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# Utilizing Heat Capacities to Solve for an Initial Temperature

CHEM-NGJ64E

A 50 gram block of metal with an initial temperature of ${ 135 }^{ o }C$ is placed in 100 grams of water and the final temperature of both is ${ 85 }^{ o }C$.

Assuming the system is thermally insulated, what was the original temperature of the water?

$({ c }_{ { H }_{ 2 }O }=4.18\frac { J }{ { g }^{ o }C }, { c }_{metal}=1.02\frac { J }{ { g }^{ o }C })$

A

${ 79 }^{ o }C$

B

${ 60 }^{ o }C$

C

${ 74 }^{ o }C$

D

${ 91 }^{ o }C$