A 0.380 kg sample of aluminum (with a specific heat of 910.0 J/(kg x K)) is heated to 378 K and then placed in 2.40 kg of water that is at 293 K. If the system is left to reach its equilibrium state, what will the equilibrium temperature be? Assume that no thermal energy is lost to the external environment. Use 4.186 J/(g x K) as the specific heat of water.

Answers

Answer 1

Answer:

The equilibrium temperature of the system is 276.494 Kelvin.

Explanation:

Let consider the system formed by the sample of aluminium and water as a control mass, in which the sample is cooled and water is heated until thermal equilibrium is reached. The energy process is represented by First Law of Thermodynamics:

[tex]Q_{water} -Q_{sample} = 0[/tex]

[tex]Q_{water} = Q_{sample}[/tex]

Where:

[tex]Q_{water}[/tex] - Heat received by water, measured in joules.

[tex]Q_{sample}[/tex] - Heat released by the sample of aluminium, measured in joules.

Given that no mass is evaporated, the previous expression is expanded to:

[tex]m_{w}\cdot c_{p,w}\cdot (T-T_{w}) = m_{s}\cdot c_{p,s}\cdot (T_{s}-T)[/tex]

Where:

[tex]m_{s}[/tex], [tex]m_{w}[/tex] - Mass of water and the sample of aluminium, measured in kilograms.

[tex]c_{p,s}[/tex], [tex]c_{p,w}[/tex] - Specific heats of the sample of aluminium and water, measured in joules per kilogram-Kelvin.

[tex]T_{s}[/tex], [tex]T_{w}[/tex] - Initial temperatures of the sample of aluminium and water, measured in Kelvin.

[tex]T[/tex] - Temperature which system reaches thermal equilibrium, measured in Kelvin.

The final temperature is now cleared:

[tex](m_{w}\cdot c_{p,w}+m_{s}\cdot c_{p,s})\cdot T = m_{s}\cdot c_{p,s}\cdot T_{s}+m_{w}\cdot c_{p,w}\cdot T_{w}[/tex]

[tex]T = \frac{m_{s}\cdot c_{p,s}\cdot T_{s}+m_{w}\cdot c_{p,w}\cdot T_{w}}{m_{w}\cdot c_{p,w}+m_{s}\cdot c_{p,s}}[/tex]

Given that [tex]m_{s} = 0.380\,kg[/tex], [tex]m_{w} = 2.40\,kg[/tex], [tex]c_{p,s} = 910\,\frac{J}{kg\cdot K}[/tex], [tex]c_{p,w} = 4186\,\frac{J}{kg\cdot K}[/tex], [tex]T_{s} = 378\,K[/tex] and [tex]T_{w} = 273\,K[/tex], the final temperature of the system is:

[tex]T = \frac{(0.380\,kg)\cdot \left(910\,\frac{J}{kg\cdot K} \right)\cdot (378\,K)+(2.40\,kg)\cdot \left(4186\,\frac{J}{kg\cdot K} \right)\cdot (273\,K)}{(2.40\,kg)\cdot \left(4186\,\frac{J}{kg\cdot K} \right)+(0.380\,kg)\cdot \left(910\,\frac{J}{kg\cdot K} \right)}[/tex]

[tex]T = 276.494\,K[/tex]

The equilibrium temperature of the system is 276.494 Kelvin.

Answer 2

Answer:296

Explanation:

I got it right :) and mark me brainlest please


Related Questions

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b
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c
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Answers

Answer:

C

Explanation:

The option C question has not a specific answer related to pure science.

The question cannot be answered by science is Why should endangered animals be protected? . Option C is correct.

What are  endangered animals?

An endangered species or the animals or plants which are at the risk of the extinction is a type of organism or animal or plant  that is threatened by extinction.

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Answer:

You have to change the number of protons in the nucleus. While it is possible, it requires bombarding and putting together elements, which creates high energy particle accelerators.

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Answers

A- engaging a car exhaust system

Engaging a car exhaust system releases matter.

WHAT IS MATTER?

Matter is any substance that posseses weight and occupies an amount of space. Going by this definition, almost everything in our environment can be referred to as matter.

Matter, in chemistry terms, can include elements, compounds, molecules, solids, gases etc. However, radiations, light emissions, heat cannot be regarded as matter.

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Answer:

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Explanation:

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Explanation:

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1048
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Answer:

105

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Neon:
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Answers

Answer:

Neon: 3

Selenium: 2

Fluorine: 1

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Answer:

Neon:

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Selenium:

2

Fluorine:

1

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Answer: B. the moon's orbit is closer to the earth.

Explanation: I took the test

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Answer:

SiO2

Explanation:

4 2

Si \ / O

/ \

=>Si2O4

Cancelling 2 and 4

=>SiO2

Answer:

SiO2

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You're welcome

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Just took a test on this!

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Answers

Answer:

Reaction 2, because a single reactant is decomposed

Explanation:

It's the only one where the product was decomposed while the others became one. I took the quiz and it was correct.

