Question

A certain amount of heat is added to a mass of aluminium (specific heat $s=0.21cal/g{}^{o}C$) and its temperature is raised by $57{}^{o}C$. If (suppose that) the same amount of heat is added to the equal mass of copper ($s=0.093cal/g{}^{o}C$). The temperature rise in copper is

• A. $157{}^{o}C$
• B. $129{}^{o}C$
• C. $29{}^{o}C$
• D. $57{}^{o}C$

Answer 1

The correct option is B $129{}^{o}C$

Given,

Mass of both copper and aluminum is equal

Equal amount of heat given to both copper and aluminum.

Heat added goes into Internal energy,

$Q=m_{al}{s}_{al}\Delta T=m_c{s}_c\Delta T_c$

$\Delta T_c=\frac{s_{al}}{s_{cu}}\Delta T_{al}=\frac{0.21}{0.093}\times 57=128.71{}^{o}C$

Hence, change in temperature of copper is $128.71{}^{o}C$