iran-konkur 2020 Q223

iran-konkur · Other · konkur-riazi_1399_specialized_old-curriculum Not Maths
223- Considering the data in the tables below regarding the changes in amount and concentration of $\mathrm{CO_2}$ gas over time in the reaction:
$$\mathrm{CaCO_3(s) + 2HCl(aq) \rightarrow CaCl_2(aq) + CO_2(g) + H_2O(l)}$$
which shows c with respect to a, what are the values of a and b in how many moles per second? (Read the options from right to left, $\mathrm{CO_2 = 44\ g.mol^{-1}}$)
Time (s)01020304050
Mass of reaction mixture (g)65/9865/3264/8864/6664/5564/50
Mass of carbon dioxide (g)00/661/10\ldots\ldots\ldots

Time (s)$n(\mathrm{CO_2})$, (mol)$\Delta n(\mathrm{CO_2})$, (mol)$\bar{R}(\mathrm{CO_2}) = \dfrac{\Delta n(\mathrm{CO_2})}{\Delta t}$, $(\mathrm{mol.s^{-1}})$
00
10$1/5\times10^{-2}$$1/5\times10^{-2}$$1/50\times10^{-3}$
20$2/5\times10^{-2}$$1/00\times10^{-2}$$1/00\times10^{-3}$
30\ldots....a....\ldots\ldots\ldots
40\ldots\ldots\ldots\ldots....b....
50\ldots....c....\ldots\ldots\ldots

(1) $4/3\times10^{-3}$ , $0/22$ (2) $2\times10^{-3}$ , $0/55$
(3) $2/5\times10^{-4}$ , $0/22$ (4) $2\times10^{-4}$ , $0/55$
\textbf{223-} Considering the data in the tables below regarding the changes in amount and concentration of $\mathrm{CO_2}$ gas over time in the reaction:

$$\mathrm{CaCO_3(s) + 2HCl(aq) \rightarrow CaCl_2(aq) + CO_2(g) + H_2O(l)}$$

which shows c with respect to a, what are the values of a and b in how many moles per second? (Read the options from right to left, $\mathrm{CO_2 = 44\ g.mol^{-1}}$)

\begin{center}
\begin{tabular}{|c|c|c|c|c|c|c|}
\hline
\textbf{Time (s)} & 0 & 10 & 20 & 30 & 40 & 50 \\
\hline
\textbf{Mass of reaction mixture (g)} & 65/98 & 65/32 & 64/88 & 64/66 & 64/55 & 64/50 \\
\hline
\textbf{Mass of carbon dioxide (g)} & 0 & 0/66 & 1/10 & \ldots & \ldots & \ldots \\
\hline
\end{tabular}
\end{center}

\begin{center}
\begin{tabular}{|c|c|c|c|}
\hline
\textbf{Time (s)} & $n(\mathrm{CO_2})$, (mol) & $\Delta n(\mathrm{CO_2})$, (mol) & $\bar{R}(\mathrm{CO_2}) = \dfrac{\Delta n(\mathrm{CO_2})}{\Delta t}$, $(\mathrm{mol.s^{-1}})$ \\
\hline
0 & 0 & & \\
\hline
10 & $1/5\times10^{-2}$ & $1/5\times10^{-2}$ & $1/50\times10^{-3}$ \\
\hline
20 & $2/5\times10^{-2}$ & $1/00\times10^{-2}$ & $1/00\times10^{-3}$ \\
\hline
30 & \ldots & \textbf{....a....} & \ldots\ldots\ldots \\
\hline
40 & \ldots & \ldots\ldots\ldots & \textbf{....b....} \\
\hline
50 & \ldots & \textbf{....c....} & \ldots\ldots\ldots \\
\hline
\end{tabular}
\end{center}

\begin{center}
(1) $4/3\times10^{-3}$ , $0/22$ \hspace{2cm} (2) $2\times10^{-3}$ , $0/55$

(3) $2/5\times10^{-4}$ , $0/22$ \hspace{2cm} (4) $2\times10^{-4}$ , $0/55$
\end{center}