Question #23181

1 Answer
Nov 15, 2016

Answer:

#"70.1 g"# of water.

Explanation:

Ok, so I did a quick search and found the heat capacity for Cu.

The formula for thermal energy exchange is:

#Q_"released" + Q_"absorbed" = 0#

#(mcDeltaT)_ "released" + (mcDeltaT)_ "absorbed" = 0#

Where

  • #Q# is the quantity of heat
  • #m# is the mass in kg,
  • #c# is the specific heat capacity
  • #DeltaT# is the change in temperature, #(T_2 - T_1)#.

Released is the Copper and the absorbed is the water.

#(mcDeltaT)_ "Cu" + (mcDeltaT)_ "water" = 0#

#0.02(380)(22-100) + m(4180)(22-20) = 0#

#-592.8 + 8360m = 0#

#8360m = 592.8 implies m = 0.071#

Since

#"0.071 kg " = " 70.1 g"#

you have #"70.1 g"# of water.

Hope this helps :)