Answer:
Mass of copper is 500.542 g.
Explanation:
Initial temperature of copper = [tex]122^{0}[/tex]C
specific heat capacity of copper = 0.20 J/°C g
Mass of water = 500 g
Initial temperature of water = [tex]25.3^{0}[/tex]C
Specific heat capacity of water = 4.2 J/°C g
Final temperature of water and copper = [tex]29.7^{0}[/tex] C
Heat loss by copper = Heat gained by water
[tex]m_{c}[/tex][tex]c_{c}[/tex]Δ[tex]T_{c}[/tex] = [tex]m_{w}[/tex][tex]c_{w}[/tex]Δ[tex]T_{w}[/tex]
[tex]m_{c}[/tex] x 0.2 x (122 - 29.7) = 500 x 4.2 x (29.7 - 25.3)
[tex]m_{c}[/tex] x 0.2 x 92.3 = 500 x 4.2 x 4.4
[tex]m_{c}[/tex] x 18.46 = 9240
[tex]m_{c}[/tex] = [tex]\frac{9240}{18.46}[/tex]
= 500.5417
mass of copper is 500.542 g.
