Final answer:
To determine the final temperature of the system after 100.0 g of Zn at 95.0°C is immersed into 50.0 g water at 15.0°C, use the principle of heat transfer. Use the equation Q = mcΔT to find the heat gained by the water and heat lost by Zn. Set these two equations equal to each other and solve to find the final temperature.
Step-by-step explanation:
To determine the final temperature of the system after 100.0 g of Zn at 95.0°C is immersed into 50.0 g water at 15.0°C, we can use the principle of heat transfer. The heat lost by the Zn will be equal to the heat gained by the water. The equation for heat transfer is Q = mcΔT, where Q is the heat transferred, m is the mass, c is the specific heat, and ΔT is the change in temperature. First, we can find the heat gained by the water:
Q_water = m_water * c_water * ΔT_water
Q_water = (50.0 g) * (4.184 J/g°C) * (T_final - 15.0°C)
Similarly, we can find the heat lost by Zn:
Q_Zn = m_Zn * c_Zn * ΔT_Zn
Q_Zn = (100.0 g) * (0.3884 J/g°C) * (95.0°C - T_final)
Since the heat lost by Zn is equal to the heat gained by water, we can set these two equations equal to each other:
(100.0 g) * (0.3884 J/g°C) * (95.0°C - T_final) = (50.0 g) * (4.184 J/g°C) * (T_final - 15.0°C)
By solving this equation, we can find the final temperature of the system.