Final answer:
No ice will melt in one day if the ice box is kept in the trunk of a car at 35.0°C.
Step-by-step explanation:
In order to determine how much ice melts in one day, we need to consider the energy transfer that occurs between the ice box and the trunk of the car. This can be done using the formula Q = mcΔT, where Q is the amount of heat transferred, m is the mass of the ice, c is the specific heat capacity of ice, and ΔT is the change in temperature. By calculating the amount of heat transferred from the ice box to the surroundings, we can determine the amount of ice that melts.
Let's assume the initial temperature of the ice box is 0°C and the final temperature is the melting point of ice, which is 0°C. The change in temperature is therefore 0°C. Using the specific heat capacity of ice (2.09 J/g·°C), we can calculate the amount of heat transferred.
Let's say the mass of ice in the ice box is 500 g. Plugging in the values, we have Q = (500 g)(2.09 J/g·°C)(0°C) = 0 J. This means that no ice will melt in one day if the ice box is kept in the trunk of a car at 35.0°C.