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+% \usepackage{multienum} % weird with labels
+\usetikzlibrary{calc} %% not really needed............. idk.
+%\usetikzlibrary{external}
+% \usetkzobj{all} % tkz-euclide > 3.02 tega ne potrebuje več (:
+%\tikzexternalize
+\sisetup{output-decimal-marker = {,}, quotient-mode=fraction,per-mode=fraction} % per-mode=symbol
+\newcommand\ddfrac[2]{\frac{\displaystyle #1}{\displaystyle #2}}
+\newcommand{\functionSamples}{100} % fix to fancier value upon release, keep low during development
+\newcommand{\razhroscevanje}{1}
+\definecolor{codegreen}{rgb}{0,0.6,0}
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+\definecolor{backcolour}{rgb}{0.95,0.95,0.92}
+\renewcommand{\dateseparator}{. }
+\settimeformat{hhmmsstime}
+\lstdefinestyle{mystyle}{
+	backgroundcolor=\color{backcolour},   
+	commentstyle=\color{codegreen},
+	keywordstyle=\color{magenta},
+	numberstyle=\tiny\color{codegray},
+	stringstyle=\color{codepurple},
+	basicstyle=\ttfamily\footnotesize,
+	breakatwhitespace=false,         
+	breaklines=true,                 
+	captionpos=b,                    
+	keepspaces=true,                 
+	numbers=left,                    
+	numbersep=5pt,                  
+	showspaces=false,                
+	showstringspaces=false,
+	showtabs=false,                  
+	tabsize=2
+}
+\lstset{style=mystyle}
+\def\@maketitle{%
+	\newpage
+	\null
+	\vskip 2em%
+	\begin{center}%
+		\let \footnote \thanks
+		{\LARGE \@title \par}%
+		\vskip 1.5em%
+		{\large
+			\lineskip .5em%
+			\begin{tabular}[t]{c}% <------
+				\@author%            <------ Authors
+			\end{tabular}\par}%    <------
+		\vskip 1em%
+		{\large \@date}%
+	\end{center}%
+	\par
+	\vskip 1.5em}
+%opening
+\newcommand{\snovdn}{Kemijsko ravnotežje in vplivi na kemijsko ravnotežje }
+\newcommand{\predmdn}{kem}
+\newcommand{\predmkaj}{vaje}
+\newcommand{\stevilkadn}{2}
+\newcommand{\cm}[1]{\SI{#1}{\centi\meter}}
+\newcommand{\kmh}[1]{\SI{#1}{\kilo\meter\per\hour}}
+\makeatletter
+\newcommand{\xslalph}[1]{\expandafter\@xslalph\csname c@#1\endcsname}
+\newcommand{\@xslalph}[1]{%
+	\ifcase#1\or a\or b\or c\or \v{c}\or d\or e\or f\or g\or h\or i%
+	\or j\or k\or l\or m\or n\or o\or p\or r\or s\or \v{s}%
+	\or t\or u\or v\or z\or \v{z}
+	\else\@ctrerr\fi%
+}
+\AddEnumerateCounter{\xslalph}{\@xslalph}{m}
+\makeatother
+\newcommand\gauss[2]{1/(#2*sqrt(2*pi))*exp(-((x-#1)^2)/(2*#2^2))} % Gauss function, parameters mu and sigma
+\newcommand*\textfrac[2]{
+	\frac{\text{#1}}{\text{#2}}
+}
+\NewTasks[counter-format=\xslalph*),label-format=\bfseries]{primerTasks}(3)
+\newcommand\vektor{\overrightarrow}
+\newcommand{\iic}{I\textsuperscript{2}C }
+\title{%
+	\snovdn --- \stevilkadn. vaja
+	\\
+	\large Kemija, Gimnazija Bežigrad}
+\author{\begin{tabular}{rl}
+		\textbf{Profesor:} & prof. Gašper Pernek\\
+		\textbf{Avtor:} & Anton Luka Šijanec, 2. a
+%		\textbf{Avtor:} & Anton Luka Šijanec \\ & Member 2 \\ & Member 3
+\end{tabular}}
+\newcommand\hcancel[2][black]{\setbox0=\hbox{$#2$}%
+\rlap{\raisebox{.45\ht0}{\textcolor{#1}{\rule{\wd0}{1pt}}}}#2} 
+% \everymath{\displaystyle} % https://tex.stackexchange.com/a/32847/212260
+\begin{document}
+\maketitle
+\begin{abstract}
+Ta dokument vsebuje vajo, ki zajema snov \textit{\snovdn}pri kemiji.
