Chapter 1: Q7P (page 22)

How many joules per second and how many calories per hour are produced by a 100.0-horsepower engine?

Expert verified

(1)The joules per second produced by a 100.0 - horsepower $7.457 \times 10^{4} \frac{J}{s}$

(2) The number of calories produced per hour by a 100.0-horsepower $6.416 \times 10^{7} cal / h$

Step by step solution

The phrase "horsepower" was coined.
Watt tested a huge horse's ability to carry a load and discovered that it could pull 150 pounds while walking at 2.5 miles per hour.

A horsepower is a common unit for expressing power, and its SI equivalent is measured in watts (W). 745.700W is the equal of 1 horsepower.

(1) Calculate the joules per second produced by a 100 .0 - horsepower engine using the following formula: Note that $1 W = 1 \frac{J}{s}$

role="math" localid="1663303266290" $100.0 horsepower = 7.457 \times 10^{4} W = 7.457 \times 10^{4} \frac{J}{s}$

(2) Calculate the number of calories produced per hour by a 100.0-horsepower engine as illustrated below:

"Note that $1 cal = 4.184 J$

$100.0 horsepower = \frac{7.457 \times 10^{4} J / s}{4.184 J} \times 3600 \sec / h 100.0 horsepower = 6.416 \times 10^{7} cal / h$

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