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


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Stomach ulcers, I've read it online and I take the test

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pH is used to measure whether the substance is acidic, basic or neutral and the range is 0 - 14.

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Gastric acid is also called gastric juice or stomach acid it is made up of water, enzymes, hydrochloric acid, electrolytes. The pH of gastric acid is between 1 and 3 that means it is acidic is nature.

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formula for density of liquid = mass ÷ vol

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= 0.778 g/cm³ ( 3sf )

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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

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= 0.778 g/cm³

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Answer:

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Answer:

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Selenium:

2

Fluorine:

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Answers

Answer:

Hey there!

Density=Mass/Volume

Volume: 9.4x8.7x11.5

Volume: 940.47 cm^3

Density of aluminum

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Let me know if this helps :)

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Answers

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Answers

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A- engaging a car exhaust system

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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.

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According to this question, engaging a car exhaust system releases matter into the atmosphere in form of carbon monoxide (CO).

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

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Answers

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Answers

Answer:

Inorganic chemistry

Explanation:

Meaning: Inorganic chemistry studies substances that do not contain carbon; therefore, it studies non carbon based structure.

Answer:

Inorganic chemistry

Explanation:

Inorganic chemistry studies the chemical compounds in non-living things, things that do not contain carbon

Organic chemistry covers things that do contain carbon.

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The symbol is more important in a chemical formula

Explanation:

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Answer:

Over 200 mph

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

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Answer:

SiO2

Explanation:

4 2

Si \ / O

/ \

=>Si2O4

Cancelling 2 and 4

=>SiO2

Answer:

SiO2

Explanation:

You're welcome

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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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