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CA 8-58 (algorithmic) Question Help When boiling water, a hot plate takes an ave

ID: 1874586 • Letter: C

Question

CA 8-58 (algorithmic) Question Help When boiling water, a hot plate takes an average of 8 minutes and 51 seconds to boil 130 milliters of water. Assume the temperature in the lab is 69 degrees Fahrenheit. The hot plate is rated to provide 361 watts. How efficient is the hot plate? Click the loon to view conversion formulas for temperature scales Click the icon to view the factors for conversions involving temperature differences. Click the icon to view the conversion table of water. Click the icon to view the table of specific heats The efficiency is[1%. (Round your answer to three significant digits.)

Explanation / Answer

Boiling point of water

T2=100oC

Initial Temperature

T1=(69-32)*(5/9)=20.56oC

Thermal energy is

Q=mc(T2-T1)=(130*10-3)*4184*(100-20.56)

Q=43209 J

Power

P=Q/T =43209/(8*60+51)=81.4 Watts

efficency is

n=(81.4/361)*100

n=22.54%

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