Final answer:
Based only on the given information, the temperature of the second water bath cannot be determined exactly. While we can infer that the rate of cooling was faster in the second bath, it doesn't necessarily mean that the second bath was colder than the first one. Other factors could have contributed to the difference in cooling times.
Step-by-step explanation:
The temperature of the second water bath cannot be determined directly from the given information. This is because the cooling of an object is governed by Newton's law of cooling, which states that the rate of heat loss of a body is directly proportional to the difference in the temperatures between the body and its surroundings.
Even though the same object cooled faster in the second bath than in the first bath (175s compared to 155s), we cannot attribute this solely to a difference in the temperature of the two baths. It could be that other conditions, such as the volume of the water in the bath or the type of material from which the object is made, were different in the two scenarios.
What is clear is that the rate of cooling was faster in the second bath. This could imply that the second bath was colder than the first, but without additional information to isolate the effect of bath temperature from the other possible variables, it's impossible to calculate the exact temperature of the second bath.
Learn more about Newton's law of cooling