Moles, mass and gas calculations

Intros
Lessons
1. Using mass and gas volume in stoichiometry calculations
2. Recap stoichiometry basics
3. Calculating moles
4. Molar volume of gas and Avogadro's law.
5. Worked example: using molar volume and unit conversions
Examples
Lessons
1. Calculate the masses and volumes of reactants and products used in chemical reactions.
Consider the reaction:

2C$_6$H$_{14\;(l)} +$19O$_{2\;(g)} \enspace$$\enspace$12CO$_{2\;(g)} +$14H$_2$O$_{\;(g)}$

1. If 75g of C$_6$H$_{14}$ is burned, what mass of CO$_2$ would get produced from this reaction?
2. If 240g of H$_2$O is produced from this reaction, how many moles of C$_6$H$_{14}$ would be required?
3. At STP, what volume of O$_2$ would be required to produce 85 L of CO$_2$ in this process?
4. What mass of C$_6$H$_{14}$ would be required to produce 15 moles of CO$_2$?
2. Calculate the masses and volumes of reactants and products used in chemical reactions.
Consider the reaction:

P$_{4\;(s)} +$5O$_{2\;(g)} \enspace$$\enspace$P$_4$O$_{10\;(s)}$

1. At STP, what volume of O$_2$ gas is needed to completely combust 2kg of P$_4$?
2. If 25 L of O$_2$ were available, how much mass of P$_4$ could be reacted with?
3. What mass of P$_4$O$_{10}$ would be produced by this?
3. Calculate the volume and number of moles of reactants involved in chemical reactions.
Consider the reaction:

2NH$_{3\;(aq)} \,+ \,$NaOCl$_{\;(aq)} \enspace$$\enspace$N$_2$H$_{4\;(aq)} \,+ \,$NaCl$_{\;(aq)} \,+ \,$H$_2$O$_{\;(l)}$

1. If 5000 kg of hydrazine (N$_2$H$_{4}$) is required from this industrial process, how much ammonia gas (in L completely dissolved in solution at STP) is required as starting material?
2. How many moles of hydrazine could be produced if only 5 kg of NaOCl was available?
4. Calculate the volume of reactants required in a chemical process.
Consider the reaction:

SiCl$_{4\;(g)} \, + \,$2H$_{2\;(g)} \enspace$$\enspace$Si$_{\;(s)} \, + \,$4HCl$_{\;(g)}$

500 mg of Si is required from this process. What is the total volume, in L, of H$_2$ and SiCl$_4$ required to produce this?