Question #a20b0

1 Answer
Apr 25, 2014

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_(Cr) = +Q_(water)#

specific heat of water is 4.18 j/gC

We will assume that water boils at 100 C and that is the initial temp of the chromium.

#-[25.0g(22.6 - 100C) (C_p)] = 80.0g(22.6 - 20.0C) (4.18J/gC)#
#1935(C_p) = 869.44#
#C_p = 869.44/1935#
#C_p = 0.449 J/gC#

I hope this was helpful.
SMARTERTEACHER