+\end{abstract}
+\tableofcontents
+\section{Pregledne naloge: \textit{\snovdn}}
+\begin{enumerate}[label=\textbf{\arabic*.}]
+	\item Sliki prikazujeta stanje pred reakcijo in ravnotežno stanje.
+		\begin{figure}[H]
+			\centering
+			\includegraphics[width=0.7\textwidth]{1.png}
+			\caption{Vir slike: profesor}
+		\end{figure}
+		\begin{enumerate}[label=\xslalph*)]
+			\item Zapiši urejeno enačbo reakcije z agregatnimi stanji, ki poteče.
+				$$\ch{2 CO(g) + O2(g) <=> 2 CO2(g)}$$
+			\item Zapiši izraz za konstanto ravnotežja in izračunaj njeno vrednost, če predpostavimo, da vsak model molekule v \SI{1,4}{\L} posodi predstavlja množino \SI{0,025}{\mole}.
+			$$K_c=\frac{[\ch{CO2}]^2}{[\ch{CO}]^2\cdot[O]}=\frac{0,0013}{0,000358}=3,6$$
+		\end{enumerate}
+	\item Vrednost konstante ravnotežja za prikazano reakcijo je 0,0245.
+		$$\ch{2 NOCl(g) <=> 2 NO(g) + CL2(g)}$$
+		Zapiši izraz za ravnotežno konstanto in izračunaj njeno vrednost za spodnji reakciji:
+
+		\begin{tabular}{cc}
+			$$\ch{NOCl(g) <=> NO(g) + 1/2 CL2(g)}$$ & $$K_c = 0,16$$\\
+			$$\ch{2 NO(g) + Cl2(g) <=> 2 NOCl(g)}$$ & $$K_c = 40,8$$
+		\end{tabular}
+	\item Prikazani so štirje grafi spreminjanja koncentracije reaktantov A in B ter produktov C in D v odvisnosti od časa pri različnih pogojih. Kateri graf ustreza reakciji z največjo konstanto ravnotežja $K_c$?
+		\begin{figure}[H]
+			\centering
+			\includegraphics[width=0.9\textwidth]{3.png}
+			\caption{Vir slike: profesor}
+		\end{figure}
+		Največja konstanta ravnotežja $K_c$ pripada grafu 2.
+		Najmanjša konstanta ravnotežja $K_c$ pripada grafu 4, ker je tam koncentracija reaktantov najbolj različna od koncentracije produktov.
+	\item Prikazan je diagram spremembe koncentracij v odvisnosti od časa pri ravnotežni reakciji. Ali izraz za konstanto ravnotežja ustreza reakciji, prikazani na grafu? Vse snovi so plini. Utemelji.
+		\begin{multicols}{2}
+			\begin{figure}[H]
+				\centering
+				\includegraphics[width=0.4\textwidth]{4.png}
+				\caption{Vir slike: profesor}
+			\end{figure}
+			$$K_c=\frac{[\ch{SO2}]^2\cdot[\ch{O2}]}{[\ch{SO3}]^2}$$
+			Ne, ne ustreza, ker morajo biti reaktanti napisani v števcu, tukajle pa so v imenovalcu.
+			Zapiši enačbo reakcije homogenega ravnotežja, ki jo prikazuje graf:
+			$$\ch{2 SO2(g) + O2(g) <=> 2 SO3(g)}$$
+		\end{multicols}
+		Kakšen bi bil izraz za konstanto ravnotežja, če bi žveplov trioksid \ch{SO3} bil v trdnem agregatnem stanju?
+		$$K_c=\frac{1}{[\ch{SO2}]^2\cdot[\ch{O2}]}$$
+	\item Metanol dobimo pri ravnotežni homogeni reakciji med ogljikovim oksidom in vodikom po enačbi \ch{CO(g) + 2 H2(g) <=> CH3OH(g)}. Pri določenih pogojih smo v posodi s prostornino \SI{900}{\milli\L} imeli na začetku \SI{0,345}{\mole} ogljikovega oksida in \SI{0,678}{\mole} vodika, v ravnotežju pa \SI{0,045}{\mol} metanola. Izračunaj ravnotežne koncentracije vseh snovi in konstanto ravnotežja $K_c$.
