A mountain climber experiences hypothermia (a critical lowering of the core temperature of the body that can lead to death) while attempting to summit Gasherbrum IV (a 7900-m high mountain in the Karakoram range on the boarder between China and Pakistan). Assume the climber has a central body mass of 51.0 kg and their core temperature has decreased to 31.5 C. Their climbing partner brings them a 1.95 L thermos of hot tea that is at a temperature of 78.0 C. Assume the heat capacity of the tea is that of water, 4.184 J g-1 C-1. and that its density is 1.00 g cm-3. Assume the average heat capacity of the human body is 3.470 J g-1 C-1. If the tea cools to 35.0 C inside the hypothermic body of the climber, how much does their internal temperature increase? Hints: 1. First calculate the heat lost by the tea as it cools 2. Use that heat to determine the temperature rise of the body Group of answer choices 1.27 C Not enough information is given to solve this problem 1.98 C 12.7 C

Chemistry
10th Edition
ISBN:9781305957404
Author:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste
Publisher:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste
Chapter1: Chemical Foundations
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A mountain climber experiences hypothermia (a critical lowering of the core temperature of the body that can lead to death) while attempting to summit Gasherbrum IV (a 7900-m high mountain in the Karakoram range on the boarder between China and Pakistan). Assume the climber has a central body mass of 51.0 kg and their core temperature has decreased to 31.5 C.

Their climbing partner brings them a 1.95 L thermos of hot tea that is at a temperature of 78.0 C.

Assume the heat capacity of the tea is that of water, 4.184 J g-1 C-1. and that its density is 1.00 g cm-3.

Assume the average heat capacity of the human body is 3.470 J g-1 C-1.

If the tea cools to 35.0 C inside the hypothermic body of the climber, how much does their internal temperature increase?

Hints:

1. First calculate the heat lost by the tea as it cools

2. Use that heat to determine the temperature rise of the body

Group of answer choices
1.27 C
Not enough information is given to solve this problem
1.98 C
12.7 C
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