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How many grams of copper could be heated from 20 oC to 75 oC if 1200 calories are applied to it?
The mass of copper is 240 g.
Use the following formula:
q = m x c x DeltaT,
where:
q is energy, m is mass, c is specific heat capacity, and DeltaT is the change in temperature.
DeltaT = Tfinal-Tinitital
Known
q = 1200 cal
cCu = 0.0923 cal/g.oC
Tinitial = 20oC
Tfinal = 75oC
DeltaT = 75oC - 20oC = 55oC
Unknown
mass of copper
Solution
Rearrange the equation q = m x c x DeltaT to isolate m. Plug in the known values and solve.
m = q/(c x DeltaT)
m = 1200/(0.0923 x 55) = 240 g (rounded to two significant figures)
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