Posted by **Jimmy** on Sunday, December 5, 2010 at 4:49pm.

An Olympic swimming pool is heated and maintained at 30 °C in the winter. It has a volume of 2500 m3, a length of 50 m, and a width of 25 m. During a storm, the pool receives 1 cm of rain over its surface area. If the rain is 15 °C, what will the temperature of the pool be after all the water has mixed? Assume the pool heater remains off during this mixing period.

- Physics -
**bobpursley**, Sunday, December 5, 2010 at 4:54pm
The sum of heats gained is zero.

origmasswater*c*(t-30)+newmassadded*c*(t-15)=0

because the density of the rain and pool water is the same, as is the width and length, you can do this wiht depths.

depth originally= 2500/(50*30)

new depth= .005m added.

2500/(50*30)(t-30)+.005(T-15)=0

solve for t

## Answer This Question

## Related Questions

- algrebra 1 - The area of a rectangle is 128 in². If the length is twice the ...
- Physics - Estimate Olympic swimming pool problem using Order of Magnitude ...
- math - The length of a swimming pool is 22 ft. The width is 40 ft. If the volume...
- Math - A swimming pool is to be constructed with a condition that its length ...
- physics - An Olympic pool has dimensions 50.0 m × 25.0 m × 2.68 m (length × ...
- math - dimensions of a pool the perimeter of a rectangular swimming pool is 192 ...
- math - Troy is building a pool that is proportional to the Olympic-sized pool. ...
- Math - there is a swimming pool, 3 meters in width and 4 meters in length. the ...
- math - a certain company makes inflatable swimming pools that come in four ...
- physics - Consider a rectangular swimming pool of depth 2.3 m with a width and ...

More Related Questions