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Chapter 19: Q. 40 (page 544)

The burner on an electric stove has a power output of 2.0 kW. A 750 g stainless steel teakettle is filled with 20掳C water and placed on the already hot burner. If it takes 3.0 min for the water to reach a boil, what volume of water, in cm3, was in the kettle? Stainless steel is mostly iron, so you can assume its specific heat is that of iron.

Short Answer

Expert verified

The volume of the cubic is 994cm3

Step by step solution

01

Definition of unitary efficiency 

Unitary efficiency defines that no loss will be seen due to the change of variables.

02

Finding teh volume of cubic 

The haet equation is Q=Pt

mk,mw,ci,cware the mass of the kettle, the mass of water, specific heat in the kettle and specific heat in the water.

Q=鈭�T(cimk+cwmw)

role="math" localid="1649148289466" mw=pVQ=PtQ=鈭�T(cimk+cwmw)

Applying all values

V=1cw蚁(P(鈭�T)-cimk)V=14190脳1000(2000脳3脳60(100-20)-449脳0.75)=994cm3

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