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Simplify. 5! Question content area bottom Part 1 5!equalsenter your response here (Simplify your answer. Type an integer or a fraction.)
1a1-Counting Your Material Aluminum Oxide ($Al_2O_3$) 3 lb = 1359 g Atomic mass of each element in your material Al 26.98g/mol O 16g/mol O 16g/mol # of molecules in 3 lb 1.352e12 # of atoms of each element in 3 lb Al 1.352e12 O 2.705e12 O 2.705e12 # of total protons in 3 lb 6.386e12 # of total electrons in 3 lb 6.386e12 * protons and electrons are equal because $Al_2O_3$ is neutral # of total neutrons in 3 lb 6.598e12 WORKSPACE Al 26.98 g/mol $Al_2O_3$ 26.98 g/mol + 16g/mol + 16g/mol = 58.98 g/mol 1359 g 58.98 g/mol = 23.042 moles $Al_2O_3$ # of molecules = 23.042 mol $\cdot$ 6.023e23 molecules/mol = 1.352e12 molecules # of atoms Al = 1.352e12 atoms Al # of atoms O = 2(1.352e12 atoms) = 2.705e12 atoms O # of protons = 13(1.352e12 Al) + 8(2.705e12 O) = 6.383e12 # of neutrons = Al = 26.98 - 13 = 13.98 O = 16 - 8 = 8 $Al_2O_3$ 13.98(1.352e12 atoms Al) + 8(2.705e12 atoms O) = 6.598e12 1a2 Density and Volume Your Material $Al_2O_3$ 8 oz = 236.8 cm³ Density of your Material 3.99 g/cm³ Mass of 8 oz of your material 944.89 g Number of Molecules in 8 oz of your material 940.2e9 Number of Atoms of each element in 8 oz Al 940.2e9 O 15.24e6 O 15.24e6 WORKSPACE 8 oz = 8 oz $\cdot$ 29.6cm³/102 = 236.8cm³ Volume = mass/density $M_{Al_2O_3}$ = $\rho \cdot V$ = 3.99g/cm³ $\cdot$ 236.8cm³ = 944.8g #moles = 944.8g / 58.98 g/mol = 16.02 moles # molecules = 16.02 moles $\cdot$ 6.023e23 molec/mol = 940.2e9 molecules # atoms Al = 940.2e9 atoms Al # atoms O = 2(940.2e9) = 15.24e6
Attempts: Late Submiss O Chapter 1 and Word The combining form that means "almond," as in almond-shaped, is trache/o ot/o tonsill/o ocul/o Review
Part A A 2.0 kg book is lying on a 0.80 m -high table. You pick it up and place it on a bookshelf 2.3 m above the floor. During this process, how much work does gravity do on the book? Express your answer with the appropriate units. $W_g$ = Value Units Submit Request Answer Part B During this process, how much work does your hand do on the book? Express your answer with the appropriate units. $W_h$ = Value Units Submit Request Answer Provide Feedback
Q\\ Pi = 4000 Psi, Pb = 3000 Psi, Pwf = 2000 Psi\\ Find: ? ?\\ ? J?\\ ? J?max\\ ? J? @ Pwf = 3500\\ ? J? @ Pwf = 1000\\ Plot IPR curve\\ P_{wf} < P_b^2\\ 1) ? = \frac{2}{P_i - P_b + \frac{P_b}{1.8} [1 - 0.2(\frac{P_{wf}}{P_b}) - 0.8(\frac{P_{wf}}{P_b})^2]}\\ 2) J_b = J(P_i - P_b)\\ 3) J_0 = J_b + \frac{J_b}{1.8} [1 - 0.2(\frac{P_{wf}}{P_b}) - 0.8(\frac{P_{wf}}{P_b})^2]
Question 1 Not yet answered Marked out of 1.00 Flag question The voltage $v_1$ in the following circuit using Loop Current Method is 8 ? $i_1$ $i_3$ a $i_2$ + $v_1$ - + $v_2$ - + $v_3$ - 30 V (+) Loop 1 3 ? Loop 2 6 ? Select one: a. 24 V b. 2.4 V c. 6 V d. 0.6 V
(10 points) Let $f(x) = \begin{cases} 2 + x, & \text{if } x < 3\\ 8 - x, & \text{if } x \ge 3 \end{cases}$ Evaluate the following expressions. $\lim_{x \to 3^-} f(x) =$ $\lim_{x \to 3^+} f(x) =$ $f(3) = $
Calian wants to take 12 lb of chocolate on a trip. If he already has chocolate bars weighing 1 lb 3 oz, and 2 lb 8 oz., how much more does he need to take? Calian needs lb and oz. more chocolate.
QUESTION 5 Table 11.2 Marginal Workers Total Revenue per Day Total Product Marginal Product Revenue Product (5) (5) 0 0 - 0 1 100 1,000 1,000 2 95 1,950 950 3 285 90 900 4 370 3,700 850 5 80 4,500 800 Refer to Table 11.2, which shows the product price of a perfectly competitive firm and the output produced by the firm. When do increasing marginal returns first became evident? a. after the third worker b. after the first worker c. never d. after the second worker e. after the fourth worker
What is the net present value of the following project if the required rate of return is 15%? The initial investment is $150,000. Years 1 Cash Flows $30,000 2 $80,000 3 $100,000 4 $200,000 a. $116,681 b. $150,000 c. $180,665 d. $203,690
