A 12.6 g block of a metal intially at a temperature of 94.0 °C is added to a 100.0 g sample of water intially at 21.0 °C. If the final temperature of the water is 25.1 °C, determine the specific heat of the metal. Write all equations or formulas you use, and show as much of your work as you can.

Answers

Answer 1

Answer:

The specific heat of the metal is 0.0482 joules per gram-Celsius.

Explanation:

Block of metal is cooled by adding water and thermal equilibrium is reached. According to the First Law of Thermodynamics and by supposing the absence of energy and mass interaction of the system with surroundings, the change in the energy of the system is represented by:

[tex]\Delta U_{m} + \Delta U_{w} = 0[/tex]

Where [tex]\Delta U_{m}[/tex] and [tex]\Delta U_{w}[/tex] are the changes in internal energies of the block of metal and water, measured in joules.

The expression described above is now extended by applying the definition of internal energy for constant mass systems:

[tex]m_{m}\cdot c_{v,m}\cdot (T_{m,in}-T_{m,out}) + m_{w}\cdot c_{v,w}\cdot (T_{w,in}-T_{w,out})= 0[/tex]

Where:

[tex]m_{m}[/tex], [tex]m_{w}[/tex] - Masses of the block of metal and water, measured in grams.

[tex]c_{v,m}[/tex], [tex]c_{v,w}[/tex] - Specific heats of the block of metal and water, measured in joules per gram-Celsius.

[tex]T_{in, m}[/tex], [tex]T_{in, w}[/tex] - Initial temperatures of the block of metal and water, measured in Celsius.

[tex]T_{out, m}[/tex], [tex]T_{out, w}[/tex] - Final temperatures of the block of metal and water, measured in Celsius.

The specific heat of the metal is cleared in the equation:

[tex]c_{v,m} = -\frac{m_{w}\cdot c_{v,w} (T_{w,in}-T_{w,out})}{m_{m}\cdot (T_{m,in}-T_{m,out})}[/tex]

If [tex]m_{m} = 12.6\,g[/tex], [tex]m_{w} = 100\,g[/tex], [tex]c_{v,w} = 4,186\,\frac{J}{kg\cdot ^{\circ}C}[/tex], [tex]T_{w,in} = 21\,^{\circ}C[/tex], [tex]T_{m,in} = 94\,^{\circ}C[/tex] and [tex]T_{m,out} = T_{w,out} = 25.1\,^{\circ}C[/tex], the specific heat of the metal is:

[tex]c_{v,m} = -\frac{(100\,g)\cdot \left(4,186\,\frac{J}{g\cdot ^{\circ}C} \right)\cdot (25\,^{\circ}C-25.1\,^{\circ}C)}{(12.6\,g)\cdot (94\,^{\circ}C-25.1\,^{\circ}C)}[/tex]

[tex]c_{v,m} = 0.0482\,\frac{J}{kg\cdot ^{\circ}C}[/tex]

The specific heat of the metal is 0.0482 joules per gram-Celsius.


Related Questions

Which of the following statements is true? A. Isotopes of the same element have the same number of protons and neutrons. B. Isotopes have the same physical properties as the normal atom but different chemical properties. C. Isotopes have the same chemical properties as the normal atom but different physical properties. D. If an isotope of one element has the same atomic mass as another element, they will have the same properties.

Answers

Answer:

B

Explanation:

Isotopes have the same number of protons but different number of neutrons.

The true statement is,

Isotopes have the same chemical properties as the normal atom but different physical properties.

So, option C is correct one.

What is isotopes?The elements have same number of proton but different number of neutrons.Example: hydrogen, deuterium, tritium

Why isotopes of same elements have different physical properties?

The isotopes have different physical properties like freezing point , mass, melting or boiling point etc because they have different mass number .

learn about isotopes,

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Does the wavelength of light (R.O.Y.G.B.I.V.) affect a plant’s growth?


Answers

Answer:

YES

Explanation:

If we put a plant in a room with an orange light source, then it will grow more efficiently than a plant exposed to other colors.

Yes the wavelength of light (R.O.Y.G.B.I.V.) affect a plant’s growth.

What is wavelength of light ?

The wavelength of light can be defined as the distance between the two successive  troughs of the light wave, and  It is denoted by the Greek letter lambda (λ), simply it can be said as the distance between one crest or trough of one wave and the next wave is known as wavelength.

