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Answer:

[tex]{ \underline{\boxed{\sf{0.6475 \: J/g \degree C}}}}[/tex]

Explanation:

The formula for calculating specific heat is:

[tex] \sf C = \dfrac{q}{m \times \Delta T}[/tex]

Where:

  • q is the amount of heat transferred,
  • m is the mass of the substance,
  • [tex]\sf \Delta T [/tex] is the change in temperature.

According to the given information, we have;

  • Mass, m = 25 g
  • Heat, q = 269 J
  • Change in temperature, [tex]\sf \Delta T [/tex] = 22.1°C - 6.1°C = 16.0°C

Now, plug these values into the formula for specific heat;

[tex] \sf C = \dfrac{q}{m \times \Delta T} \\ [/tex]

[tex] \sf C = \dfrac{259{J}}{25.0 \: g \times 16.0{\degree C}} \\ [/tex]

[tex] \sf C = \dfrac{259 \: {J}}{400 \ g \degree C} \\ [/tex]

[tex] \bf C = 0.6475 \: {J/g}\: {\degree C} \\ [/tex]

Therefore, the specific heat of the metal is 0.6475 J/g °C

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