When the numerator of any expression or fraction is zero then the result is zero because zero divided by any number is always equal to zero.
That is correct.
When the denominator is equal to zero, the expression is undefined. Close to those places, the expression tends towards plus infinity, or minus infinity. In other words, setting the denominator to zero will tell you where there are vertical asymptotes.
Double verticle lines surrounding an expression means to take the absolute value of the expression. The absolute value of an expression is the expression if it is positive, and the negative of the expression if it is negative, i.e. the unsigned distance from zero. Analytically, in order to process the expression, the absolute value of an expression is also the square root of the square of the expression.
A zero. Zero in the denominator make the expression undefined for algebraic purposes.
For a zero order reaction, the half-life is calculated using the equation: t1/2 = [A]0 / 2k, where [A]0 is the initial concentration of the reactant and k is the rate constant of the reaction. The half-life is independent of the initial concentration of the reactant in zero order reactions.
The order of the photoelectric reaction is zero order because the rate of the reaction does not depend on the concentration of the reactants. The rate is solely determined by the intensity of the incident light.
A zero-order reaction is independent of the concentration of reactants and proceeds at a constant rate. Light can influence the rate of a zero-order reaction by providing the activation energy needed for the reaction to occur. In some cases, light can also act as a catalyst, speeding up the reaction without being consumed itself.
If the order of a reactant is zero, its concentration will not affect the rate of the reaction. This means that changes in the concentration of the reactant will not change the rate at which the reaction proceeds. The rate of the reaction will only be influenced by the factors affecting the overall rate law of the reaction.
Photochemical reactions often involve the absorption of photons to initiate the reaction, rather than the concentration of reactants. This means that the rate of the reaction is not dependent on the concentration of reactants, leading to a zero order relationship between reactant concentration and reaction rate.
In C, any non-zero expression is true and any zero expression is false.
The order of a reaction can be determined graphically by analyzing concentration versus time data. For a first-order reaction, plotting ln(concentration) versus time should give a straight line. For a second-order reaction, plotting 1/concentration versus time should give a straight line. The slope of the line in these graphs reveals the order of the reaction.
When the numerator of any expression or fraction is zero then the result is zero because zero divided by any number is always equal to zero.
The unit of a first order reaction rate constant is time^-1. This means that the rate constant k has units of 1/time, such as s^-1.
A rate constant
In a zero order overall process, the rate and rate constant will be the same. (Reaction order is an exponent, and if that exponent is "0" then the value is "1" and will cancel out.)
The expression for equilibrium is when the rate of the forward reaction is equal to the rate of the reverse reaction and the concentrations of reactants and products remain constant over time. Mathematically, it can be represented as: [ \text{rate}{\text{forward}} = \text{rate}{\text{reverse}} ]