The Visible Light having wave length ranges from 400 nm to 700 nm and the spectrum of visible light has a number of colors having different wavelengths.

For example, The violet color have the shortest form of wavelength whereas the red color have the longest wavelength, wavelength is inversely proportional to the frequency like  longer the wavelength of the light have lower is the frequency.

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What happens when a chlorine atom gains an electron in its outer energy shell? A. It has an increase in the number of protons B. It becomes a negative ion C. It becomes a positive ion D. It has a decrease in the number of neutrons

Answers

Answer:

When a chlorine atom gains an electron, its outermost principal energy level achieves an octet. In this case, the ion has the same outermost shell as the original atom, but now that shell has eight electrons in it. Once again, the octet rule has been satisfied.

Explanation:

1. The Tyndall Effect is most useful for distinguishing between: *
a solute and a solvent
O a suspension and a solution
a colloid and a suspension
a colloid and a solution

Answers

Answer:

a colloid and a solution

Explanation:

When solute particles completely dissolve in a solvent, a true solution is formed. The solute particles in this case are so little that they can not be seen with naked eyes. A true solution does not scatter rays of light.

In a false solution, the solute particles are larger than the solute particles in true solutions but are not large enough to be seen with naked eyes. False solutions scatter rays of light. False solutions are also called colloids.

The major difference between a solution and a colloid is that colloids scatter light rays (Tyndall effect) while a true solution does not scatter light rays.

Can some of you guys give me the Hexane combustion equation?​

Answers

Answer:

C6H14 + 13/2O2 -------> 6CO2 + 7H2O

Explanations

combustion means burning with excess oxygen

An atom X has a proton number of 19 and relative atomic mass of 39.

(i) How many electrons, protons and neutrons are there in an atom of X?

(ii) How many electrons will there be in the outer energy level (shell) of an atom of X?

(iii) What is the electronic configuration of X?

Answers

Answer:

1) electron=19 Proton=19 Neutron=39-19=20

2) 1

3) in pic

Answer:

(i)electrons = 19; Protons = 19 Neutrons =39-19=20

(ii) 1

(iii) 2,8,8,1

Hope this helps.

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which of the following flouride has the highest lattice energy a)NaF b)KF c)CsF d)LiF

Answers

Answer:

The correct option is;

d) LiF

Explanation:

The Lattice energy of ionic compounds can be calculated using the modified Coulomb's law as follows;

[tex]U = \dfrac{k' \cdot Q_1\cdot Q_2}{r_0}[/tex]

Where;

Q₁ and Q₂ =  The ionic charges

k' = A constant depending on the ionic and valence configuration

r₀ = The distance between the two nucleus

Given the four compounds each of the metallic ions are of the same group (group one) have the same (only one) valence electron, and are combined to the same ion (fluoride ion) such that Q₂, is the same for all compounds, the factor that will influence the lattice energy more will be the r₀

The sizes of the atoms Li, Na, K and Cs increases as arranged as such Li has the least r₀, and therefore LiF the least  lattice energy

From chemistry test online, we have;

The lattice energy of LiF = -1045 kJ/mole

The lattice energy of NaF = -924 kJ/mole

The lattice energy of KF = -822 kJ/mole

The lattice energy of CsF = -737 kJ/mole.

What is the atomic number of copper

Answers

Answer:

29

Explanation:

Copper is a chemical element with the symbol Cu and atomic number is 29

Explanation:

clearly distinguish between science and technology​

Answers

Answer:

The words science and technology can and often are used interchangeably. But the goal of science is the pursuit of knowledge for its own sake while the goal of technology is to create products that solve problems and improve human life. Simply put, technology is the practical application of science.

Explanation:

Check the following images

Hope it helps!!!

Please mark it as Brainliest ( the crown icon)

What element is depicted by the following electron configuration:

(The electron configuration is in the image)




A. None of these
B. Oxygen
C. Chlorine
D. Sulfur

Answers

Explanation:

Your required answer is sulpher.

Hope it helps...

• Calculate relative formula masses from formulae and
from balanced equations?

Answers

Answer:

Explanation:

Simple molecules have very small masses. Instead of writing their actual masses in grams or kilograms, we usually use their relative formula masses. These are calculated using the chemical formula and the relative atomic masses of the elements in it.

