Physics for Scientists and Engineers, Technology Update (No access codes included)
Physics for Scientists and Engineers, Technology Update (No access codes included)
9th Edition
ISBN: 9781305116399
Author: Raymond A. Serway, John W. Jewett
Publisher: Cengage Learning
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Chapter 20, Problem 20.1QQ

(a)

To determine

The order of the samples from highest to lowest temperature.

(a)

Expert Solution
Check Mark

Answer to Problem 20.1QQ

The temperature order is iron>glass>water .

Explanation of Solution

Given info: The mass of each sample is 1.0kg temperature of each sample is 10.0°C . The energy given to each sample is 100J

The specific heat of iron is 448J/kg°C , the specific heat of water is 4186J/kg°C , the specific heat of glass is 837J/kg°C

The formula to calculate energy is,

E=mcΔT (1)

Here,

E is the energy.

m is the mass of the sample.

ΔT is the change in the temperature.

c is the specific heat of the sample.

From equation (1), formula to calculate the change in the temperature is

E=mcΔTΔT=Emc (2)

Form equation (2), the change is temperature is inversely proportional to the specific heat. So larger the specific heat smaller is the change in temperature.

The specific heat of water is highest so the temperature change is the smallest. The specific heat of glass is less than water but greater than water so temperatures change in glass will be more than water but less than iron and the specific heat of iron is least so the temperature change in iron is most.

Conclusion:

Therefore, temperature order is iron>glass>water .

(b)

To determine

The rank of the samples from greatest to least amount of energy.

(b)

Expert Solution
Check Mark

Answer to Problem 20.1QQ

The order from greatest to least energy transferred is water>glass>iron .

Explanation of Solution

Given info: The mass of each sample is 1.0kg temperature of each sample is raised to 20.0°C . The energy given to each sample is 100J

The specific heat of iron is 448J/kg°C , the specific heat of water is 4186J/kg°C and the specific heat of glass is 837J/kg°C

The formula to calculate energy is,

E=mcΔT (3)

Here,

E is the energy.

m is the mass of the sample.

ΔT is the change in the temperature.

c is the specific heat of the sample.

Form equation (3), the energy of the sample is directly proportional to the specific heat of the sample as the mass of each sample and temperature change in the samples are same.

The higher is the specific heat higher the energy will be transferred into the sample for the given temperature increase. So the energy of water will be greatest as it has highest specific heat capacity then the energy of the glass as it has second highest specific heat capacity and then the energy will be least in iron as it has specific heat lowest.

Conclusion:

Therefore, the order from greatest to least energy transferred will be water>glass>iron .

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Chapter 20 Solutions

Physics for Scientists and Engineers, Technology Update (No access codes included)

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