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# Lec7 - Ozone combines with nitric oxide from car exhaust to...

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1 Ozone combines with nitric oxide from car exhaust to form a noxious brown gas , nitrogen dioxide. What is the value of the equilibrium constant, K 3 , for this reaction? R1: 3 O 2 2 O 3 K 1 = 6.0 x 10 -58 R2: 2 NO + O 2 2 NO 2 K 2 = 2.0 x 10 12 R3: NO + O 3 NO 2 + O 2 K 3 = ? Combine R1 and R2 to get R3. Then combine K 1 and K 2 appropriately to get K 3 . 2 R1: 3 O 2 2 O 3 K 1 = 6.0 x 10 -58 R2: 2 NO + O 2 2 NO 2 K 2 = 2.0 x 10 12 R3: NO + O 3 NO 2 + O 2 A) K 3 = K 1 + K 2 B ) K 3 = K 2 –K 1 C) K 3 = (K 1 x K 2 ) 2 D) K 3 = (K 1 / K 2 ) 1/2 E) K 3 = (K 2 / K 1 ) 1/2 Equilibrium Constants of Related Reactions

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3 Solution R1: 3 O 2 2 O 3 R2: 2 NO + O 2 2 NO 2 R3: NO + O 3 NO 2 + O 2 K 3 = ? Reverse #1 2O 3 3 O 2 K -1 = 1/K 1 Add to #2 2NO + O 2 + 2O 3 2NO 2 + 3O 2 K 2-1 = K 2 /K 1  3 2 2 3 1 O O K ] [ ] [ 2 2 2 2 2 O NO NO K ] [ ] [ ] [ ] [ 2 2 2 3 2 2 3 2 1 2 O NO O NO O K 2 4 R1: 3 O 2 2 O 3 R2: 2 NO + O 2 2 NO 2 R3: NO + O 3 NO 2 + O 2 R2-1: 2NO + 2O 3 2NO 2 + 2O 2 K 2-1 = K 2 /K 1 Compare with R3 and K 3   3 2 2 3 1 O O K ] [ ] [ 2 2 2 2 2 O NO NO K 2 2 3 2 2 2 2 1 2 ] [ ] [ ] [ NO O NO O K NO O NO O K ] [ ] ][ [ 3 2 2 3 So K 3 = (K 2 /K 1 ) 1/2
6 Solar ID Room 000000000 – 107249836 Javits 100 Main Floor 107249837 – 107474159 Javits 100 Balcony 107474160 – 107530312 Earth & Space Science 001 107530313 – 107623630 Javits 102 107623631 – 107677783 Harriman 137 107677784 – 107708108 Engineering 143 107708109 – 107757140 Engineering 145 107757141 – 107789200 Light Engineering 102 107789201 – 107803236 Javits 101 107803237 – 107834412 Javits 103 107834413 – 107874571 Javits 109 107874572 – 999999999 Javits 111

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Lec7 - Ozone combines with nitric oxide from car exhaust to...

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