Ch_14_II_Calculations

# Ch_14_II_Calculations - Check Other Mathematical Methods...

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Equilibrium Calculations Reger et al p 604 Initial: Change: Eqm: 4 0.00200 4.00 10 5.00 mol x M L - = Initial [HI]: 0 0 +x -2x +x 4x10 -4 -2x x x Given [I 2 ] eqm = 3.8 x 10 -5 M = x 4x10 -4

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[HI] = 4x10 -4 -2x = 4x10 -4 -2(3.8 x 10 -5 ) = 3.24 x 10 -4 M [I 2 ] = 3.8 x 10 -5 M Equilibrium concentrations: [H 2 ] = 3.8 x 10 -5 M [ ][ ] [ ] ( 29 ( 29 ( 29 5 5 2 2 2 2 4 3.8 10 3.8 10 0.0138 0.014 3.24 10 x M x M H I HI x M - - - = = K c =
y = 0.00286 M Reger et al p 606

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You should always check your results:
[PCl 3 ] = (0.600M) = 0.200M 1.00L 3.00L [Cl 2 ] = (0.150M) = 0.100M 2.00L 3.00L Reger p 608

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y = 1.60(0.200 –y)( 0.100 –y) 1.6y 2 – 1.48y + 0.032 = 0 2 4 2 b b ac y a - ± - = ( 29 ( 29( 29 ( 29 2 1.48 1.48 4 1.6 0.032 1.48 1.409 0.90,0.022 2 1.6 3.2 y ± - - ± = = = y = 0.0222 M Why? Solving using quadratic equation

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Unformatted text preview: Check Other Mathematical Methods Plotting: Plot TI-83 on calculator use Y= (upper left) WINDOW (to the right of Y=) Xmin = 0 Xmax = 0.1 Ymin = -0.1 Ymax = 0.1 Find x for y =0 use TRACE for approximate 0 For accurate 0: CALC and 2: zero ( 29( 29 1.6 0.2 0.1 x x x =---( 29( 29 1 1.6 0.2 0.1 x Y x x =---Appendix has additional information 2 17 0.100 8 10 x x x-+-= Quadratic Equation Does Not Always Work 2 4 2 b b ac x a- ±-= ( 29 ( 29 2 17 0.100 0.1 4 1 8 10 0.100, 0 2 x x--±--= = -17 16 0.100 8 10 8.0 10 x x x x---= ⇒ =...
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Ch_14_II_Calculations - Check Other Mathematical Methods...

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