Answer : Gold will heat up faster.
Explanation : Given,
The Specific heat of Silver and gold are 0.057 & 0.0314 [tex]calories/gram^{0}C[/tex] respectively.
Specific heat is the amount of energy/heat required to raise the temperature of 1 Kg mass by 1 Kelvin.
The formula of Specific heat is,
[tex]q=m\times c\times (T_{final}-T_{initial})[/tex]
Where,
c = Specific heat
q = Heat required
[tex]T_{final}[/tex] = final temperature
[tex]T_{initial}[/tex] = initial temperature
we are taking initial temperature as zero. According to the question, the mass and the heat are same.
Now put all the values in above formula, we get
For gold,
[tex]q=m\times 0.031\times (T_{gold}-0)[/tex] .........(1)
For silver,
[tex]q=m\times 0.057\times (T_{silver}-0)[/tex] ......... (2)
Now equating equation (1) and (2), we get
[tex]T_{gold}=1.83\times T_{silver}[/tex]
From this, we conclude that the temperature of gold is 1.83 times higher than the temperature of silver.
Therefore, Gold will heat up faster.
