Asheet of nickel weighing 10.0 g is placed in 20.0 g of water at a temperature of 18.0 °c. the final temperature of the water is 25.0 °c. what was the starting temperature of the nickel sheet?

The starting temperature of the nickel sheet is 158.16 °C

Explanation:

Step 1: Data given

Mass of nickel = 10.0 grams

Mass of water = 20.0 grams

Cp of water = 4.184 J/g°C

Cp of nickel = 0.440 J/g°C

Initial temperature of water = 18.0 °C

Final temperature of water ( and nickel) = 25.0 °C

Initial temperature of Nickel = TO BE DETERMINED

Step 2: Calculate the starting temperature of nickel

Qgained = -Qlost

Qnickel = -Q water

Q =m*c*ΔT

with m = mass (in grams)

with c = the specific heat capacity (in J/g°C)

with ΔT = The change in temperature = T2 -T1 (in °C)

- Qnickel = Qwater

-10.0g * 0.440 J/g°C* ΔT = 20.0g * 4.184 J/g°C *( 25.0-18°C)

4.4 * ΔT = -585.76

ΔT = -133.13

ΔT =T2 -T1

-133.13 = 25.0 - T1

T1 = 25 + 133.16 = 158.16 °C

The starting temperature of the nickel sheet is 158.16 °C