Answer:
Total energy required to raise the temperature of 425 g of tin from 298.15 K to 505.05 K and to melt the tin at 505.05 K is 45.249 kiloJoules.
Explanation:
Mass of the tin ,m= 425 g
Heat capacity of the tin ,c= 0.227 J/g K
Initial temperature of the tin ,[tex]T_1[/tex]= 25.0 °C = 298.15 K
Final temperature of the tin, [tex]T_2[/tex]= 231.9 °C = 505.05 K
Let the heat required to change the temperature of tin from 298.15 K to 505.05 K be Q.
[tex]Q=mc\times (T_2-T_1)[/tex]
[tex]=425 g\times 0.227 J/g K\times (505.05K - 298.15 K)=19,960.68 J=19.961 kJ[/tex]
Heat required to melt tin at 505.05 K be Q'
The heat of fusion of tin metal =[tex]\Delta H_{fus}=59.2 J/g[/tex]
[tex]Q'= m\times \Delta H_{fus}=425 g\times 59.2 J/g=25,287.5 J=25.288 kJ[/tex]
Total energy required to raise the temperature of 425 g of tin from 298.15 K to 505.05 K and to melt the tin at 505.05 K is:
= Q+Q' = 19.961 kJ + 25.288 kJ = 45.249 kJ
