Ideal Gas Law : Pv = Nrt – Derivation Of The Equation Pv = Rt

I know this will sound dumb for the people who are here but I need to learn eventuallywhen can I use $pv=RT$ and when to use $pV=nRT$

*

*

If you write $pv = RT$ then $v$ is the molar volume i.e. the volume occupied by one mole of the gas. We often do this because we don”t know or aren”t interested in exactly how much gas is present. For example if you were calculating the properties of air you don”t need to know the total amount of air in the whole atmosphere.

Đang xem: Ideal gas law

If you write $pV = nRT$ then $V$ is the total volume of the gas and $n$ is the number of moles of gas present. The two equations are equivalent because the molar volume is the total volume divided by the number of moles present:

$$ v = frac{V}{n} $$

Share
Cite
Improve this answer
Follow
answered Nov 23 “20 at 5:57

*

John RennieJohn Rennie
312k9696 gold badges642642 silver badges908908 bronze badges
$endgroup$
Add a comment |
4
$egingroup$
Both of these equations are completely the same. But let’s just make sure of one thing first.

Assuming both equations are the same in that both $v$ and $V$ represent volume, then the difference is that in the equation where you don’t have $n$, then the number of mole $n$ is taken to be one.

If you are looking at system where the number of mole is $n
eq 1$ then you would use

$$pv = nRT$$

However, if $v$ and $V$ represent molar volume and normal volume respectively, then note that

$$v = V/n$$

where $v$ represents the volume per mole of gas and you will know which equation to use since the problem should refer to $v$ as molar volume as oppose to standard volume. In that case you would use your first equation

$$pv = RT$$

Note that $n$ is dimensionless so that sometimes $v$ and $V$ will both be expressed in the same units $m^3$ (or $cm^3$ etc). But it should usually be expressed as $m^3 mol^{-1}$.

Xem thêm: Cách Trình Bày Slide Đồ Án Tốt Nghiệp Mẫu Slide Báo Cáo Đồ Án Tốt Nghiệp

Share
Cite
Improve this answer
Follow
edited Nov 23 “20 at 6:54
answered Nov 23 “20 at 5:37

*

joseph hjoseph h
8,87411 gold badge2626 silver badges4040 bronze badges
$endgroup$
2
Add a comment |

Your Answer

Thanks for contributing an answer to bocdau.com Stack Exchange!

Please be sure to answer the question. Provide details and share your research!

But avoid

Asking for help, clarification, or responding to other answers.Making statements based on opinion; back them up with references or personal experience.

Use MathJax to format equations. MathJax reference.

To learn more, see our tips on writing great answers.

Xem thêm: mẫu sổ xuất nhập thuốc

Draft saved
Draft discarded

Sign up or log in

Sign up using Google
Sign up using Facebook
Sign up using Email and Password
Submit

Post as a guest

Name
Email Required, but never shown

Post as a guest

Name
Email

Required, but never shown

Post Your Answer Discard

By clicking “Post Your Answer”, you agree to our terms of service, privacy policy and cookie policy

Not the answer you're looking for? Browse other questions tagged thermodynamics notation ideal-gas or ask your own question.

Featured on Meta
Related
15
What's the difference between different speeds of sound?
5
What's the difference between energy and temperature in field theory?
0
Understanding the relation between pressure, ideal gas and, volume
0
Ideal gas formula $PV = nRT$ in Celsius scale
0
Difference between Adiabatic and Isothermal
1
Relation between particle numbers and collisions between gas molecules inside a closed container
1
Partial deritative of $partial_V(PV)_T$ with $PV=nRT$
5
Partial derivative of $PV=nRT$ with respect to $T$
2
Can you use $W = pdV = nRdT$ for an ideal gas with non-constant pressure?
Hot Network Questions more hot questions

Question feed
Subscribe to RSS
Question feed To subscribe to this RSS feed, copy and paste this URL into your RSS reader.

*

bocdau.com
Company
Stack Exchange Network
site design / logo © 2021 Stack Exchange Inc; user contributions licensed under cc by-sa. rev2021.3.29.38936

Viết một bình luận