Chapter 3: Q. 3.56 (page 87)

A sports trainer applies an ice bag to the back of an injured athlete. Calculate the beat, in kilocalories, that is absorbed if $145 g$ of ice at role="math" localid="1651726770488" $0 . 0^{\circ} C$ is placed in an ice bag, melts, and warms to body temperature of $37 . 0^{\circ} C$ .

Short Answer

Expert verified

The total beat in Kilocalories if it absorbed $145 g$ of ice and warms to body temperature of $37 . 0^{\circ} C$ is $17 K c a l$

Step by step solution

Given Information.

Given Information are as follow as:

Mass of ice $= 145 g$

Initial temperature $= 0 . 0^{\circ} C$

Warms to temperature $= 37 . 0^{\circ} C$

Find the Heat Change.

The total energy is equal to the sum of the heat required to melt the ice and the heat required to raise the temperature to $37^{\circ} C$

Mass of ice is $145 g$

Heat of fusion of water is $80 c a l / g$

Calculate the energy required to melt $145 g$ of ice using the following formula:

$H e a t c h a n g e = m a s s \times h e a t o f f u s i o n = 145 g \times 80 c a l / g = 11600 c a l$

Find the Heat Absorbed.

Calculate the energy required to warm the liquid from $0^{\circ} C$ to $37^{\circ} C$ using the following formula:

$H e a t = m a s s \times t e m p e r a t u r e c h a n g e \times s p e c i f i c h e a t = 145 g \times (37 . 0^{\circ} C - 0^{\circ} C) \times 1 c a l / g^{\circ} C = 5365 c a l$

Calculate the Total Energy.

$T o t a l H e a t e n e r g y = 11600 c a l + 5365 c a l = 16965 c a l \times \frac{1 K c a l}{1000 c a l} = 17.0 K c a l$

The Total Heat absorbed will be $17.0 K c a l$

Unlock Step-by-Step Solutions & Ace Your Exams!

Full Textbook Solutions
Get detailed explanations and key concepts
Unlimited Al creation
Al flashcards, explanations, exams and more...
Ads-free access
To over 500 millions flashcards
Money-back guarantee
We refund you if you fail your exam.

Start your free trial

Over 30 million students worldwide already upgrade their learning with Vaia!

Recommended explanations on Chemistry Textbooks

View all explanations

What do you think about this solution?

We value your feedback to improve our textbook solutions.

A sports trainer applies an ice bag to the back of an injured athlete. Calculate the beat, in kilocalories, that is absorbed if $145 g$ of ice at role="math" localid="1651726770488" $0 . 0^{\circ} C$ is placed in an ice bag, melts, and warms to body temperature of $37 . 0^{\circ} C$ .

Short Answer

Step by step solution

Given Information.

Find the Heat Change.

Find the Heat Absorbed.

Calculate the Total Energy.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Chemistry Textbooks

Kinetics

Ionic and Molecular Compounds

Inorganic Chemistry

Chemical Reactions

Making Measurements

Nuclear Chemistry

Study anywhere. Anytime. Across all devices.

A sports trainer applies an ice bag to the back of an injured athlete. Calculate the beat, in kilocalories, that is absorbed if 145gof ice at role="math" localid="1651726770488" 0.0∘C is placed in an ice bag, melts, and warms to body temperature of 37.0∘C.

Short Answer

Step by step solution

Given Information.

Find the Heat Change.

Find the Heat Absorbed.

Calculate the Total Energy.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Chemistry Textbooks

Kinetics

Ionic and Molecular Compounds

Inorganic Chemistry

Chemical Reactions

Making Measurements

Nuclear Chemistry

Study anywhere. Anytime. Across all devices.

A sports trainer applies an ice bag to the back of an injured athlete. Calculate the beat, in kilocalories, that is absorbed if $145 g$ of ice at role="math" localid="1651726770488" $0 . 0^{\circ} C$ is placed in an ice bag, melts, and warms to body temperature of $37 . 0^{\circ} C$ .