+
+		\begin{tabular}{c||c|c|c}
+			& \ch{CO} & \ch{H2} & \ch{CH3OH} \\
+			\hline
+			začetek & 0,38 M & 0,75 M & 0 \\
+			\hline
+			potek & $-x$ & $-2x$ & $+x$ \\
+			\hline
+			konec & 0,33 M & 0,65 M & 0,05 M
+		\end{tabular}
+
+		$$x=0,05 \text{M}$$
+		% $$C_r(\ch{CO}=0,33 \text{M});\ C_r(\ch{H2})=0,64 \text{M};\ C_r(\ch{CH3OH})=0,05 \text{M}$$
+		$$[\ch{CO}]=0,33 \text{M}\ [\ch{H2}]=0,64 \text{M}\ [\ch{CH3OH}]=0,05 \text{M}\ K_c=0,36$$
+	\item Dušikov(IV) oksid pridobivamo z reakcijo med kisikom in dušikovim(II) oksidom.
+		\begin{enumerate}[label=\xslalph*)]
+			\item Zapišite urejeno enačbo reakcije nastanka dušikovega(IV) oksida.
+				$$\ch{2 NO(g) + O2(g) <=> NO2(g)}$$
+			\item Pri neki temperaturi ima konstanta ravnotežja $K_c$ vrednost 0,456. Izračunajte \textbf{ravnotežno koncentracijo} in \textbf{maso} kisika, če imamo v ravnotežju v \SI{750}{\milli\L} posodi \SI{0,500}{\mole} dušikovega(II) oksida in \SI{0,100}{\mole} dušikovega(IV) oksida.
+				$$
+					C_R(\ch{NO})=0,67		\text{M};\ C_R(\ch{NO2})=0,13 \text{M};\ 
+					K_c=\frac{[\ch{NO2}]^2}{[\ch{O2}]\cdot[\ch{NO}]^2};\ 
+					C_R(\ch{O2})=\frac{[\ch{NO2}]^2}{K_c\cdot[\ch{NO}]^2};\ 
+					C_R(\ch{O2})=0,083	\text{M}
+				$$
+		\end{enumerate}
+		$$[\ch{O2}]=0,083 \text{M}\ m(\ch{O2})_R=\SI{0,9}{\gram}$$
+	\item Zapisana enačba opisuje kemijsko reakcijo sinteze metanola \ch{CH3OH}. Ugotovite vplive na položaj ravnotežja. \textbf{\ch{CO(g) + 2 H2(g) <=> CH3OH(g)}}\ \ \ $\Delta H_r^\circ=\SI{-91}{\kilo\joule}$
+
+		\begin{tabular}{|c|c|}
+			\hline
+			\textbf{DEJAVNIK VPLIVA} & \textbf{VPLIV NA RAVNOTEŽJE} \\
+			\hline
+			\textbf{Sistemu povišamo temperaturo.} & V levo \\
+			\hline
+			\textbf{Sistemu povečamo tlak.} & V desno \\
+			\hline
+			\textbf{Dodamo dodatno količino ogljikovega oksida.} & V desno \\
+			\hline
+			\textbf{Odvzamemo neko količino metanola} & V desno \\
+			\hline
+			\textbf{Dodamo \SI{0,5}{\mole\per\L} argona.} & Ni vpliva \\
+			\hline
+		\end{tabular}
+	\item Pri endotermni ravnotežni reakciji, ki jo ponazarja spodnja enačba, lahko spremembo položaja ravnotežja opazimo s spremembo barve raztopine.
+		$$\ch{[Co(H2O)6]^{2+}(aq) + 4 Cl^-(aq) <=> [CoCl4]^{2-}(aq) + 6 H2O(l)}$$
+		Reaktanti so \color{magenta}rožnate barve\color{black}, produkti pa \color{blue}plave barve\color{black}.
+		
+		Katere ugotovitve so pravilne za to reakcijo?
+		\begin{enumerate}[label=\textbf{\MakeUppercase{\alph*}}]
+			\item Ob dodatku koncentrirane klorovodikove kisline se raztopina obarva modro.
+			\item Če dodamo trden \ch{CoCl2}, ki tvori \ch{[Co(H2O)6]}, se ravnotežje pomakne k produktom.
+			\item Če raztopino segrejemo, opazimo prehod iz modre v rožnato barvo.
+			\item Segrevanje ne vpliva na položaj ravnotežja.
+			\item Ob dodatku vode se bo raztopina obarvala rožnato.
+		\end{enumerate}
+		Kombinacija pravilnih trditev: A, B in E
+	\item Dana je enačba ravnotežne kemijske reakcije med ogljikovim oksidom in vodikom. Pri \SI{1200}{\degreeCelsius} je konstanta ravnotežja za to reakcijo $K_c=9,17\cdot10^{-2}$. Katera trditev je pravilna?
