Answer
$0.40\ J/g.K$
Work Step by Step
From the conservation of energy principle:
$13.8\ g\times C \times (98.8-27.1)=45.0\ g\times 4.184\ J/g.K\times(27.1-25.0)$
$395.39=989.46\times C$
$C=0.40\ J/g.K$
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