heat energy# = #mass of substance × specific heat × change in temperature
#Q = mc∆T#
We want to find #∆T#
Rearranging the formula,
#Q/(mc) = ∆T#
Cu: #∆T=Q/(10*0.092)= color(brown)(Q/0.92 K#
Al: #∆T=Q/(10*0.214)=color(blue)( Q/2.14 K#
Fe: #∆T=Q/(10*0.108)= color(red)(Q/1.08 K#
#color(brown)(Q/0.92 >color(red)(Q/1.08>color(blue)(Q/2.14#
Therefore, #"Cu"# will reach the highest temperature followed by #"Fe"# & #"Al"#.
Think of it this way:
•The #color(blue)("lower"# the specific heat of a substance, the #color(red)("more"# the change in temperature for a given heat energy.
•The #color(blue)("lower"# the mass of a substance, the #color(red)("more"# the change in temperature for a given heat energy.
This is because #∆"T# is inversely proportional to the mass(m) and specific heat(c).
