls in the deepest part of the pool. Consider the specific heat capacity of water c = 4,200 J / (kg · °C).

a) What is the volume of water in the pool?

b) How long does it take to fill the pool with two inlets if each flows A = 5 liters / s?

c) How much GJ of heat is needed to heat the pool water by ∆t = 10 °C?

d) When filling the pool for the first time, we require that the water has a temperature of t = 25 °C.

How much hot water and how much cold water will we need if the temperature of cold water t1 = 10 °C and hot water t2 = 60 °C?

a) What is the volume of water in the pool?

b) How long does it take to fill the pool with two inlets if each flows A = 5 liters / s?

c) How much GJ of heat is needed to heat the pool water by ∆t = 10 °C?

d) When filling the pool for the first time, we require that the water has a temperature of t = 25 °C.

How much hot water and how much cold water will we need if the temperature of cold water t1 = 10 °C and hot water t2 = 60 °C?

## Correct answer:

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#### You need to know the following knowledge to solve this word math problem:

**algebra**- equation
- system of equations
**solid geometry**- prism
**planimetrics**- area of a shape
- trapezoid
- rectangle
**numbers**- fractions

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