Jeffes02

I studied particle physics for three years, I might aswell be classified as a "scientist" if you want so.

(How dare you skip over my explanation XD)

Good job for your answer! No wonder those two functions look alike.

Einstein's famous equation \(E=mc^2\) tells us that matter is equivalent to energy, and so does the other way around, in this case, fire is rising air with oxidizing chemicals in them, since it is made out of gas molecules (i.e. matter), it is an alternative form of energy.

It is easy to misintepret that fire is a kind of plasma because of its similarities and uniqueness, but in reality, although fire does ionize atoms, due to the lack of temperature and energy intensity unlike welding arcs and lightnings, most of the atoms are just in the form of heated gas rather than a plasma.

Conclusion: It is both matter, energy, and partial plasma but mostly gaseous.

But the object in this question is in the state of a gas, neither liquid or solid, therefore shouldn't it be compressible and thus making it possible to have different volume with the same mass?

Haha no thanks :D

From the question we can deduct that the temperature is proportional to the volume of the gas, set:

\(P=\frac{C}{V}\)

With P being pressure, V being the volume, and C being the constant of the gas.

A. Plug \(V=2\) and \(P=125\) into the equation:

\(125=\frac{C}{2}\)

\(C=250\)

Therefore the relationship between \(P\) and \(V\) is:

\(P=\frac{250}{V}\)

Plug \(P=325\) into the equation:

\(325=\frac{250}{V}\)

Multiply both sides of the equation by a factor of \(V\):

\(325V=250\)

Divide both sides by \(325\):

\(V=\frac{250}{325}=\frac{10}{13}\) (Unit Volume)

Done :D

B.

Plug \(V=10\) into the equation:

\(P=\frac{250}{10}=25\) (Unit Pressure)

Done :D x2

I thought the correct answer should be \((1+0.6)^{45}\approx1532500000\)? (No Offence)

(Oops I accidentally missed a decimal place XD Nevermind the comment above)

Good job! I spent hours trying to solve this in wolfram only to get paid promotions slammed in my face, and a random guest is able to solve my answer clearer than it, appreciated for clearing my problem up :D

(You can use my method for writing math expressions if you prefer:)

1.Write the formula you want to put in this forum somewhere.

2.Copy/Paste it into Desmos on the left

Site link: https://www.desmos.com/calculator

In which it will turn the formula you entered into LaTeX (A kind of system to write math expressions.)

3.Choose the Sigma symbol (LaTeX) option on the tool bar above.

4.Copy/Paste your formula from Desmos into the LaTeX interface.

5.Press OK.

5.Done!

(See you having a hard time dealing with brackets and spacings :) )

Don't know what it means, either. I fact-checked the wikipedia and it seems to either be the short term for irrational numbers, or the nth-root of numbers. But this question is answered anyways :D

(Source: https://en.wikipedia.org/wiki/Surd)     -Disambiguation Page