SevenUP

The minimum velocity occurs at aphelion. This value (3.7Km/s) is stated in the question.

D_perihelion = 7.735E9Km

D_aphelion = 4.425E9Km

Orbital eccentricity is the ratio of P/A (perihelion/aphelion) values. (Either distance or velocity values).

Orbital eccentricity (P/A)= (7.735E9) / (4.425E9) = 1.66

The product of eccentricity and V_aphelion gives V_ perihelion.

 (P/A)(Va)=Vp 

(1.66)(3.7Km/s) = 6.14Km/s

_7UP_

Calculate the grams of oxygen 10.15g -4.43g P = 5.72g of O

Calculate the moles of phosphorus in 4.43 grams of P

0.14304 moles of P

Calculate the moles of oxygen in 5.72 grams of O

0.3575 moles of O

Divide molar masses to find the ratio

 0.3575 / 0.14304 = 2.5 Phosphorus to 1 Oxygen 

Multiply by 2 for integer values

P₅O₂

This is Phosphorus pentoxide

_7UP_

What is its empirical formula for 18.6g C, 3.1g H, and 55.02g Cl?

0.24% C 0.04% H 72% Cl  of  76.72g total

Convert to moles and find molar ratios

18.6/12.01 =1.55 mol C

3.1/1.00 = 3.10 mol H

55.02/35.45 = 1.55 mol Chlorine

The carbon and chlorine have the same number atoms and hydrogen will have very near twice as many

Playing with it gives These

CClH₂ 

C₂Cl₂H₄    <---- dichloroethane (This is very common)

These are closer to the ratios

C₃Cl₃H₆

C₃₁Cl₃₁H₆₁

C₆₇Cl₆₇H₁₃₂

_7UP_

(75 + 50) * 6 + 100 - 25 - 4 = 821

75 * (50 - 6) / 4 - 100 / 25 = 821

(100 + 50 - 25) * 6 + 75 - 4 = 821

(100 - 75) * (25 + 6)  + 50 - 4 = 821

(100 + 6 - 75) * 25 + 50 - 4 = 821

100 * (50 + 6) * 4 / 25 - 75 = 821

----------------------------------------------------

(75 * 50 - 100 - 2) / 8 - 25 = 431

(75 * (50 - 100 / 25) - 2) / 8 = 431

_7UP_

I kept the main title “Moonlight at the Taj Mahal” The subtitle is “The First Kiss”

The narrative is set on the longest night of the year. The complex emotional elements have to be reconciled and reasoned with intellectually, by the young protagonists, when they find their moonlight kisses start to cool in the morning sun.

A cool theme, but short on scope because it was a short play.

Maybe I could enhance it a little for the forum.

You know, I probably should give Rosala and Zegreos the preview before I post it.

_7UP_

You are right about 7UP. I prefer Coke now. The liquid kind, that is. The powdered kind is too expensive. Hahaha

I know what you mean about CPhill. He is a man of few words. Maybe the armored helmet he wears makes it difficult to speak.

I had to write a short play for English class. I based my play on you and Rosala . I got a AA++ on it. My English teacher rarely ever gives A’s – at least to me. The other students liked it too!

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Rosala has not stopped pinning for you since you were lost in the kingdom.

I'm sure she will come back and visit much more, if you stay around.

Hi Zegroes!!

Are you and Rosala going to give us another season of “Moonlight at the Taj Mahal?”

This is way, way better than anything on TV !!!

Learning how to use an abacus is on my to do list. However, I do know how to use a slide rule. They make great back-scratchers.

The total number of ways 10 people can occupy 20 seats (in a row) is nCr(20,10) (184756).

There are only 2 ways 10 people can occupy 20 seats (in a row) that have no adjacent person.This is can be defined by odd or even seats (1,3,5 . . . or 2,4,6 . . .).

Of the 184756 combinations, only two allow for the condition specified and this gives a probability:

Derived from nCr(20,10)/2 =92378

(1/92378) = 0.0000108250882245

 _7UP_