We can use the formula for heat released:
Q = mcΔT
where Q is the heat released, m is the mass of the sample, c is the specific heat of the material, and ΔT is the change in temperature.
Plugging in the given values, we have:
113.8 J = m(0.240 J/g°C)(-45.0°C)
Simplifying:
m = 113.8 J / (0.240 J/g°C * -45.0°C)
m = 106.5 g
Therefore, the mass of the silver sample is 106.5 g.