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Answer:

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Answer:

Inorganic chemistry

Explanation:

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Answers

Answer: 1.3

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Answers

Answer:

Hey there!

Density=Mass/Volume

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Answers

Answer:

1.24*10^6=1.24*1000000=1240000

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Explanation:

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Answers

Answer:

It needs to go through a chemical reaction

Explanation:

Natural resources undergoes chemical reaction to become synthetic materials.

Natural material undergoes several chemical changes to chnage the characterstics of the resources into synthetic material.

Some examples of synthetic materials are medicines, plastics, and new fuels which are extracted from trees or plants, natural fibers, and petroleum.

Hence, the correct option is "It needs to go through a chemical reaction".

Answer:

It needs to go through a chemical reaction.

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Answers

Answer:

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Explanation:

The density of a substance can be found by using the formula

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From the question

mass = 43 g

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Answer:

The symbol is more important in a chemical formula

Explanation:

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Answer:

Both extensive and intensive properties are physical properties, which means they can be measured without changing the substance's chemical identity. For example, the freezing point of a substance is a physical property: when water freezes, it's still water (H2O)—it's just in a different physical state.

Explanation:

uestion 3 (1 point)
1. Calculate the density of a liquid that has mass of 14.0g and volume of 18.0 cm? Will this liquid float on
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I

Answers

formula for density of liquid = mass ÷ vol

= 14.0 g ÷ 18.0 cm³

= 0.77778 g/cm³ ( 5sf)

= 0.778 g/cm³ ( 3sf )

18.0 cm³ is the same as 18.0 ml

Therefore, the liquid will float on water as the water is denser than the liquid.

18.0 cm³ is equivalent to 18.0 ml, in light of the fact that water is denser than liquid, the liquid will float on it.

What is the density of a liquid?

Density is defined as d = M/V, where M stands for mass and V for volume. The unit of density that is most frequently used is grams per cubic centimeter.

The formula for liquid density is mass divided by volume.

= 14.0 g ÷ 18.0 cm³

= 0.77778 g/cm³

= 0.778 g/cm³

The same procedure used to determine a solid's density is used to determine a liquid's density. Calculate the fluid's mass, then its volume, then divide mass by volume.

To determine the fluid's mass, weigh the fluid in the container, pour it out, weigh the empty container, and then subtract the empty container's mass from the mass of the filled container.

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Answer:25grams

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Answers

Answer:

we can reach the same conclusions by applying different experimental and observational procedures

Explanation:

The scientific method is a process that can be summarized in the following steps: 1-to raise a question, 2-to make a hypothesis, 3-to obtain data from observations and/or experiments, and finally, 4-to obtain conclusions that enable to confirm (or reject) the hypothesis. The scientific method is flexible because it is not necessary to follow 'stringent' guidelines in order to reach the same conclusions. In consequence, the predictions derived from such results can be tested again to determine the veracity of the results.

If a reaction occurs and there were 10 g of Ca
reacting with 20 grams of water, and 5 grams of H2
was produced, how much Ca(OH)2 was produced?
Show your work.
Ca + H2O - Ca(OH)2 + H2

Answers

Answer:

18.52g

Explanation:

(relative atomic masses: H = 1.01, O = 16.00, Ca = 40.08)

Equation (balanced):

Ca + 2H2O -> Ca(OH)2 +H2

First, calculate the number of moles of 10g calcium

No. of moles of Ca  = 10/40.08 = 0.25 mol

Then, calculate the  number of moles of 20g water

No of moles of H2O = 1.11 mol

According to the balanced equation, 1 mole of calcium reacts with 2 moles of H2O completely.  Therefore, H2O is in excess.

So, 1 mole of calcium reacts with water to form 1 mole of Ca(OH)2 (according to the mole ratio shown in the balanced equation)

Therefore, 0.25 mol of Ca(OH)2 is produced.

Mass of Ca(OH)2 produced = no. of moles x molar mass = 0.25 x (40.08 + 16 + 16 + 1.01 + 1.01) = 18.52g

Good luck!

The public is not yet able to purchase cars powered by hydrogen fuel cells because engineers have to determine how the cars perform based on which scenario? on racetracks in real-world conditions in flooded environments on closed courses
A(on racetracks
B(in real-world conditions
C(in flooded environments
D(on closed courses

Answers

Answer:

It’s B just did it

Explanation:

Answer:

B.

Explanation: i just tookthe quiz ya welcome.

How fast can wind speeds get inside a tornado?

Answers

Answer - It is generally believed that tornadic wind speeds can be as high as 300 mph in the most violent tornadoes.

Answer:

Over 200 mph

Explanation:

I took the k12 quiz and looked at a weather website and it said tht was the answer

What is the mass of a 500.00 mL sample of seawater with a density of 1.025 g/mL?

Answers

Answer:

Mass of seawater = 512.5 gram

Explanation:

Given:

Volume of seawater = 500 ml

Density of seawater = 1.025 g/ml

Find:

Mass of seawater

Computation:

Mass of seawater = Volume of seawater × Density of seawater

Mass of seawater = 500 × 1.025

Mass of seawater = 512.5 gram

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