se the table to answer the question.

Cup Number Ice Added (grams)
1 22.1
2 105.3
3 19.0
4 58.0
A student adds ice to four identical cups of water. The mass of ice added is shown in the table. Which cup will have the greatest change in temperature?

(1 point)
Responses

2
2

4
4

3
3

1

1 answer

To determine which cup will have the greatest change in temperature, we can analyze the relationship between the mass of ice added and the resulting temperature change.

The formula for calculating temperature change (\( \Delta T \)) due to the addition of ice to water relates to the specific heat and the mass of the substances involved. The greater the mass of ice added, the greater the energy (heat) absorbed from the water, leading to a more significant temperature change.

From the table:

  • Cup 1: 22.1 grams
  • Cup 2: 105.3 grams (greatest)
  • Cup 3: 19.0 grams
  • Cup 4: 58.0 grams

Since Cup 2 has the highest mass of ice added (105.3 grams), it will absorb the most heat from the water, leading to the greatest change in temperature.

Thus, the answer is:

2