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

A block of aluminium occupies a volume of 11.1 mL and weighs 43 g. What is it's density? Give answer with one decimal.

Answers

Answer:

Density = 3.9 g/ mL

Explanation:

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

[tex]Density = \frac{mass}{volume} [/tex]

From the question

mass = 43 g

volume = 11.1 mL

Substitute the values into the above formula and solve for the density

That's

[tex]Density = \frac{43}{11.1} \\ = 3.873873...[/tex]

We have the final answer as

Density = 3.9 g/ mL to one decimal place

Hope this helps you

The scientific method is "flexible". What does that mean? Why is that
important and necessary?

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.

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

1. A rectangular block of aluminum metal has a mass of 2540 g. The block of
aluminum has dimensions equal to 9.4 cm, 8.7 cm and 11.5 cm. From the data
provided, what is the density of aluminum?

Answers

Answer:

Hey there!

Density=Mass/Volume

Volume: 9.4x8.7x11.5

Volume: 940.47 cm^3

Density of aluminum

2540/940.47, or 2.7 grams/cm^3

Let me know if this helps :)

True or False ... In a chemical change, a new
substance is formed.

Answers

The answer is true the answer has to be 20 words long so true true true true true true

How can a new element be made?

Answers

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.

Round 1047.78 to three sig figs
105
1048
1050.00 and 1050 PLEASE HELP

Answers

Answer:

105

Explanation:

round 104 to the nearest whole number...since 7 is greater than 5 4 goes up..but if 7 is less than 5,4 remains the same

what is molecular formula of silicon dioxide by criss cross method​

Answers

Answer:

SiO2

Explanation:

4 2

Si \ / O

/ \

=>Si2O4

Cancelling 2 and 4

=>SiO2

Answer:

SiO2

Explanation:

You're welcome

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.

Look at the four chemical reactions. Reaction 1: 2H2 + O2 → 2H2O Reaction 2: 2NaCl → 2Na + Cl2 Reaction 3: CaO + H2O → Ca(OH)2 Reaction 4: 4Fe + 3O2 → 2Fe2O3 Which statement identifies the reaction that is different from the rest and explains correctly why it is different? (1 point) Reaction 2, because a single reactant is decomposed Reaction 1, because two reactants have decomposed Reaction 2, because a single ion is replaced in a compound Reaction 1, because two ions have interchanged their positions

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.

Rank the nonmetals in each set from most reactive (1) to least reactive (3).
Neon:
Selenium:
Fluorine:

Answers

Answer:

Neon: 3

Selenium: 2

Fluorine: 1

Explanation: The periodic trend of reactivity depends on whether the elements are metals or nonmetals.

Answer:

Neon:

3

Selenium:

2

Fluorine:

1

Explanation:

Just got them correct on Edge.

A car travels at a speed of 80.0 miles/hour. What
is the speed of the car in meters/second (m/s)?

Answers

Answer: 1.3

Explanation: 80 divided by 60 is 1.33333333333

Which of the following releases matter? A.engaging a car exhaust system B.picking up iron filings with a magnet C.turbines spinning in a power plant D.turning on an electric hot plate

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.

WHAT ACTIVITIES RELEASE MATTER?

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

N.B: Other activities like picking up iron filings with a magnet (magnetic field), turbines spinning in a power plant, and turning on an electric hot plate (heat) do not release matter.

Learn more: https://brainly.com/question/13349049

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

Express in scientific notation.
1.24 x 10^6/
6.2 x 10^-3

Answers

Answer:

1.24*10^6=1.24*1000000=1240000

6.2*10^-3=6.2*0.001=0.0062

Explanation:

Hope it is helpful for you

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Allie rode her bike for 396 minutes. How many hours did she ride?

Answers

An hour is 60 minutes. So it is 6 hours and the remaining 36 minutes! Hope this helps

BRAIBLIEST BRAINLIEST BRAINLIEST BRAINLIEST BRAINLIEST BRAINLIEST BRAINLIEST BRAINLIEST BRAINLIEST BRAINLIEST

please answer quickly thank you

Answers

Answer:

13

Explanation:

Answer:

it is 13

Explanation:

Which question cannot be answered by science? (4 points)

a
Why do rainbows appear after rain storms?

b
Which plants grow in the desert?

c
Why should endangered animals be protected?

d
What is the hardest element on Earth?

