Energy required to heat a mass [tex]m[/tex] having specific heat capacity [tex]c[/tex] causing a temperature difference of [tex]\Delta T[/tex] is given by:
[tex]E=mc\Delta T[/tex]
a)gold
Density [tex]d=19.32 g/cm^3[/tex]
Volume, [tex]V=10cm^3[/tex](given)
Mass of gold, M=d×V
[tex]M=19.32g/cm^3\times10cm^3=193.2g[/tex]
Specific heat capacity of gold, [tex]c=0.129J/g ^oC[/tex]
[tex]\Delta T=25^oC-15^oC=10^oC[/tex]
[tex]\Rightarrow E=mc\Delta T=193.2g\times 0.129J/g ^oC \times 10^oC=249.2J[/tex]
b)Aluminium
Density [tex]d=2.7g/cm^3[/tex]
Volume, [tex]V=10cm^3[/tex](given)
Mass of gold, M=d×V
[tex]M=2.7g/cm^3\times10cm^3=27g[/tex]
Specific heat capacity of gold, [tex]c=0.902J/g ^oC[/tex]
[tex]\Delta T=25^oC-15^oC=10^oC[/tex]
[tex]\Rightarrow E=mc\Delta T=27g\times 0.902J/g ^oC \times 10^oC=243.5J[/tex]
