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8 days ago

The concentration of Si in an Fe-Si alloy is 0.25 wt%. What is the concentration in kilograms of Si per cubic meter of alloy?

Chemistry

1 answer:

KiRa [971]8 days ago

5 0

Answer: The mass of Si in kilograms is, $19.55kg/m^3$

Explanation:

Given that the Si concentration in an Fe-Si alloy is 0.25 weight percent, this translates to:

Mass of Si = 0.25 g = 0.00025 kg

Mass of Fe = 100 - 0.25 = 99.75 g = 0.09975 kg

Density of Si = $2.32g/cm^3=2.32\times 10^6g/m^3$

Density of Fe = $7.87g/cm^3=7.87\times 10^6g/m^3$

Next, we need to find the quantity of Si in kilograms per cubic meter of alloy.

Si concentration in kilograms = $\frac{\text{Weight of Si in 100 g of alloy}}{\text{Volume of 100 g of alloy}}$

Si concentration in kilograms = $\frac{\text{Weight of Si in 100 g of alloy}}{\frac{\text{Wight of Fe}}{\text{Density of Fe}}+\frac{\text{Wight of Si}}{\text{Density of Si}}}$

By substituting all the provided values into this formula, we arrive at:

Si concentration in kilograms = $\frac{0.00025kg}{\frac{99.75g}{7.87\times 10^6g/m^3}+\frac{0.25g}{2.23\times 10^6g/m^3}}$

Si concentration in kilograms = $19.55kg/m^3$

Hence, the mass of Si in kilograms is, $19.55kg/m^3$

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If you were given a sample of a cotton ball and a glass stirring rod with identical mass (ex: 5.0 g), which sample would contain

Anarel [852]

Answer:

The sample with more oxygen atoms is a glass stirring rod.

Explanation:

Referring to the periodic table,

the glass stirring rod is composed of Silicon dioxide whereas the cotton ball is made of cellulose.

The molar mass of the glass stirring rod $SiO_{2}$ = 60.08 grams/mole.

The molar mass of the cotton ball $C_{6} H_{10}O_{5}$ = 162.09 grams/mole.

Considering the total number of molecules for oxygen is 32,

therefore,

In the glass stirring rod,

oxygen atoms contained in 5g = $\frac{32}{60.07} \times 5$

= 2.66 g of oxygen

= $\frac{1}{16} \times 2.66$

= 0.16625 moles

= 0.16625 x $6.023\times 10^{23}$

= $1.001 \times10^{23}$ atoms

In the cotton ball,

oxygen atoms contained in 5g = $\frac{80}{162.09} \times 5$

= 2.467 g of oxygen

= $\frac{1}{16} \times 2.467$

= 0.15418 moles

= 0.15418 $\times 6.023 \times 10^{23}$

= 0.928 $\\ \times10^{23}$

Thus, the glass stirring rod has a greater quantity of oxygen atoms.

4 0

9 days ago

Kayla owns a food truck that sells tacos and burritos. She sells each taco for $3 and each burrito for $7.25. Yesterday Kayla ma

VMariaS [1037]

They overcomplicated things with lots of words. Your initial equation deals with the revenue. I’ll denote tacos as x and burritos as y.
The first equation would be 3x + 7.25y = 595, given that you already have the prices but need the quantities. The second equation will reflect that double the burritos were sold compared to tacos, expressed as y = x + 2.
Hope this clarifies things. If you need further explanation, I can elaborate more.

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10 days ago

What is the molar mass of citric acid (C6H8O7) and baking soda (NaHCO3)?

Alekssandra [968]

Answer:

1. 192.0 g/mol.

2. 84.0 g/mol.

Explanation:

The molar mass refers to the weight of all atoms combined in a molecule measured in grams per mole.

To find a molecule's molar mass, we begin by looking up the atomic weights of the relevant elements from the periodic table. Next, we tally the atoms present and multiply that by their respective atomic weights.

1. Molar mass of citric acid (C₆H₈O₇):

Molar mass of C₆H₈O₇ = 6(atomic mass of C) + 8(atomic mass of H) + 7(atomic mass of O) = 6(12.0 g/mol) + 8(1.0 g/mol) + 7(16.0 g/mol) = 192.0 g/mol.

2. Molar mass of baking soda (NaHCO₃):

Molar mass of NaHCO₃ = (atomic mass of Na) + (atomic mass of H) + (atomic mass of C) + 3(atomic mass of O) = (23.0 g/mol) + (1.0 g/mol) + (12.0 g/mol) + 3(16.0 g/mol) = 84.0 g/mol.

4 0

2 days ago

A sample of neon gas at STP is allowed to expand into an evacuated vessel. What is the sign of work for this process?

Alekssandra [968]

Answer:

The work done in this process will be considered Negative.

Explanation:

The energy transferred by the system to the environment is negative

Therefore, if work is done on the system, it is labeled as positive. Conversely, when work is done by the system, it is regarded as negative.

In this scenario, the argon gas is expanding, and the work is exerted by the system into the surroundings (container), making the sign Negative.

Thus, the result for the work pertaining to this process will carry a Negative sign.

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9 days ago

An experimental drug, D, is known to decompose in the blood stream. Tripling the concentration of the drug increases the decompo

lions [985]

Answer:

The rate law for the decomposition reaction is:

$R=k[D]^2$