How much heat must be transferred to 1600 g of iron to change the iron's temperature from 202oC to 214oC? (The specific heat capacity of iron is 0.450 J/g•oC.)A.8600 JB.300 JC.3.4 JD.60 J
Question
How much heat must be transferred to 1600 g of iron to change the iron's temperature from 202oC to 214oC? (The specific heat capacity of iron is 0.450 J/g•oC.)A.8600 JB.300 JC.3.4 JD.60 J
Solution
To solve this problem, we need to use the formula for heat transfer which is:
q = mcΔT
where:
- q is the heat transferred
- m is the mass of the substance
- c is the specific heat capacity of the substance
- ΔT is the change in temperature
Given:
- m = 1600 g
- c = 0.450 J/g•oC
- ΔT = 214oC - 202oC = 12oC
Substituting these values into the formula gives:
q = (1600 g)(0.450 J/g•oC)(12oC) = 8640 J
So, the heat that must be transferred to the iron is 8640 J. The closest answer to this is A. 8600 J.
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