Relative formula mass

Relative atomic mass has the symbol Ar. The Ar for an element is a measure of the mass of its atoms compared to the mass of carbon-12 atoms. The greater the Ar value, the more mass an element's atoms have. The periodic table shows the Ar value for each element. For example, the Ar for carbon is 12, and the Ar for magnesium is 24. This means that a magnesium atom has twice the mass of a carbon atom.

Calculating relative formula mass

Relative formula mass is given the symbol Mr. To calculate the Mr for a substance:

work out how many atoms of each element there are in the chemical formula

add together the Ar values for all the atoms of each element present

For example, the formula for carbon dioxide is CO2. It consists of one carbon atom (Ar = 12) and two oxygen atoms (Ar = 16):

Mr of CO2 = 12 + 16 + 16 = 44

It could also be calculated this way:

Mr of CO2 = (1 × 12) + (2 × 16) = 12 + 32 = 44

Ar and Mr values are just numbers. They have no units because they are relative masses.

Relative formula masses of ionic compounds

Ionic compounds such as sodium chloride do not exist as molecules. However, their relative formula masses are calculated in the same way. The formulae used are their empirical formulae.

which of the following is a scientific question about the cuttlefish?

Answers

Answer:

How does the cuddle fish change its colors?

Please tell me if I'm wrong.

Question number 4..​

Answers

Answer:

I think it's 7089 because that's my answer to your questions

What group is calcium and sodium in?

Answers

Answer:

Calcium: Alkaline Earth

Sodium: Alkali Metal

Hope it helps!

Answer:

Calcium is in Alkaline Earth

Sodium is in Alkali Metal

If an object's mass is 70 g, and its volume is 10cm cubed, what is its density?

Answers

The answer is 7,000

If an object's mass is 70 g, and its volume is 10cm cubed,  its density is 7 centimeter cube.

What is density?

The density of any solid substance is the unit of the area occupied by it in per centimeter of the cube of the volume in the given sample and calculated by dividing the mass and the volume of the compound unit will be centimeter cube.

The mass of the given object is 70 gram and the volume is given is 10 cm to find the density,

                       Density = mass of object / volume of object

substituting the value in the formula,

                 Density = 70 / 10

                 Density = 7 centimeter cube.

Therefore, the density of the given object will be 7 centimeter cube if  an object's mass is 70 g, and its volume is 10cm cubed.

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What are half reaction

Answers

Answer:

When you don't have a complete reaction.

Explanation:

Happens a lot between a solvent and a solute. The solute may not bind well with the solvent I.e. water.

If your talking about oxidation, the answer would be
the part of the reaction involving oxidation or reduction

What is the name of this compound? H single bonded to N with a pair of electron dots above and a single bond to H below, single bonded to the right to C with H above and below, and another C with H above, below, and right.

Answers

Answer:

Ethanamine (also known as ethylamine)

Explanation:

The compound that is requested by the question is ethanamine. Its trivial name is ethylamine.

It is a compound that contained the ethyl moiety (CH3CH2-) as well as the amine moiety (-NH2).

Ethanamine has a structure that can easily be determined by the statements in the question.

The structure of ethanamine is shown in the image attached.

Answer:

What is the name of this compound?

                                                                                    H       H

                                                                                    │       │

                                                               H ── N ── C ── C ── H

                                                                          │       │        │

                                                                          H      H        H

❌ A) ethanal

✔️B) ethylamine

❌ C) ethanoic acid

❌ D) methyl ethanoate

I Took Question Test And Have Day.

How many significant figures
are in this number?
107.051

Answers

Answer:

there are 6 significant figures in 107.051

Answer:

There Are 6 Significant Numbers

Explanation: But some problems stop at the . so it could 3 if im right but go with 6!

how many carbon atoms are in .650 gram tablet of aspirin (C9H8O4)?​

Answers

Answer:

For example, in a molecule of aspirin, C9H8O4, there are 9 carbon atoms, 8 hydrogen atoms and 4 oxygen atoms. compound.

Explanation:

The carbon atoms are in 0.650 gram tablet of aspirin (C9H8O4) is 3.24 x 10² atoms.

What are atoms?

Atoms are defined as the smallest unit of matter that can be divided without releasing electrically charged particles.