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.

Species of some animals and plants become endangered for two main reasons first one is  loss of habitat or living due to destruction of forest and loss of genetic variation due to some evolution. An species is a type of organism or plant or animal that is threatened by extinction.

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

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is a freezing point a phusical or chemical property

Answers

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:

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!

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
top of water or will it sink? (Density of water is 1.0 g/mL)
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.

Therefore, in light of the fact that water is denser than liquid, the liquid will float on it.

Learn more about density, here:

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Isabella wants to determine the mass of a metal block what is the SI unit for mass

Answers

Answer:

Kilogarm

Explanation:

Just took a test on this!

A certain atom has a nucleus containing six protons and eight neutrons and has six electrons orbiting the nucleus. This atom is a form of the element — ¡silicon ¡carbon ¡magnesium ¡calcium

Answers

Answer:

Carbon

Explanation:

The way to identify an element is by looking at the number of protons the atom has.  Every element has its own atomic number.  This atom has 6 protons.  If you look at the periodic table, you can see that the atom with the atomic number of 6 is carbon.

As the atom has six protons in it's nucleus, the atom is a form of  element of carbon.

What is an atom?

An atom is defined as the smallest unit of matter which forms an element. Every form of matter whether solid,liquid , gas consists of atoms . Each atom has a nucleus which is composed of protons and neutrons and shells in which the electrons revolve.

The protons are positively charged and neutrons are neutral and hence the nucleus is positively charged. The electrons which revolve around the nucleus are negatively charged and hence the atom as a whole is neutral and stable due to presence of oppositely charged particles.

Atoms of the same element are similar as they have number of sub- atomic particles which on combination do not alter the chemical properties of the substances.

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If an ice cube has a mass of 25 grams and it melts, what would the mass of the liquid water be?

Answers

Answer:25grams

Explanation: the mass stays the same even when it changes form

Answer: The mass of the liquid would be 25 grams because mass does not change, even when changing form.

Which event occurs during high tide? Al of Earth's ocean levels rise. The moon's orbit is closer to Earth The moon's gravity causes Earth's crust and water to bulge. Earth's crust and water are being pulled in opposite directions by the Sun and moon. ​

Answers

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

Explanation: I took the test

Answer:

B The moon’s orbit is closer to Earth.

Explanation:

I took the test on Edge :)

What must happen for a natural resource to become a synthetic material?(1 point) It needs to go through a chemical reaction. It needs to be pounded very thin. It needs to be dried out. It needs to go through a phase change.

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.

In the 18th century, Italian biologist Lazzaro Spallanzani designed an experiment supporting the hypothesis that gastric juices are partly responsible for digesting food. Which human illness did Spallanzani's work eventually shed light on? intestinal ulcers mouth ulcers stomach ulcers skin ulcers

Answers

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

In the 18th century, Italian biologist Lazzaro Spallanzani designed an experiment supporting the hypothesis that gastric juices are partly responsible for digesting food. The human illness which Spallanzani's work eventually shed light on Stomach ulcers.

What is pH ?

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

What is Gastric acid ?

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.

Thus from the above conclusion we can say that In the 18th century, Italian biologist Lazzaro Spallanzani designed an experiment supporting the hypothesis that gastric juices are partly responsible for digesting food. The human illness which Spallanzani's work eventually shed light on Stomach ulcers.

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Which is more important in a chemical formula, the symbol or the subscript or both?

Answers

Answer:

The symbol is more important in a chemical formula

Explanation:

Which chemistry studies non carbon based structures?
O Biochemistry
Analytical Chemistry
O Inorganic Chemistry
Organic Chemistry

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.

when plants and animals die and decay, they become? answers useless ,fertilizer ,harmless, bluish-black

Answers

Answer:fertilizer

Explanation:

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