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Fucking Chemistry

Name: Anonymous 2011-02-20 22:30

Automotive airbags have little capsules filled with sodium azide. Upon collision, the capsule breaks and the chemical decomposes, generating the exact amount of gas needed to fill the airbag. Describe how the ideal gas law could be used to determine how much of the powdered substance must be placed into the explosive capsule, how big to make the airbag, and how much pressure the airbag should be designed to withhold.

Name: Anonymous 2011-02-20 23:19

They would figure out how many kg based upon number of moles calcuated from the ideal gas law equation given the volume and pressure desired at whatever temperature is involved.

Name: Anonymous 2011-02-21 0:33


\def \I #1{#1}
\def \A #1#2{#2 {#1}}
\def \Set #1#2{\def #2 {\A{#1}}}
\def \Infix #1#2#3{#3 {#1 {#2}}}
\def \DefI #1#2{\def #1 {\Infix #2} \def #2}

\def \L #1#2{#1}
\def \R #1#2{#2}
\def \T #1{#1 \L}
\def \F #1{#1 \R}
\def \PBool #1{#1 {True} {False}}
\def \Not #1{#1 \F \T}
\def \And #1#2{#1 {#2} \F}
\def \Or #1#2{#1 \T {#2}}
\def \Xor #1#2{#1 {#2 \Not} {#2}}
\def \EqB #1#2{#1 {#2} {#2 \Not}}
\def \Maj #1#2{#1 {#2 \Or} {#2 \And}}
\def \CompB #1#2#3#4#5{
    #1 {
        #2 \I {#4} {#3}
    }{
        #2 \I {#5} {#4}
    }
}

\def \P #1#2#3#4{#3 {#4 {#1}} {#4 {#2}}}
\def \N #1#2{\T}
\DefI \. \PairP #1#2#3{#3 {\P{#1}{#2}}}
\Set \N \Nil
\def \List {\Nil \.}
\def \Left #1{#1 \L}
\def \Right #1{#1 \R}
\def \Null #1{#1 \L {\L \F}}
\def \Lone #1{#1 \L \Null}
\def \Last #1{\Lone {#1} \I {#1 \R} {#1 \L \Last}}

\List \T \Set \NegOne
\List \F \Set \0
\List \F \. \T \Set \1
\def \ShiftR #1{\Lone {#1} \I {\A {#1}} {#1 \L}}
\DefI \NB \NBP #1#2{
    \Lone {#1} \And {\EqB {#2} {#1 \R}} \I
    {\A {#1}}
    {\PairP {#1} {#2}}
}
\def \PBin #1{
    \Null {#1} \I
    {}
    {#1 \L \PBin #1 \R \I 1 0}
}

\DefI \= \EqIP #1#2{
    #1 \R \EqB {#2 \R} \And {
        \Lone {#1} \And {\Lone {#2}} \Or {
            \Lone {#1} \Not \And {\Lone {#2} \Not} \And
            {\ShiftR {#1} \= {\ShiftR {#2}}}
        }
    }
}
\DefI \CompI \CompIP #1#2#3#4#5{
    \Lone {#1} \And {\Lone {#2}} \I {
        #1 \R \CompB {#2 \R} {#5} {#4} {#3}
    }{
        \ShiftR {#2} {\ShiftR {#1} \CompIP}
        {#3}
        {#1 \R \CompB {#2 \R} {#3} {#4} {#5}}
        {#5}
    }
}
\def \< #1#2{\CompI {#1} {#2} \F \F \T}

\def \AddC #1#2#3{
    \Lone {#1} \And {\EqB{#3} {#1 \R}} \I {
        \A {#2}
    }{
        \Lone {#2} \And {\EqB{#3} {#2 \R}} \I {
            \A {#1}
        }{
            \Maj {#3} {#1 \R} {#2 \R}
            {\ShiftR {#2} {\ShiftR {#1} \AddC}}
            \NB
            {\Xor {#3} {#1 \R} \Xor {#2 \R}}
        }
    }
}
\def \+ #1#2{#2 \AddC {#1} \R}

\1 \+ \1 \Set \2
\2 \+ \1 \Set \3
\3 \+ \1 \Set \4
\4 \+ \1 \Set \5
\5 \+ \1 \Set \6
\6 \+ \1 \Set \7
\7 \+ \1 \Set \8
\8 \+ \1 \Set \9
\9 \+ \1 \Set \Ten

\def \OComp #1{
    \Null {#1} \I {
        \Nil
    }{
        #1 \L \OComp \. {#1 \R \Not}
    }
}
\def \Neg #1{\OComp{#1} \+ \1}
\def \- #1#2{#2 \OComp \AddC {#1} \L}

\DefI \* \TimesP #1#2{
    \Lone {#1} \I {
        #1 \R \I {\Neg {#2}}{\0}
    }{
        #1 \R \I {
            #1 \L \TimesP {#2} \NB \F \+ {\A {#2}}
        }{
            #1 \L \TimesP {#2} \NB \F
        }
    }
}