After the Big Bang, the building blocks of matter were generated is known as atoms.

Molar mass of aspirin = 180.2 g

Number of carbon atoms

= 0.650 g x 1 mole aspirin / 180.2 g x 9 / 1 mole aspirin

= 3.24 x 10² atoms

Thus, the carbon atoms are in 0.650 gram tablet of aspirin (C9H8O4) is 3.24 x 10² atoms.

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How many molecules of sodium oxide will be created if 275 grams of sodium reacts with excess oxygen? Given the equation: 4Na + O2 -> 2Na2O

Answers

Answer:

3.60 x 10^24 molecules Na2O

Explanation:

Use the periodic table to determine which element the following spin diagram
represents:

(Using the image)

A. nitrogen
B. Oxygen
C. None of these
D. Boron

Answers

Answer:

B. Oxygen

Explanation:

Basically count each arrow since each arrow represents an electron. Then use the periodic table to find the element with 8 electrons, which is oxygen. Also, if you know the orbital patterns, you can identify that the 2p orbital represents an element in Group 16.

Define freezing....... Correct and detailed answers will be marked as Brainliest.

Answers

Freezing:

The transformation of liquid into solid when it reaches when it's temperature is below freezing point.

Answer:

Freezing:

When liquid is converted to solid, the process is called freezing.

Conditions for freezing:

1) Temperature must be lowered.

2) The temperature should be below 0 degree centigrade.

Example:

The conversion of "liquid water" into "ice".

=> We can use a "freezer" to freeze things.

how many nitrogen atoms are in 18.8 g of barium nitride

Answers

18.8gBa(NO3)2 》》》》gN 》》》》 2.016gN

how much energy has your body used, in joules, if your health device indicates that 450 calories were burned during your workout

Answers

Answer:

Total energy consumed = 1,882.8 joules

Explanation:

Given:

Calories burned = 450 calories

Find:

Total energy consumed

Computation:

1 calorie = 4.184 joules

So,

450 calories = 4.184 × 450

450 calories = 1,882.8 joules

Total energy consumed = 1,882.8 joules

Why does science need to.change its view on ideas overtime?

Answers

Explanation:

A scientific idea is an explanation for how something works, or the truth about some aspect of the world, that was figured out using the scientific process. ... Scientific ideas change over time as the evidence improves. The more experiments they do , and the more data they collect, the better the scientific ideas become.

Three determinations were made of the following percentage of oxygen in mercuric oxide. The results were 7.40%, 7.43%, and 7.35%. What was the average percentage?

Answers

7.39% Hope that helps! :)

If each geometric shape represents a different type of atom, and atoms that are touching have chemically bonded with each other, which best describes this model? * 1. An element 2. A compound 3. A homogeneous mixture of two compounds 4. A heterogeneous mixture of two compounds 5. A homogeneous mixture of four elements 6. A heterogeneous mixture of four elements

Answers

Answer:

The correct option is;

3. A homogeneous mixture of two compounds

Explanation:

An homogeneous mixture is one where the components of the mixture are evenly dispersed such that the individual components cannot be seen to be isolated and distinguishable and having a constant composition of the constituents

The image displays three atoms (red circle, cyan triangle, and orange rectangle). The red circle appear to be bonded in pairs while the cyan triangles are bonded to the orange rectangles making a total of two compounds

The arrangement of the compounds in the mixture appear to be very evenly distributed to suggest an homogeneous mixture

The visibility of the compounds should be for an illustrative purpose.

what is the scientific term for salt​

Answers

Answer:

The scientific term for table salt is Sodium chloride.

Explanation:

The answer is sodium chloride.

It is composed of sodium and chloride. Like,

[tex] {na}^{ + } + {cl}^{ + } = nacl[/tex]

so, it's name is sodium chloride.

What is 9.871 x 10^-3 in standard form? *

Answers

Answer:

0.009871

Explanation:

[tex] 9.871\times 10^{-3} = 0.009871[/tex]

Answer:

.009871

Explanation:

What u learned about the states of matter?

Answers

Answer:t

Explanation:

In everyday life, four states of matter are visible: solid, liquid, gas, and plasma.

Of course, matter also has other states, such as Bose-Einstein density and Fermion density, but these states are only observed under certain conditions.

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