A chunk of aluminum at 91.4°C was added to 200.0 g of water at 15.5°C. The specific heat of aluminum is 0.897 J/g°C, and the specific heat of water is 4.18 J/g°C. When the temperature stabilized, the temperature of the mixture was 18.9°C. Assuming no heat was lost to the surroundings, what was the mass of aluminum added?

Answers

Answer 1
Answer:

Final answer:

The mass of the aluminum added is calculated through the principle of conservation of energy, specifically thermal energy. By considering the heat lost by the aluminum and gained by the water, we can rearrange the equation for heat transfer and find that the mass of the aluminum is approximately 37.9 grams.

Explanation:

In this physics question, we're looking at a thermodynamic process involving a chunk of aluminum and water. Given the known values of their respective specific heats, the mass of water, and their final equilibrium temperature, we're aiming to find the mass of the aluminum.

We begin by understanding that in a closed system, the heat gained by one body is equal to the heat lost by another. In this case, the aluminum is losing heat, and the water is gaining it. The equation for heat transfer (Q = mcΔT), where m is mass, c is specific heat, and ΔT is change in temperature.

The heat gained by the water = mass of water * specific heat of water * change of temperature in water = 200g * 4.18J/g°C * (18.9°C - 15.5°C) = 2836.4J.

This is equal to the heat lost by the aluminum. Solving the analogous heat equation for the mass of the aluminum gives us the answer:

m = Q / (c * ΔT) = 2836.4J / (0.897J/g°C * (91.4°C - 18.9°C)) = 37.9g

So the mass of the aluminum is approximately 37.9 grams.

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Related Questions

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Why is the Atlantic ocean said to operate like a conveyor belt?

Answers

The Atlantic Ocean is said to operate like a conveyor belt because of the moving warm surface waters downward and forcing cold, nutrient rich waters upwards. Like a conveyor belt, thermohaline circulation moves nutrients from one part of the ocean to another. The seas near Greenland and Norway are cold. When some parts of it freezes it leaves salt behind. And the salty and cold water become denser and sinks to the bottom of the sea {located in the North Atlantic Deep Water} Which is why the Atlantic is the primary driving forces of the conveyor belt. 

Planets in our solar system do not revolve around the sun in perfect circles. Their orbits are more like ovals. Which term do scientist use to describe these orbits

Answers

Planets in our solar system do not revolve around the sun in perfect circles. They revolve in the elliptical orbits.

What is the solar system?

The solar system consists of the planet's satellites, as well as numerous comets, asteroids, and meteoroids, as well as the interplanetary medium.

Planets in our solar system do not revolve around the sun in perfect circles. They revolve in the elliptical orbits.

Hence, option D is correct.

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Answer:

It is most likely the word elliptical.

Explanation:

Usually the term elliptical refers to the oval-like shape of a substance or path of an object.  The question states, "Planets in our solar system do not revolve around the sun in perfect circles. Their orbits are more like ovals."  Because the planets orbit around the sun in an oval-like path, those orbits can be described as elliptical.  Scientists also normally use this word to describe the same thing; Therefore, your answer is elliptical.

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Answers

chemical
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Which of the following is the best example of a proper hypothesis? Orange popsicles taste sweeter than grape popsicles. If two objects are dropped at the same height, the heavier object will hit the ground first. Children who wear backpacks do better academically. I think there is no effect on hearing if you listen to loud music only three hours a day.

Answers

Answer:

If two objects are dropped at the same height, the heavier object will hit the ground first.

Explanation:

A proper hypothesis has the form:

"If ... , then ... ".

Now, why the other sentence aren't hypothesis?

  • Orange popsicles taste sweeter than grape popsicles.

This sentence its an OPINION. It may be true that, for the speaker/writer, orange popsicles taste sweeter, but this is an subjective opinion, and difficult to test.

  • Children who wear backpacks do better academically.

This sentence its an STATEMENT. If we wish to make an proper hypothesis, it should take the form:

If children wear backpacks, then they do better academically.

  • I think there is no effect on hearing if you listen to loud music only three hours a day.

This sentence its another OPINION.  This opinion COULD be tested, but the proper way of write it as an hypothesis would be:

If someone listed to loud music only three hours a day, then there shoul be no effect on his/her hearing.

Answer:

Answer is:If two objects are dropped at the same height, the heavier object will hit the ground first.

Explanation:

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Answers

Chemistry is a field of science deals with chemicals, reactions, and their structure. Chemistry is the discipline in which geology, material, and nutrition are studied.

What is chemistry?

The field of science deals with the substances of matter its composition and the checking of their reactions and property of a chemical reaction.

What is geology?

The field of science interact with the physical structure of the earth, and history of the earth's surface, and the processes already done.

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Chemistry: geology, materials and nutrition uses the foundations of chemistry to develop their applications, predict results, provide explanations and base their discoveries.

A train whistle is at a higher pitch (note) as it approaches you and then drops to a lower pitch as it moves away. This effect is called?

Answers

the effect is called The doppler effect
The effect being mentioned is called "The doppler effect".