Gold metal will experience the largest temperature change.
Explanation:
Given:
Four different metals of 25.0 gram in which the same amount of heat was added.
To find:
Which metal will experience the largest temperature change.
Solution
Consider heat added to all metals be Q and the mass of every metal is 25 grams. This means the value of temperature change will be dependent on value specific heat of metals.
The change in temperature of the substance when heat is supplied to the substance is given by:
[tex]Q=m\times c\times \Delta T\\\Delta T=\frac{Q}{mc}\\\Delta T\propto \frac{1}{c}....[1][/tex]
The above relation means that change in temperature is inversely proportional to the specific heat of the metal.
The specific heat of calcium =[tex]c_{Ca}=0.647 J/g^oC[/tex]
The specific heat of iron = [tex]c_{Fe}=0.449 J/g^oC[/tex]
The specific heat of silver = [tex]c_{Ag}=0.235 J/g^oC[/tex]
The specific heat of gold =[tex]c_{Au}=0.129 J/g^oC[/tex]
[tex]c_{Au}<c_{Ag}<c_{Fe}<c_{Ca}[/tex]
So, out of these metals, gold has the lowest value of specific heat and according to relation (1), the temperature change will be largest in 25.0 grams of gold and will be least in calcium.
The order of change in temperature of the metals will be:
[tex]\Delta T_{Au}>\Delta T_{Ag}>\Delta T_{Fe}>\Delta T_{Ca}[/tex]
Gold metal will experience the largest temperature change.
Learn more about the specific heat of substance here:
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