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# five metal samples, with equal masses, are heated to 200oc. each solid is dropped into a beaker containing 200 ml 15oc water. which metal will cool the fastest?

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## Five metal samples, with equal masses, are heated to 200oC. Each solid is dropped into a beaker containing 200 ml 15oC water. Which metal will cool the fastest? A) aluminum B) copper Eliminate C) gold D) platinum

Part 1) Which metal will cool the fastest?To answer this question, we should have a look at the formula of the heat flow rate, which says how fast a material is able to heat/cool: frac{Delta Q}{Delta t} = -k frac{A Delta T}{x} where:Delta Q is the heat exchangedDelta t is the time intervalk is thermal conductivity of the materialA the  surface where the exchange of heat occursDelta T the variation of temperaturex is the thickness of the materialWe see that the heat flow rate  frac{Delta Q}{Delta t} is linearly proportional to k, the thermal conductivity of the material. So, the larger k, the fastest the metal will cool. If we have a look at the thermal conductivity of each metal, we find:- Aluminium: 237 W/(mK)- Copper: 401 W/(mK)- Gold: 314 W/(mK)- Platinum: 69 W/(mK)Therefore, copper is the material with highest heat flow rate, so the metal which cools fastest.Part 2) Which sample of copper demonstrates the greatest increase in temperatureTo solve this part, we can have a look at how the amount of heat exchanged Q is related to the increase in temperature Delta T:Q=m C_S Delta Twhere m is the mass and Cs the specific heat of the material. Re-arranging the formula, we getDelta T= frac{Q}{m C_s} therefore, we see that the increase in temperature is inversely proportional to the mass m. This means that the block that will show the largest increase in temperature is the block with the smallest mass, so the correct answer is A) 0.5 kg. | Snapsolve

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Five metal samples, with equal masses, are heated to 200oC. Each solid is dropped into a beaker containing 200 ml 15oC water. Which metal will cool the fastest? A) aluminum B) copper Eliminate C) gold D) platinum

Part 1) Which metal will cool the fastest?

To answer this question, we should have a look at the formula of the heat flow rate, which says "how fast" a material is able to heat/cool:

ΔQΔt = − k AΔTx where: Δ Q

is the heat exchanged

Δ t

is the time interval

k is thermal conductivity of the material

A the  surface where the exchange of heat occurs

Δ T

the variation of temperature

x is the thickness of the material

We see that the heat flow rate

ΔQΔt

is linearly proportional to k, the thermal conductivity of the material. So, the larger k, the fastest the metal will cool.

If we have a look at the thermal conductivity of each metal, we find:

- Aluminium: 237 W/(mK)

- Copper: 401 W/(mK)

- Gold: 314 W/(mK)

- Platinum: 69 W/(mK)

Therefore, copper is the material with highest heat flow rate, so the metal which cools fastest.

Part 2) Which sample of copper demonstrates the greatest increase in temperature

To solve this part, we can have a look at how the amount of heat exchanged Q is related to the increase in temperature

Δ T : Q = m CS Δ T

where m is the mass and Cs the specific heat of the material. Re-arranging the formula, we get

Δ T = QmCs

therefore, we see that the increase in temperature is inversely proportional to the mass m. This means that the block that will show the largest increase in temperature is the block with the smallest mass, so the correct answer is A) 0.5 kg.

4.6

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## Science Study Guide: Thermal Energy...

Science Study Guide: Thermal Energy... 96%

6 9th Science, Physics Elizabeth R 2 years

## 25 Qs

1. Multiple-choice 30 seconds Q.

A new type of oven that cooks food quickly and more completely is the convection oven. The key difference in this type of oven and a regular oven is that it. . .

circulates the hot air.

cooks at higher temperatures.

irradiates the food at the same time.

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Substance Specific Heat (J kg-1 K-1)

Aluminum 900 Copper 390 Brass 380 Silver 230 Platinum 130

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The copper pot would heat faster because it has a lower specific heat value.

The copper pot would heat slower because it has a lower specific heat value.

The copper pot would heat faster because it has a higher specific heat value.

The copper pot would heat slower because it has a higher specific heat value.

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Substance Specific Heat (J kg-1 K-1)

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The balls are made of the same material.

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The second ball is made of a material with a higher specific heat.

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The silver pot absorbs heat from the surroundings in the room.

The silver pot reflects heat into the water and keeps it warm longer.

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the lake is at a lower temperature than the cup of hot water.

the lake is at a higher temperature than the cup of hot water.

the lake contains less mass and heat than the cup of hot water.

the lake contains more mass and more heat than the cup of hot water.

12. Multiple-choice 30 seconds Q.

A 1-kg iron frying pan is placed on a stove. The pan increases from 20°C to 250°C. If the same amount of heat is added to a pan with a greater specific heat, what can you predict about the temperature of this second pan?

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James 11 month ago

Guys, does anyone know the answer?