Answer:
69.2 °C
Step-by-step explanation:
To find the final temperature, you need to use the following equation:
Q = mcΔT
In this equation,
------> Q = heat (J)
------> m = mass (g)
------> c = specific heat capacity (J/g°C)
------> ΔT = T₂ - T₁ = change in temperature (°C)
To clarify, "T₁" represents the initial temperature and "T₂" represents the final temperature. You can plug the given values into the equation and simplify to find "T₂".
Q = 226 J c = 0.030 J/g°C
m = 192.4 g ΔT = T₂ - T₁ = T₂ - 30°C
Q = mcΔT <----- Given equation
Q = mc(T₂ - T₁) <----- Rewrite ΔT
226 J = (192.4 g)(0.030 J/g°C)(T₂ - 30°C) <----- Insert variables
226 J = 5.772(T₂ - 30°C) <----- Multiply 192.4 and 0.030
39.154 = T₂ - 30°C <----- Divide both sides by 5.772
69.2 = T₂ <----- Add 30 to both sides