Determine whether the statements given below are true or false. (a) The mass of an atom can have the unit mole. (b) In \(\mathrm{N}_{2} \mathrm{O}_{4}\), the mass of the oxygen is twice that of the nitrogen. (c) One mole of chlorine atoms has a mass of \(35.45 \mathrm{~g}\). (d) Boron has an average atomic mass of \(10.81\) amu. It has two isotopes, \(\mathrm{B}-10(10.01\) amu \()\) and \(\mathrm{B}-11(11.01 \mathrm{amu}) .\) There is more naturally occurring B-10 than B-11. (e) The compound \(\mathrm{C}_{6} \mathrm{H}_{12} \mathrm{O}_{2} \mathrm{~N}\) has for its simplest formula \(\mathrm{C}_{3} \mathrm{H}_{6} \mathrm{ON}_{1 / 2}\). (f) A 558.5-g sample of iron contains ten times as many atoms as \(0.5200 \mathrm{~g}\) of chromium. (g) If \(1.00\) mol of ammonia is mixed with \(1.00\) mol of oxygen the following reaction occurs, $$ 4 \mathrm{NH}_{3}(g)+5 \mathrm{O}_{2}(g) \longrightarrow 4 \mathrm{NO}(g)+6 \mathrm{H}_{2} \mathrm{O}(l) $$ All the oxygen is consumed. (h) When balancing an equation, the total number of moles of reactant molecules must equal the total number of moles of product molecules.

Step by step solution

01

Answer

False. The mass of an atom is typically measured in atomic mass units (amu), not in moles. A mole is a unit of measurement used for counting entities like atoms or molecules. #b) True or False: In \(\mathrm{N}_{2} \mathrm{O}_{4}\), the mass of the oxygen is twice that of the nitrogen.#

02

Answer

True. In \(\mathrm{N}_{2} \mathrm{O}_{4}\), there are 2 nitrogen atoms and 4 oxygen atoms. Since the molar mass of nitrogen is approximately 14 g/mol and the molar mass of oxygen is approximately 16 g/mol, the mass of oxygen in the molecule is indeed twice the mass of nitrogen: \((2 \times 14) = (4\times 16)\) #c) True or False: One mole of chlorine atoms has a mass of \(35.45 \mathrm{~g}\).#

03

Answer

True. The atomic mass of chlorine is approximately 35.45 amu. Therefore, one mole of chlorine atoms would have a mass of 35.45 g/mol. #d) True or False: There is more naturally occurring B-10 than B-11.#

04

Answer

False. Boron has an average atomic mass of 10.81 amu, which is closer to the atomic mass of B-11 (11.01 amu) than to the atomic mass of B-10 (10.01 amu). This indicates that there is a higher abundance of B-11 isotopes compared to B-10 isotopes. #e) True or False: The compound \(\mathrm{C}_{6} \mathrm{H}_{12} \mathrm{O}_{2} \mathrm{~N}\) has for its simplest formula \(\mathrm{C}_{3} \mathrm{H}_{6} \mathrm{ON}_{1 / 2}\).#

05

Answer

False. A simplest formula should not have fractional values for the subscripts. The simplest formula for the given compound is \(\mathrm{C}_{6} \mathrm{H}_{12} \mathrm{O}_{2} \mathrm{N}\). #f) True or False: A 558.5-g sample of iron contains ten times as many atoms as \(0.5200 \mathrm{~g}\) of chromium.#

06

Answer

True. To compare the number of atoms in both samples, we have to convert grams to moles. Using the molar mass of iron (55.85 g/mol) and chromium (51.996 g/mol): Moles of iron = \(\frac{558.5 \, \text{g}}{55.85 \, \text{g/mol}} \approx 10 \, \text{moles}\) Moles of chromium = \(\frac{0.5200\, \text{g}}{51.996 \, \text{g/mol}} \approx 0.01 \, \text{moles}\) Ten times the moles of chromium is equal to the moles of iron, indicating they contain the same number of atoms. #g) True or False: All the oxygen is consumed in the reaction.#

07

Answer

True. The reaction is balanced and shows that 5 moles of oxygen react with 4 moles of ammonia. If 1 mole of each reactant is mixed, the oxygen will be consumed completely since the ratio of moles of reactants matches the stoichiometry of the balanced equation. #h) True or False: When balancing an equation, the total number of moles of reactant molecules must equal the total number of moles of product molecules.#

08

Answer

False. When balancing an equation, it is the total number of atoms for each element that must be equal on both sides of the reaction, not the moles of the reactants and products.

Unlock Step-by-Step Solutions & Ace Your Exams!

• Full Textbook Solutions

  Get detailed explanations and key concepts

• Unlimited Al creation

  Al flashcards, explanations, exams and more...

• Ads-free access

  To over 500 millions flashcards

• Money-back guarantee

  We refund you if you fail your exam.

Start your free trial

Over 30 million students worldwide already upgrade their learning with Vaia!