The correct answer is:
a. The temperature of the ice increases, while the temperature of the water decreases.
Here's the reasoning: When the bottle of liquid water is placed into the tub filled with ice, heat will flow from the warmer water to the colder ice. As a result, the temperature of the water will decrease as it loses heat, while the temperature of the ice will increase as it absorbs heat. While the ice may initially remain at 0°C until it starts to melt, the overall temperature of the ice (and the ice-water mixture) will increase as the ice absorbs heat from the water. Therefore, option a best describes the situation.