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where ln denotes the natural logarithm, is the thermodynamic equilibrium constant, and R is the ideal gas constant.This equation is exact at any one temperature and all pressures, derived from the requirement that the Gibbs free energy of reaction be stationary in a state of chemical equilibrium.
An example is a hydrogen atom abstraction reaction R' + H–R ⇌ R'–H + R with equilibrium constant K H, where R' and R are organic radicals such that R' forms a stronger bond to hydrogen than does R.
For example, a mixture of SO 2 and O 2 is metastable as there is a kinetic barrier to formation of the product, SO 3. 2 SO 2 + O 2 ⇌ 2 SO 3 The barrier can be overcome when a catalyst is also present in the mixture as in the contact process , but the catalyst does not affect the equilibrium concentrations.
For example, carbonic acid: H 2 CO 3 (l) + H 2 O (l) ⇌ HCO 3 − (aq) + H 3 O + (aq) . The concentrations of reactants and products in an equilibrium mixture are determined by the analytical concentrations of the reagents (A and B or C and D) and the equilibrium constant , K .
Equivalent Spring Constant (Series) When putting two springs in their equilibrium positions in series attached at the end to a block and then displacing it from that equilibrium, each of the springs will experience corresponding displacements x 1 and x 2 for a total displacement of x 1 + x 2.
[c] [2] For example, a hypothetical weak acid having K a = 10 −5, the value of log K a is the exponent (−5), giving pK a = 5. For acetic acid, K a = 1.8 x 10 −5, so pK a is 4.7. A higher K a corresponds to a stronger acid (an acid that is more dissociated at equilibrium).
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Some multistep reactions can also have apparent negative activation energies. For example, the overall rate constant k for a two-step reaction A ⇌ B, B → C is given by k = k 2 K 1, where k 2 is the rate constant of the rate-limiting slow second step and K 1 is the equilibrium constant of the rapid