+		\begin{enumerate}[label=\textbf{\MakeUppercase{\alph*}}]
+			\item V ravnotežni zmesi pri \SI{1200}{\degreeCelsius} prevladujejo produkti.
+			\item Če bi znižali temperaturo v reakcijski posodi, bi se konstanta ravnotežja povečala.
+			\item Dodatek vodika v posodo pri \SI{1200}{\degreeCelsius} ne bi vplicval na ravnotežne koncentracije produktov.
+			\item Povečanje tlaka v reakcijski posodi bi ravnotežje reakcije usmerilo proti levi.
+		\end{enumerate}
+		Pravilna trditev: B
+	\item Za zapisano reakcijo je pri določenih pogojih vrednost ravnotežje konstante $K_c=0,785$.
+		$$\ch{N2O4(g) <=> 2xNO2(g)}$$
+		\begin{enumerate}[label=\alph*)]
+			\item Kolikšna je ravnotežna koncentracija dušikovega dioksida, če imamo bv ravnotežju \SI{0,234}{\mole\per\L} didušikovega tetraoksida?
+				$$K_c=\frac{[\ch{NO2}]^2}{[\ch{N2O4}]};\ [\ch{NO2}]=\sqrt{K_c\cdot[\ch{N2O4}]}=0,43 \text{M}$$
+			\item Graf prikazuje potek te reakcije --- spreminjanje koncentracij v odvisnosti od časa.
+				\begin{figure}[H]
+					\centering
+					\includegraphics[width=0.5\textwidth]{10.png}
+					\caption{Vir slike: profesor}
+				\end{figure}
+		\end{enumerate}
+		\begin{enumerate}[label=\textbf{\MakeUppercase{\alph*}.}]
+			\item Kako smo vplivali na ravnotežje ob času $t_1$?
+
+				Z zmanjšanjem tlaka ali s segrevanjem.
+			\item Kako smo vplivali na ravnotežje ob času $t_3$?
+
+				Z dodajanjem \ch{NO2}.
+			\item Izračunaj konstanto ravnotežja med $t_2$ in $t_3$.
+
+				1,8.
+		\end{enumerate}
+\end{enumerate}
+\section{Zaključek}
+Ta dokument je informativne narave in se lahko še spreminja. Najnovejša različica, torej PDFji in
+\hologo{LaTeX}\footnote{Za izdelavo dokumenta potrebujete \texttt{TeXLive 2020}.}
+izvorna koda, zgodovina sprememb in prejšnje različice, je na voljo v mojem šolskem Git repozitoriju na
+\url{https://git.sijanec.eu/sijanec/sola-gimb-2} v mapi 
+\href{https://git.sijanec/sola-gimb-2/src/branch/master/\predmdn/\predmkaj/\stevilkadn/}{/\predmdn/\predmkaj/\stevilkadn/}. Povezava za ogled zadnje različice tega dokumenta v PDF obliki je  \url{http://razor.arnes.si/~asija3/files/sola/gimb/2/\predmdn/\predmkaj/\stevilkadn/dokument.pdf} in/ali \url{https://git.sijanec.eu/sijanec/sola-gimb-2/raw/branch/master/\predmdn/\predmkaj/\stevilkadn/dokument.pdf}.
+
+\if\razhroscevanje1
+\section*{Razhroščevalne informacije}
+Te informacije so generirane, ker je omogočeno razhroščevanje. Pred objavo dokumenta izklopite razhroščevanje. To naredite tako, da nastavite ukaz \texttt{razhroscevanje} na 0 v začetku dokumenta.
+
+Grafi imajo natančnost \functionSamples\space točk na graf.
+
+Konec generiranja dokumenta: \today\ ob \currenttime\footnote{To ne nakazuje dejanskega časa, ko je bil dokument napisan, temveč čas, ko je bi dokument generiran v PDF/DVI obliko. Isto velja za datum v glavi dokumenta. Če berete direktno iz LaTeX datoteke, bo to vedno današnji datum.}%\input|"date -Ins"
+
+Dokument se je generiral R0qK1KR2 \SI{}{\second}.
+\fi
+%	\item $$$$ aaasecgeninsaaa R0qK1KR2
+\end{document}
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+\babel@toc {slovene}{}
+\babel@toc {slovene}{}
+\contentsline {section}{\numberline {1}Pregledne naloge: \textit {Kemijsko ravnotežje in vplivi na kemijsko ravnotežje }}{1}{section.1}%
+\contentsline {section}{\numberline {2}Zaključek}{4}{section.2}%
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