To find the mass of silver, we can use the equation:
q = m * c * ΔT
Where: q = heat energy (in joules) m = mass of the substance (in grams) c = specific heat capacity of the substance (in J/g°C) ΔT = change in temperature (in °C)
In this case, we are given: q = -295.68 J (negative sign indicates heat release) c = 0.233 J/g°C ΔT = (41°C - 63°C) = -22°C (negative sign indicates decrease in temperature)
Substituting these values into the equation, we have:
-295.68 J = m * 0.233 J/g°C * (-22°C)
Now we can solve for the mass (m):
m = -295.68 J / (0.233 J/g°C * -22°C) m = 56.41 g (rounded to two decimal places)
Therefore, the mass of silver is approximately 56.41 grams.