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Examine the illustration on page $520 .$ Use a kinetic molecular view to explain why it takes more calories of heat to raise the water temperature in the third beaker by $5^{\circ} \mathrm{C}$than it does to raise the temperature of the water in the second beaker by $7^{\circ} \mathrm{C}$

Temperature is a measure of the average kinetic energy of the particles of water in the beakers. It takes more energy to increase the temperature of the third beaker because there are many more particles of water, making the amount of thermal energy needed to increase the temperature greater even though there is less temperature change.

Chemistry 102

Chemistry 101

Chapter 19

Measuring Energy

Section 3

Calorimetry Calculations

Thermodynamics

Thermochemistry

Carleton College

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University of Kentucky

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Lectures

03:07

A liquid is a nearly incom…

04:38

A liquid is a state of mat…

01:41

Beaker $A$ contains water …

01:07

Consider two glasses, one …

05:03

A glass beaker of mass 400…

08:04

Repeat the preceding probl…

00:38

Does it take more thermal …

02:17

If you wish to warm 50 $\m…

02:59

Use the same formula to ca…

07:51

She latent heat of vaporiz…

01:15

Two beakers of water, $A$ …

02:54

Use the kinetic molecular …

this question asks you to consider a figure that is found on page 507. The figure shows three different amounts of water and three different changes in temperature, Where the last figure on page think I said five or seven on 5 20 has the largest amount of water 20 g, while the second figure has 5 g. So we have something like this. 20 g, then the second figure has 2 g to calculate the amount of heat required to raise the temperature five degrees Celsius for 5 g. It's going to be the specific heat of water multiplied by the mass, which is actually this wrong. 20 g here and 50 g here, multiplied by the mass multiplied by the change in temperature, gives us 140 calories. Then over here with the 50 g we've got. The specific heat of water multiplied by the mass multiplied by the change in temperature of just five degrees gives us the 250. The explanation using the kinetic molecular theory is we have more molecules here. We have more H 20 molecules that need to increase their average kinetic energy. We have more than double, while the temperature change is less than half, half of seven would be 3.5. Actually, more than half half of seven would be 3.5. But we want to do a full five change. So we're relatively speaking. We have more molecules that need to increase their average kinetic energy, and we do so by not raising the temperature well by raising the temperature five degrees, which is less than the seven degrees. But because of the larger mass, we have a mawr of an increase in the mass than we have of a decrease in the temperature, so that's why it requires more energy.

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