Problem 1.1. Recall the convention from chemistry in labelling atoms: a small letter after a capital letter belongs to the capital letter, e.g., Pb is a single atom whereas NO3 refers to the molecule consisting of one atom N and three atoms O. For each of the following chemical equations, write down a linear system whose solutions are the amounts of each molecule so that the reaction is balanced. (You don't need to solve the systems.) (a) Pb(NO3)2 + NaCl → PbCl₂ + NaNO3 (b) C₂H₂Cl + Ca(OH)2 → C2HCl3 +CaCl2 + H₂O

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Problem 1.1. Recall the convention from chemistry in labelling atoms: a
small letter after a capital letter belongs to the capital letter, e.g., Pb is a
single atom whereas NO3 refers to the molecule consisting of one atom N and
three atoms O. For each of the following chemical equations, write down a
linear system whose solutions are the amounts of each molecule so that the
reaction is balanced. (You don't need to solve the systems.)
(a) Pb(NO3)2 + NaCl → PbCl2 + NaNO3
(b) C₂H₂Cl + Ca(OH)2 → C₂HCl3 +CaCl2 + H₂O
Transcribed Image Text:Problem 1.1. Recall the convention from chemistry in labelling atoms: a small letter after a capital letter belongs to the capital letter, e.g., Pb is a single atom whereas NO3 refers to the molecule consisting of one atom N and three atoms O. For each of the following chemical equations, write down a linear system whose solutions are the amounts of each molecule so that the reaction is balanced. (You don't need to solve the systems.) (a) Pb(NO3)2 + NaCl → PbCl2 + NaNO3 (b) C₂H₂Cl + Ca(OH)2 → C₂HCl3 +CaCl2 + H₂O
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