The specific heat of copper metal is 0. 385 J/(g °C). How much energy must be added to a 35. 0-gram sample of copper to change the temperature from 20. 0 °C to 65. 0 °C? 270 J 606 J 809 J 1,130 J.

Respuesta :

The amount of heat required for changing the temperature of copper has been 606 J. Thus, option B is correct.

Specific heat has been defined as the amount of heat required to raise the temperature of 1 gram of substance by 1 degree Celsius.

The heat required to raise the temperature has been expressed as:

[tex]\rm Heat=mass\;\times\;specific\;heat\;\times\;Change\;in\;temperature[/tex]

Computation for the heat energy required

The given specific heat of copper has been [tex]\rm 0.385\;J/g^\circ C[/tex]

The mass of copper has been, [tex]\rm 35\;g[/tex]

The initial temperature of copper has been, [tex]\rm 20^\circ C[/tex]

The final temperature of copper has been, [tex]\rm 65^\circ C[/tex]

The change in temperature has been, [tex]\Delta T[/tex]

[tex]\Delta T=\text{Final\;temperature-Initial\;temperature}\\\Delta T =65^\circ \text C-20^\circ \text C\\\Delta T=45^\circ \text C[/tex]

Substituting the values for the heat required as:

[tex]\rm Heat=35\;g\;\times\;0.385\;J/g^\circ C\;\times\;45^\circ C\\Heat=606\;J[/tex]

The amount of heat required for changing the temperature of copper has been 606 J. Thus, option B is correct.

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