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Answer :
The specific heat of the metal is approximately 0.45 J/g°C.
To calculate the specific heat of the metal, we can use the formula
Q = mcΔT,
where Q is the heat energy absorbed, m is the mass of the sample, c is the specific heat, and ΔT is the change in temperature.
Rearranging the formula, we get c = Q/(mΔT).
Plugging in the values from the question,
c = 663 J / (25.5 g * (98.4 °C - 36.6 °C)).
Calculating the expression gives us a specific heat of approximately 0.45 J/g°C.
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