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18-Env-B9 Environmental Chemistry and Microbiology · May 2016

Question 2 of 20: Moles of Na 2 SO 4

Nivaar worked solution (AI-drafted; not reviewed by a licensed engineer)

Notes on this paper

National Exams — May 2016 — 04-Env-B9, Environmental Chemistry/Microbiology. 3 hours duration; closed-book exam (one 8.5×11" aid sheet, both sides, permitted; any non-communicating calculator permitted). The paper has two sections — Section 1: Chemistry (8 questions, 50 marks) and Section 2: Microbiology (12 questions, 50 marks) — twenty questions constitute the complete exam and all are answered below. Total examination mark 100.

Reference texts. Davis & Cornwell, Introduction to Environmental Engineering (6th ed.) (water chemistry, disinfection, water/wastewater microbiology, indicator organisms); Metcalf & Eddy (Tchobanoglous, Stensel, Tsuchihashi & Burton), Wastewater Engineering: Treatment and Resource Recovery (5th ed.) (chemical unit processes, chemical phosphorus precipitation, biomass stoichiometry, activated-sludge microbiology, BOD/SRT/F–M); Guidelines for Canadian Drinking Water Quality (Health Canada); MWH's Water Treatment: Principles and Design (3rd ed.) (advanced treatment, UV disinfection, potable reuse).

Section 1: Chemistry (8 questions, 50 marks)

Question 2: Moles of Na2SO4 (2 marks)

Question text not reproduced: the examination questions are © Engineers and Geoscientists BC. Open the official past paper (linked at the top of this page) to read the question, then follow the worked solution below.

Given. Mass of sample $m = 240\ \text{g}$; atomic weights $\text{Na}=23$, $\text{S}=32$, $\text{O}=16$.

Find. Moles of $\text{Na}_2\text{SO}_4$ in the 240 g sample.

Approach. Compute the molecular weight of $\text{Na}_2\text{SO}_4$ from its atoms, then divide the given mass by that molecular weight.

  1. Molecular weight of Na2SO4. Sum two Na, one S and four O: $$M=2(23)+32+4(16)=46+32+64=142\ \text{g/mol}$$
  2. Moles in the sample. Divide mass by molecular weight: $$n=\dfrac{m}{M}=\dfrac{240}{142}=\boxed{1.69\ \text{mol}}$$
QuantityValue
Molecular weight, Na2SO4142 g/mol
Moles in 240 g sample1.69 mol