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Elemental S reacts with O₂ to form SO₃ according to the reaction as depicted here. (Figure 1) 2S+3O₂→2SO₃ How many O₂ molecules are needed to react with 8.58 g of S? Express your answer numerically in units of molecules. ► View Available Hint(s) Ο ΑΣΦ? 6.022.1023 Submit Previous Answers Request Answer Incorrect; Try Again; 4 attempts remaining molecules Figure Part B What is the theoretical yield of SO, produced by 8.58 g of S? Express your answer numerically in grams. ► View Available Hint(s) Ο ΑΣΦ? Review | Constants F Submit Limiting reactant Next, consider a situation in which all of the S is consumed before all of the O₂ reacts, or one in which you have excess S because all of the O₂ has been used up. 1 of 1 Part C

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Exercise 3 (Ex. 41, Chapter 3 of [Martin; 2011]). For each of the following regular expressions, draw an NFA accepting the corresponding language, so that there is a recognizable correspondence between the regular expression and the transition diagram. b. $(a + b)^{*} (abb + ababa) (a + b)^{*} e. (a^{*}bb)^{*} + bb^{*}a^{*}$

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What's More A. Independent Activity 1 Directions: Fill in each space to complete true inequality statements by considering the figure below. 1. If $ m \angle e=48 $ and $ m \angle v=22 $, then $ m \angle l $ $ \qquad $ 2. If $ m \angle 0=40 $ and $ m \angle e=35 $, then $ m \angle l $ $ \qquad $ 3. If $ m \angle 0=48 $ and $ m \angle v=25 $, then $ m \angle l $ $ \qquad $ 4. If $ m \angle 0=32 $ and $ m \angle e=16 $, then $ m \angle l $ $ \qquad $ 5. If $ m \angle 0=37 $ and $ m \angle v=34 $, then $ m \angle l $ $ \qquad $

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Cherie is brought to the emergency department by her brother after slashing her wrist with a razor. She has previously been in the emergency department for a drug overdose and has a history of addictions. Cherie can be sarcastic, belittling, and aggressive to those who try to care for her. She has a history of difficulty with interpersonal relationships at her job. When the psychiatric triage nurse comes in to see her, Cherie is initially adoring and compliant, telling him, “You are the best nurse I’ve ever had, and I truly want to change.” But when he refuses to support her request for diazepam (Valium) and meperidine (Demerol) for “pain,” she yells at him, “You are a stupid excuse for a nurse. I want to see the doctor immediately.” Cherie has BPD. How do family members of a person with BPD typically describe their experiences of living with the person?

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3. Determine the rate law and the value of k for the following reaction using the data provided. CO(g) + Cl$_2$(g) $\rightarrow$ COCl$_2$(g) [CO]$_i$ (M) [Cl$_2$]$_i$ (M) Initial Rate (M s$^{-1}$) 0.25 0.40 0.696 0.25 0.80 1.97 0.50 0.80 3.94 4. An Arrhenius plot for the temperature dependence of the rate constant for the following reaction is found below. Find the activation energy and the frequency factor for this reaction. NO(g) + O$_3$(g) $\rightarrow$ NO$_2$(g) + O$_2$(g) In(k) vs. 1/T y = -1435.7x + 28.071

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As part of a project, Thomas has developed two algorithms for solving key portions of the project. The algorithm for step A involves two nested loops and can be completed in approximately $3n^2 - n$ steps, the algorithm for step B uses a divide and conquer strategy and can be completed in $2n \log n$ steps for an input sequence of size n. If step B always follows step A, what is the time complexity of this portion of the project? $O(n \log n)$ $O(n^2)$ $O(n^2 + n \log n)$ $O(n^3 \log n)$

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(10 marks) You are going on a cruise to the Caribbean, how many ways can you choose a) 3 of your 6 bathing suits. Explain your reasoning, b) 3 of your 6 bathing suits and 6 of your 15 tank tops. Explain your reasoning.

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The competitive market price has recently dropped below your average total cost, but above your average variable cost. You should continue to produce in the short run, since you're in the breakeven range.

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John, who has a mass of 71.00 kg, is testing out a device where John is fired out of a horizontally arranged cannon across a nearly frictionless surface. After John is fired, he grabs a long rope whose other end is firmly attached to a pivot that is firmly anchored in the floor. The rope initially lies perpendicular to John's line of motion, and when he grabs it, he stars sliding in circular motion around the pivot and continues to revolve until he comes to rest. A tensiometer on the rope measures the initial tension in the rope at 1423N. If the coefficient of kinetic friction between John and the surface is 0.04552, how many revolutions will John slide through before he comes to a stop?

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Use the graph of the known basic function and a combination of transformations to sketch the function. g(x) = -3(2 - x)$^3$ + 1 Use the graphing tool to graph the function.

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