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+\BOOKMARK [1][-]{section.1}{Pregledne naloge: Kemijsko ravnote\236je in vplivi na kemijsko ravnote\236je }{}% 1
+\BOOKMARK [1][-]{section.2}{Zakljucek}{}% 2
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+% !TeX encoding = UTF-8
+% !TeX spellcheck = sl_SI
+% do-vimlatex-onwrite
+\documentclass[]{article}
+\usepackage[utf8]{inputenc}
+\usepackage{etoolbox}
+\usepackage[hidelinks]{hyperref}
+\usepackage[a4paper, total={7in, 10in}]{geometry}
+\usepackage{graphicx}
+\usepackage{hologo}
+\usepackage{amssymb}
+\usepackage{calculator}
+\usepackage{pgfplots}
+\usepackage[inline]{enumitem}
+\usepackage{siunitx}
+\usepackage{multicol}
+\usepackage{tabularcalc}
+\usepackage{amsmath}
+\usepackage{float}
+\usepackage{tasks}
+\usepackage{filecontents}
+\usepackage{textcomp}
+\usepackage{tkz-euclide}
+\usepackage{dirtytalk}
+\usepackage{csquotes}
+\usepackage{listings}
+\usepackage{datetime} % [ddMMyyyy]
+\usepackage{ccicons}
+\usepackage{chemformula}
+\usepackage{gensymb}
+\usepackage[normalem]{ulem}
+\usepackage[slovene]{babel}
+\usepackage{cancel}
+\usepackage{tabularx}
+\usepackage{xcolor}
+\usepackage{colortbl}
+\usepackage{exsheets}
+\usepackage{harpoon}
+\newcolumntype{Y}{>{\centering\arraybackslash}X}
+% \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}
+\definecolor{codered}{rgb}{1,0,0}
+\definecolor{codegray}{rgb}{0.5,0.5,0.5}
+\definecolor{codepurple}{rgb}{0.58,0,0.82}
+\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}
diff --git a/kem/vaje/2/dokument.toc b/kem/vaje/2/dokument.toc
new file mode 100644
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+++ b/kem/vaje/2/dokument.toc
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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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