11. Concentration of substance at equilibrium = Initial concentration - Change in concentration.
Let x be the change in concentration, then
For [C]
0.16 = 0.40 - x
x= 0.40 - 0.16
x = 0.24 M
Now for [E]
Concentration of [E] at equilibrium = Initial concentration - Change in concentration
[E] = 0.50 - x
[E] = 0.50 - 0.24
[E] = 0.26 M
12. Cl2 goes from oxidation state 0 to oxidation states -1
Cl2 + 2e- = 2 Cl-
Cl2 goes from oxidation state 0 to oxidation states
+1
Cl2 + 2 H2O = 2 OCl- + 4
H+ + 2e-
Adding above two equations we have
2 Cl2 + 2 H2O = 2 Cl- + 2
OCl- + 4 H+
divide by 2
Cl2 + H2O = Cl- + OCl-
+ 2 H+
add 2 OH- on the left and on the right side for charge
balancing (remember that 2 H+ + 2 OH- = 2
H2O)
Cl2 + 2 OH- = Cl- +
OCl- + H2O
charges, (-2) + (0) => (-1) + (-1) + (0).
So (-2) => (-2). So charge balance is also ok.
Hence no. of electrons are 2
13. Solubility of Mg(OH)2 in pure water = 0.40 g/L
moles of solute = 0.40 / molar mass
moles of solute =0.40/58 = 0.0068966 = 6.897 x 10-3 mol
Molarity = mole of solute / Volume in L
Molarity = 6.897 x 10-3 mol / 1 L = 6.897 x 10-3 mol/L
Ksp for Mg(OH)2= [Mg2+] x [OH-]2
Let [Mg2+] = [OH-]2 = s
then,
Ksp for Mg(OH)2 = s x (2s)2= 4s3
Ksp = 4 x (6.897 x 10-3mol/L)3
Ksp = 13.124 x 10-7 mol3/L3
onsider the reactin 3E4) The otou in c anda.SMnE.At equslu - - D+4-E 0-0-50. +x+X 3...
4-1. Suppose that f(x)-e-x for 0 < x. Determine the fol- lowing probabilities: (c) P(X= 3) (e) P(3 s x) (d) P(X<4)
1) Suppose U, V, W U(0, 5), Determine P[ min(U, V, W) 1 a).578 b) .488 c).384 d) .462 e) .340 2) Suppose W has pdf f(x) P(W <.70 I W>.50) 2x, 0 < x <1. Determine a) .425 b).372 ).393 d).320 e) 456 3) 20% of employees at Acme Piston & Valve have college degrees. f those with a college degree, 56% are in the valve-worker's union. Of those without a college degree, 90% are in the valve- worker's...
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Find C(A) 1 A = - 3 4 -1 9 -2 6 -6 -1 -10 -3 9 -6 -6 -3 3 -9 4 9 0 a. -1 -1 C(A) = b. O NO C(A) = -4 2 10 C(A) = -3 -4 d. -2 C(A) = -6 -6 -3 3 e. 4 9 1 -2 -6 -10 C(A) -3 -3 3 4 0 Of. 0 C(A) = O O 0 O O O...
The function F(x)= x^3/16 - 3*x^4/256 for 0 ≤ x ≤ 4 , 0 for x < 0 and 1 for x > 4 is the CDF of a random variable X. Using R: a) Using R, create a user-defined function for F in the interval [0,4]. b) Using this F, find the probability that X < 2.5 c) Using F, find the probability that X > 1.5 d) Using F, find the probability that 1.7 < X < 3.4...
3. (50 pts) Let (X,Y) have joint pdf given by -{ c, lyl< x, 0 < x < 1, f(x,y) = 0, 0.w., (a) Find the constant c. (b) Find fx(x) and fy(y) (c) For 0< x<1, find fy x-() and pyix- and ox (d) Find Cov(X, Y) (e) Are X and Y independent? Explain why
onsider the sampling and reconstruction system shown in the figure. x(t) IdealIdeal) D-to-C Converter Converter Assume that the sampling rates of the C-to-D and D-to-C converters are equal, and the input to the Ideal C-to-D converter is x(t) = 2 cos (2m(50)t +π) + cos(2π(150e) a. (5) If the output of the Ideal D-to-C converter is equal to the input x(t) i.e. ()2 cos (2m(50)t +7)+cos(2(150)) b. (5) If the sampling rate is fs = 250 samples/sec, determine the discrete-time...
3. (50 pts) Let (X, Y) have joint pdf given by c, y x, 0 < x < 1, f(x, y) 0, o.w., (a) Find the constant c. (b) Find fx(x) and fy (y) (c) For 0 < 1, find fyx=x(y) and pyjx=x and oy Y|X=x (d) Find Cov(X, Y) (e) Are X and Y independent? Explain why.
Question 8 З рі (a) Population :e-44"/x!, x > 0 (b)u =? (c)o? =? (d)n = 9 (e)ā value = a = 4.5 (f) sem = (g)z = (h)Compute P(3< X<a) Step 1: What is your sem? (Rounded to four decimal places entered as ***** Step 2: What is your z score for a value only, rounded to two decimal places? (enter it as ***) Step 3: What is your answer to part (h), required probability, rounded to four decimal...
State whether the following statements are true or false as x→00 (c)x-O(x+6) (g) In x-o(in 2x) (a) x- o(3x) (d) x = 0(2x) (h) yx2 + 6 =0(x) (e) e x = o(e4x) (f) 3x + Inx=0(x) (a) Is x = 0(3x) as x→ oo true or false? O False O True b) Is x = 0(x + 6) as x→ oo true or false? False O True (c) Is x-O(x + 6) as x-> oo true or false? O...
Which of the following is not a topological ordering for the graph: A ) O f, e, d, a, c, b O f, a, b, d, e, c O e, f, a, d, c, b O f,a,c,e,d,b QUESTION 4 Which of the following is not part of the definition of a flow? The flow out of the source is 0. O The flow into a vertex (not the source or drain) equals the flow out of that vertex. O The...