\def \QRPos #1#2{
    \Lone {#1} \I {
        #1 \R \I {
            \NegOne \. {\- {#2} \1}
        }{
            \0 \. \0
        }
    }{
        \ShiftR {#1} \QRPos {#2} \Set \PrevQR
        \PrevQR \Right \NB {#1 \R} \Set \NewR
        \NewR \< {\A {#2}} \I {
            \PrevQR \Left \NB \F \. \NewR
        }{
            \PrevQR \Left \NB \T \. {\NewR \- {\A {#2}}}
        }
    }
}
\DefI \QR \QRP #1#2{
    \Last {#2} \I {
        \Neg {#2} {\Neg {#1} \QRPos} \Set \PrevQR
        \PrevQR \Left \. {\PrevQR \Right \Neg}
    }{
        \= {#2} \0 \I {
            \OhShi
        }{
            \QRPos {#1} {#2}
        }
    }
}
\def \/ #1#2{\QR {#1} {#2} \Left}
\def \Mod #1#2{\QR {#1} {#2} \Right}

\def \Fact #1{
    \< {#1} \2 \I {
        \1
    }{
        \- {#1} \1 \Fact \* {\A {#1}}
    }
}

\DefI \At \AtP #1#2{
    \= {#2} \0 \I {
        #1 \R
    }{
        \- {#2} \1 {#1 \L \AtP}
    }
}

\List {\A9}\.{\A8}\.{\A7}\.{\A6}\.{\A5}\.{\A4}\.{\A3}\.{\A2}\.{\A1}\.{\A0} \Set \Digits
\def \PDecQR #1{
    #1 \L \Lone \I {
    }{
        #1 \L \PDecPos
    }
    \Digits \At {#1 \R} \I
}
\def \PDecPos #1{
    \Ten {\QRPos {#1}} \PDecQR
}
\def \PDec #1{
    \< {#1} \0 \I {
        - \Neg {#1} \PDecPos
    }{
        \PDecPos {#1}
    }
}
\Fact \5

Name: Anonymous 2011-02-21 0:36

>>3
It's
\5 \Fact \PDec
\5 \Fact \PDec

Name: Anonymous 2011-02-21 0:41

Well, something broke, let's try to find out where.
\T \PBool
\T \Not \PBool
\T \And \F \PBool
\0 \PBin
\0 \NB \T

Name: Anonymous 2011-02-21 0:43

\Nil \PBin

Name: Anonymous 2011-02-21 0:44

\Nil \Null \PBool

Name: Anonymous 2011-02-21 0:44

\PBin {\N}

Name: Anonymous 2011-02-21 0:45


\Null {\N} \I
{}
{#1 \L \PBin #1 \R \I 1 0}

Name: Anonymous 2011-02-21 0:47


foo
    \Null {\N} \I
    {}
    {\N \L \PBin \N \R \I 1 0}

Name: Anonymous 2011-02-21 0:47


foo
    \L
    {}
    {\N \L \PBin \N \R \I 1 0}

Name: Anonymous 2011-02-21 0:48


wtf
\L{}{\N \L \PBin \N \R \I 1 0}

Name: Anonymous 2011-02-21 0:49


foo
    \L
    {A}
    {B}

Name: Anonymous 2011-02-21 0:50


foo
    \L    {A}    {B}

Name: Anonymous 2011-02-21 0:51


foo
    \L {A} {B}

Name: Anonymous 2011-02-21 0:52


foo
    \L {A}
{B}

Name: Anonymous 2011-02-21 0:52


foo
    \L {A}
 {B}

Name: Anonymous 2011-02-21 1:00

Well, it's settled; the problem is that Shiichan turns certain spaces into non-breaking spaces which don't get parsed as whitespace by jsMath.  The version with the whitespace compressed out should work fine, though.  Testing:

