Answer:
To calculate the specific heat of the unknown metal, we can use the formula:
Q = m * c * deltaT
Where:
Q = heat released (in Joules)
m = mass of the unknown metal (in grams)
c = specific heat of the metal (in J/g°C)
deltaT = change in temperature (in °C)
We know the mass of the metal, the change in temperature, and the amount of heat released. So we can rearrange the formula to solve for the specific heat:
c = Q / (m * deltaT)
Plugging in the values:
c = 7500 J / (135g * (100.5°C - 35.5°C))
c = 7500 J / (135g * 65°C)
c = 0.104 J/g°C
Therefore, the specific heat of the unknown metal is 0.104 J/g°C.