Titanium metal is obtained from the mineral rutile tio2. How many kilograms of rutile are needed to produce 100.0 kg of ti?

Answers

Answer 1
Final answer:

To extract 100.0 kg of titanium (Ti) from rutile (TiO2), we would need approximately 166.5 kg of rutile. This is calculated using the molar masses of Ti and TiO2 and the stoichiometry of the extraction process.

Explanation:

The extraction of titanium from rutile (titanium dioxide, TiO2) involves calculating the molar mass of the substances involved. The molar mass of Ti is approximately 47.87 g/mol, and the molar mass of TiO2 is approximately 79.87 g/mol. The stoichiometry of the extraction process indicates that 1 mol of TiO2 yields 1 mol of Ti. Therefore, the mass of TiO2 required to make a specific mass of Ti can be calculated as follows:

Mass of TiO2 = (Mass of Ti / Molar mass of Ti) * Molar mass of TiO2

Converting 100.0 kg of Ti to grams (since the molar mass is in grams per mol) gives 100,000 grams. Now we can substitute into the equation: (100,000 g Ti / 47.87 g/mol Ti) * 79.87 g/mol TiO2 = approximately 166,500 g of TiO2 or 166.5 kg. Therefore, we would need about 166.5 kg of rutile to produce 100.0 kg of Ti.

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Answer 2
Final answer:

To produce 100.0 kg of titanium (Ti) from rutile (TiO2), approximately 2089.67 moles of rutile are needed.

Explanation:

In order to determine how many kilograms of rutile are needed to produce 100.0 kg of titanium (Ti), we need to consider the molar ratio between the two substances. From the chemical formula of rutile (TiO2), we can see that there is a 1:2 ratio of titanium to oxygen. This means that for every 1 mole of titanium, there are 2 moles of oxygen.

To find the number of moles of titanium in 100.0 kg of Ti, we need to convert the mass to moles using the molar mass of titanium. The molar mass of titanium is approximately 47.87 g/mol. Therefore, 100.0 kg of Ti is equal to

100.0 kg × 1000 g/kg / 47.87 g/mol = 2089.67 mol of Ti.

Since there is a 1:1 ratio between titanium and rutile, we can conclude that 2089.67 mol of rutile are needed to produce 100.0 kg of Ti.

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Related Questions

How does weight affect the time it takes an object to hit the ground?

Answers

The heavier the object the faster it will fall. The lighter the object the slower to fall. You can test this for example with a rock and a piece of paper. The paper will take more time to for it to hit the ground rather than the rock which will be quicker.

Final answer:

Weight does not affect the time it takes an object to hit the ground. In the absence of air resistance, all objects fall toward the center of the Earth with the same constant acceleration, regardless of their mass.

Explanation:

Weight does not affect the time it takes an object to hit the ground. According to Newton's second law of motion, the net force on a falling object is the gravitational force, also known as its weight. In the absence of air resistance, all objects fall toward the center of the Earth with the same constant acceleration, regardless of their mass. This means that objects with different weights will hit the ground at the same time as long as air resistance is negligible.

The statement “Harvard University is a better school than the University of Chicago” is an example of

a hypothesis.

gossip.

an opinion.

a fact.

Answers

the statement is an opinion because it expresses a preference of an individual than an actual fact.

Answer:

The correct answer will be option-an opinion.

Explanation:

An opinion represents the general view about something which is based on personal belief, views and judgments about that thing. The opinion is not based on any proved fact or previous knowledge.

Since in the given question which stated that Harvard university is better than the University of Chicago will represent a personal opinion about the universities as it is not based on proved and published facts. Due to this, the statement is considered an opinion.

Electromagnetic waves differ from the other types of waves because they are

Answers

Correct answer choice is :



B) Able to travel through a vacuum.



Explanation:



Electromagnetic waves are applied to carry long/short/FM wavelength radio waves, and TV/telephone/wireless signals or services. They are also effective for transferring energy in the form of microwaves, infrared radiation, visible light, ultraviolet light, X-rays, and gamma rays. Electromagnetic waves change from mechanical waves in that they do not need a medium to generate. This means that electromagnetic waves can move not only in the air and solid matters but also in the void of space.


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Answer:

Electromagnetic waves differ from the other types of waves because they are energy waves which do not require material medium for their propagation, and as such they travel through vacuum.

Explanation:

A wave can be either mechanical or electromagnetic.

Electromagnetic waves are those types of waves which do not require material medium for their propagation. While mechanical waves are those types of waves which require material medium for their propagation.

Electromagnetic waves differ from the other types of waves because they are energy waves which do not require material medium for their propagation, and as such they travel through vacuum.

Suppose that a bobcat can jump to a height of 1.50 m. It jumps at an angle of 50.00 relative to the horizontal. What speed does the bobcat have to leave the ground in order to reach that height?

Answers

Answer: 7.08 m/s

let the bobcat jumps with speed [tex]u_o[/tex] at an angle 50 degrees relative to the horizontal.

Height to be reached, [tex]h=1.50 m[/tex]

The component of speed in horizontal direction: [tex]u_o cos 50^o[/tex]

The component of speed in vertical direction: [tex]u_o sin 50^o[/tex]

We will use equation of motion:

[tex] v^2-u^2=2as[/tex]

where v is the final velocity, u is the initial velocity, a is the acceleration, s is the displacement.

The instantaneous speed at the highest point would be 0. Hence, v=0.

The initial velocity in the vertical direction is [tex]u=u_o sin 50^o[/tex]

The acceleration would be due to gravity in the downward direction, [tex]a= -g[/tex]

The displacement would be the height reached, [tex]s=h=1.50 m[/tex]

Insert the values in the equation of motion:

[tex]\Rightarrow 0-(u_o sin50^o)^2=-2gh\\ \Rightarrow u_o^2=\frac{2\times 9.8 m/s^2 \times 1.50 m}{(sin 50^o)^2}=\frac{29.4m^2/s^2}{0.58}=50.1 m^2/s^2\\ \Rightarrow u_o=\sqrt{50.1m^2/s^2}=7.08m/s.[/tex]

Hence, the bobcat must leave the ground with the speed of 7.08 m/s at 50 degrees from the horizontal in order to reach the height of 1.50 m .


Which freshwater source is a permanent shallow body of water with plant life throughout?

Answers

Fresh water has a variety of different sources on Earth which includes rivers, lakes, streams, rain water, etc.

One of the fresh water sources is a Lagoon which is a permanent shallow body of water which is separated from the larger water bodies by a natural barrier such as reefs or islands.

Reportedly, almost 311 plant species are found to be grown in the Atanasovsko Lake lagoon, out of which the Marsh samphire, reed, vicia and sea wormwood are a few to name.


Answer:

The answer is b.Ponds

Explanation:

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