\def\I#1{#1}\def\A#1#2{#2{#1}}\def\Set#1#2{\def#2{\A{#1}}}\def\Infix#1#2#3{#3{#1{#2}}}
\def\DefI#1#2{\def#1{\Infix#2}\def#2}\def\L#1#2{#1}\def\R#1#2{#2}\def\T#1{#1\L}\def\F#1{#1\R}
\def\PBool#1{#1{True}{False}}\def\Not#1{#1\F\T}\def\And#1#2{#1{#2}\F}\def\Or#1#2{#1\T{#2}}
\def\Xor#1#2{#1{#2\Not}{#2}}\def\EqB#1#2{#1{#2}{#2\Not}}\def\Maj#1#2{#1{#2\Or}{#2\And}}
\def\CompB#1#2#3#4#5{#1{#2\I{#4}{#3}}{#2\I{#5}{#4}}}\def\P#1#2#3#4{#3{#4{#1}}{#4{#2}}}\def\N#1#2{\T}
\DefI\.\PairP#1#2#3{#3{\P{#1}{#2}}}\Set\N\Nil\def\List{\Nil\.}\def\Left#1{#1\L}\def\Right#1{#1\R}
\def\Null#1{#1\L{\L\F}}\def\Lone#1{#1\L\Null}\def\Last#1{\Lone{#1}\I{#1\R}{#1\L\Last}}
\List\T\Set\NegOne\List\F\Set\0\List\F\.\T\Set\1\def\ShiftR#1{\Lone{#1}\I{\A{#1}}{#1\L}}
\DefI\NB\NBP#1#2{\Lone{#1}\And{\EqB{#2}{#1\R}}\I{\A{#1}}{\PairP{#1}{#2}}}
\def\PBin#1{\Null{#1}\I{}{#1\L\PBin#1\R\I10}}
\DefI\=\EqIP#1#2{#1\R\EqB{#2\R}\And{\Lone{#1}\And{\Lone{#2}}\Or{\Lone{#1}\Not\And{\Lone{#2}\Not}\And
{\ShiftR{#1}\={\ShiftR{#2}}}}}}
\DefI\CompI\CompIP#1#2#3#4#5{\Lone{#1}\And{\Lone{#2}}\I{#1\R\CompB{#2\R}{#5}{#4}{#3}}{\ShiftR{#2}
{\ShiftR{#1}\CompIP}{#3}{#1\R\CompB{#2\R}{#3}{#4}{#5}}{#5}}}\def\<#1#2{\CompI{#1}{#2}\F\F\T}
\def\AddC#1#2#3{\Lone{#1}\And{\EqB{#3}{#1\R}}\I{\A{#2}}{\Lone{#2}\And{\EqB{#3}{#2\R}}\I{\A{#1}}{\Maj
{#3}{#1\R}{#2\R}{\ShiftR{#2}{\ShiftR{#1}\AddC}}\NB{\Xor{#3}{#1\R}\Xor{#2\R}}}}}
\def\+#1#2{#2\AddC{#1}\R}\1\+\1\Set\2\2\+\1\Set\3\3\+\1\Set\4\4\+\1\Set\5\5\+\1\Set\6\6\+\1\Set\7
\7\+\1\Set\8\8\+\1\Set\9\9\+\1\Set\Ten\def\OComp#1{\Null{#1}\I{\Nil}{#1\L\OComp\.{#1\R\Not}}}
\def\Neg#1{\OComp{#1}\+\1}\def\-#1#2{#2\OComp\AddC{#1}\L}
\DefI\*\TimesP#1#2{\Lone{#1}\I{#1\R\I{\Neg{#2}}{\0}}{#1\R\I{#1\L\TimesP{#2}\NB\F\+{\A{#2}}}{#1\L
\TimesP{#2}\NB\F}}}
\def\QRPos#1#2{\Lone{#1}\I{#1\R\I{\NegOne\.{\-{#2}\1}}{\0\.\0}}{\ShiftR{#1}\QRPos{#2}\Set\PrevQR
\PrevQR\Right\NB{#1\R}\Set\NewR\NewR\<{\A{#2}}\I{\PrevQR\Left\NB\F\.\NewR}{\PrevQR\Left\NB\T\.
{\NewR\-{\A{#2}}}}}}
\DefI\QR\QRP#1#2{\Last{#2}\I{\Neg{#2}{\Neg{#1}\QRPos}\Set\PrevQR\PrevQR\Left\.{\PrevQR\Right\Neg}}{
\={#2}\0\I{\OhShi}{\QRPos{#1}{#2}}}}\def\/#1#2{\QR{#1}{#2}\Left}\def\Mod#1#2{\QR{#1}{#2}\Right}
\def\Fact#1{\<{#1}\2\I{\1}{\-{#1}\1\Fact\*{\A{#1}}}}
\DefI\At\AtP#1#2{\={#2}\0\I{#1\R}{\-{#2}\1{#1\L\AtP}}}
\List{\A9}\.{\A8}\.{\A7}\.{\A6}\.{\A5}\.{\A4}\.{\A3}\.{\A2}\.{\A1}\.{\A0}\Set\Digits
\def\PDecQR#1{#1\L\Lone\I{}{#1\L\PDecPos}\Digits\At{#1\R}\I}\def\PDecPos#1{\Ten{\QRPos{#1}}\PDecQR}
\def\PDec#1{\<{#1}\0\I{-\Neg{#1}\PDecPos}{\PDecPos{#1}}}

Name: Anonymous 2011-02-21 1:01

\5 \Fact \PDec

Name: Anonymous 2011-02-21 1:07

>>19
Won't work in this thread for some reason, but works in
http://dis.4chan.org/read/sci/1297287665/8

Name: Anonymous 2011-02-25 13:46

Taking a course in insight I see. Discussion questions. Mr.Schopff. Sam Osborn?
Don't change these.
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