Question

Aluminum has a specific heat capacity more than twice that of copper. Place equal masses of aluminum and copper wire in a flame and the one to undergo the fastest increase in temperature will be:

Answer 1

Answer: copper

Explanation:

Given :

$heat_{aluminium}=heat_{copper}$  

$m_{Al}=m_{Cu}$

$c_{Al}$ > $c_{Cu}$

As we know that,  

$Q=m\times c\times \Delta T$

where,

Q = heat absorbed or released

$m$ = mass of substance

$\Delta T$ = change in temperature

$c$ = specific heat of substance

$m_{Al}\times c_{Al}\times \Delta T{Al}=m_{Cu}\times c_{Cu}\times \Delta T{Cu}$    

$c_{Al}\times \Delta T{Al}=c_{Cu}\times \Delta T{Cu}$

Given the heat absorbed is same, As specific heat capacity of copper is less than that of aluminium, the increase in temperature should be faster for  copper as compared to that of aluminium.