Linear Equations Word Problems

A solution of $NaCl$ is prepared by dissolving $x$ grams of salt in $500$ mL of water. If the concentration of the solution is $0.5$ moles per liter, how many grams of $NaCl$ must be used?

A chemist needs a $10$% solution of $H_{2}SO_{4}$. If she has $200$ mL of a $15$% solution, how much of the $15$% solution should she mix with water to obtain the desired concentration?

To prepare a buffer solution, $x$ mL of $NH_{4}OH$ is needed. If the buffer's $pH$ should be $9.25$, and the $pK_a$ of $NH_{4}^{+}$ is $9.25$, what is the ratio of $NH_{4}^{+}$ to $NH_{4}OH$?

If a reaction yields $x$ grams of product from $50$ grams of reactants, and the reaction efficiency is $80$%, how many grams of product would be obtained from $100$ grams of reactants?

A chemical reaction produces $y$ moles of $CO_{2}$ for every $x$ moles of $C_{3}H_{8}$ burned. If $x = 2$ moles, what is the total moles of $CO_{2}$ produced if the reaction is $C_{3}H_{8} + 5O_{2} \rightarrow 3CO_{2} + 4H_{2}O$?

If a solution of $NaOH$ is prepared by dissolving $x$ grams in $1$ L of water, and the final pH is $13$, how many grams of $NaOH$ were used?

A chemist mixes $100$ mL of a $20$% solution of $HCl$ with $200$ mL of a $10$% solution. What is the final concentration of the mixture?

In a reaction, $N_{2} + 3H_{2} \rightarrow 2NH_{3}$. If $50$ g of $N_{2}$ is reacted, how many grams of $NH_{3}$ can be produced?

If $x$ moles of $CaCl_{2}$ is dissolved in $1$ L of solution, and the final concentration is $0.5$ M, how many grams of $CaCl_{2}$ were used?

A laboratory has $x$ mL of a $2$ M solution of $KCl$. If $100$ mL is diluted to $0.5$ M, how many mL of water are added?