   Chapter 11, Problem 15P

Chapter
Section
Textbook Problem

A swimming pool filled with water has dimensions of 5.00 m × 10.0 m × 1.78 m. (a) Find the mass of water in the pool. (b) Find the thermal energy required to heat the pool water from 15.5°C to 26.5°C. (c) Calculate the cost of heating the pool from 15.5°C to 26.5°C if electrical energy costs \$0.100 per kilowatt-hour.

(a)

To determine

The mass of water in the pool.

Explanation

Given Info: Length of the pool is 5.00 m, breadth of the pool is 10.0 m and width of the pool is 1.78 m.

Formula to calculate the mass of the water in the pool is,

m=ρV

• m is the mass of water in the pool,
• ρ is the density of water,
• V is the volume of water in the pool,

Formula to calculate volume is,

V=lbh

• l is the length of the pool,
• b is the breadth of the pool,
• h is the height of the pool,

Use lbh for V in m=ρV to rewrite m.

m=ρ(lbh)

Substitute 1.00×103kg/m3 for ρ and 5

(b)

To determine

The thermal energy required to heat the pool water from 15.5°C to 26.5°C.

(c)

To determine

Cost of heating pool.

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