Final answer:
To find the final temperature of the mixture, use the principle of conservation of energy and apply the equation q = mcΔT. The final temperature of the mixture is approximately 55.5°C.
Step-by-step explanation:
To find the final temperature of the mixture, we need to apply the principle of conservation of energy. The heat gained by the methanol will be equal to the heat lost by the water. Using the equation: q = mcΔT, we can calculate the heat gained by the methanol and the heat lost by the water.
Since there is no heat loss to the surroundings, we can assume that the total heat gained and lost is equal. By rearranging the equation and solving for the final temperature, we can find that the final temperature of the mixture is approximately 55.5°C.