Conversation started Jun 17, 2021 at 16:01.
Wolgwang
Wolgwang
Jun 17, 2021 16:01
How to derive ideal gas equation?
Bohemian relativist
Bohemian relativist
Jun 17, 2021 16:13
@SrijanM.T it's super hot now that I feel hot even when I only wear one short-sleeves in daytime. I wish there is a cooler in the office, but it's like there is only a heater here. The weather in daytime is so hot (27 C), but it can be cold in night time (11 C), so it's difficult to wear clothes.
@SrijanM.T how do you know?
Ashish Ahuja
Ashish Ahuja
Jun 17, 2021 16:47
@PrateekMourya it is given $l >> r$ so it's a simplifying assumption to solve the problem
@Wolgwang en.wikipedia.org/wiki/Ideal_gas_law#Derivations this?
satan 29
satan 29
@Wolgwang if you combine what we did yesterday with avogadro's law, you are done
napstablook
napstablook
Jun 17, 2021 17:06
@Bohemianrelativist That's what I was wondering it could also be strain. $(^{ba-dum-tss})$
@Bohemianrelativist if the heat is really problem deodrants help. After 18 years of my life in a tropical region I have come to the conclusion that I cannot survive without deodrant in these summers.
Bohemian relativist
Bohemian relativist
@napstablook I never use deodrant. I originally lived in the subtropic zone, where there are coolers everywhere. Here in winter it's very cold, so there are heaters everywhere, but I didn't know it is so hot in summer and there is no cooler everywhere until recently.
Wolgwang
Wolgwang
@AshishAhuja I don't get this.
Bohemian relativist
Bohemian relativist
it's only hot in daytime, but the sun rises before 4 am and sets around 9 pm.
Wolgwang
Wolgwang
@satan29 Hmm I will try it. I have derived $N_{1} T_{1}=N_{2} T_{2}$ and $\frac{P_{1}}{N_{1}}=\frac{P_{2}}{N_{2}}$ by that approach.
satan 29
satan 29
Id say that from yesterday's discussion, we can generalise by sayinng:
p1v1/T1= p2v2/T2 *f(n1,n2)
where f(n1,n2)=1 when n1=n2
(which will result in yesterday's expression: which we have shown to be the equivalent of charles,boyles and GL law)
so to generate avogadros law, its easy to see that f(n1,n2)=n1/n2
$$p1v1/n1T1= p2v2/n2T2$$
Wolgwang
Wolgwang
Jun 17, 2021 17:22
@satan29 :-o I didn't realise yesterday that we had also derived combined gas equation.
satan 29
satan 29
seems to be the general expression that relates the states 1 and 2. well, because it complies with all the 4 empirical laws.
and this is the gs law: pv/nT= constant. The constant is named "R", and so we end up with pv=nRT
at the end of the day this really was some mathematical creativity.
you just need to think of an expression involving p,v,n,t that will agree with the 4 empirical laws under appropriate conditions/
Wolgwang
Wolgwang
@satan29 But now we have only one equation so what if $f(n_1,n_2)=\dfrac{n_2}{n_1}$.
satan 29
satan 29
@Wolgwang that wont give you avogadros la
w
see what happens when p1=p2 and t1=t2
Wolgwang
Wolgwang
@satan29 Ah! Thanks :-D
satan 29
satan 29
are you comfortable with the final explanation of what we did?
"you just need to think of an expression involving p,v,n,t that will agree with the 4 empirical laws under appropriate conditions/"
this is it really
Wolgwang
Wolgwang
Jun 17, 2021 17:31
@satan29 Yes. :)
 
Conversation ended Jun 17, 2021 at 17:31.