Final answer:
To calculate the specific heat capacity of the metal, use the equation q(metal) + q(water) = 0. Plug in the given values and solve for c(metal).
Step-by-step explanation:
To calculate the specific heat capacity of the metal, we can use the equation:
q(metal) + q(water) = 0
We know that the metal gains heat and the water loses heat, so we can write the equation as:
m(metal) * c(metal) * ( Ti) + m(water) * c(water) * ( Ti) = 0
Plugging in the values:
40.0g * c(metal) * (60.15°C - 130.0°C) + 50.0g * 4.18 J/g°C * (60.15°C - 20.0°C) = 0
Simplifying the equation, we can solve for c(metal):
40.0g * c(metal) * (-69.85°C) + 50.0g * 4.18 J/g°C * 40.15°C = 0
c(metal) = (50.0g * 4.18 J/g°C * 40.15°C) / (40.0g * -69.85°C)
c(metal) = -0.342 J/°C*g