Question

Question #d4bcc

Answer 1

The thermochemistry base equation is `Q=mC_pT` where
Q = Heat in Joules
m = mass of the material
`C_p` = specific heat capacity
T = change in Temperature `T_f - T_i`

For this equation the metal is going to lose heat make Q negative while the water is going to gain heat making Q positive

Due to the Law of Conservation of Energy the heat lost by the metal will be equal to the heat gained by the water.

`-Q_(Pb) = +Q_(water)`

specific heat of lead is 0.130 j/gC
specific heat of water is 4.18 j/gC

`-[800g(100 - 900C) (.130 J/gC)] = 1500g(100 - T_iC) (4.18J/gC)`
`83,200 = 62,700 - 6,270T_i`
`20,500 = - 6270T_i`
`-3.29C = T_i`

Change in temp for the water is `100 -(-3.29)C = 103.29C`

I hope this was helpful.
SMARTERTEACHER