To determine the rate of the reaction that follows the rate law rate = k[A]^m[B]^n, where k = 3 M^(-2) s^(-1), [A] = 2 M, and [B] = 3 M, we first need to substitute these values into the rate law. Given that m = 2 and n = 3, the rate can be calculated as follows: Rate = k[A]^m[B]^n = 3 M^(-2) s^(-1) * (2 M)^2 * (3 M)^3 = 3 * 4 * 27 = 324 M/s. Thus, the rate of the reaction is 324 M/s.
The rate law expresses the relationship between the rate of a chemical reaction and the concentrations of the reactants. It is typically formulated as Rate = k[A]^m[B]^n, where k is the rate constant, and m and n are the reaction orders for reactants A and B, respectively. The exponents indicate how the rate is affected by changes in concentration; for example, if m = 1, doubling the concentration of A will double the reaction rate, whereas if m = 2, the rate will quadruple. Thus, the rate law quantitatively illustrates how variations in reactant concentrations influence the overall reaction rate.
To find the rate of the reaction, we can use the given rate law: ( \text{rate} = k[A]^m[B]^n ). Substituting the values, we have ( k = 0.02 , \text{M}^{-1}\text{s}^{-1} ), ( [A] = 3 , \text{M} ), and ( [B] = 3 , \text{M} ) with ( m = 1 ) and ( n = 2 ). Thus, the rate is calculated as: [ \text{rate} = 0.02 \times (3)^1 \times (3)^2 = 0.02 \times 3 \times 9 = 0.54 , \text{M/s} ] Therefore, the rate of the reaction is 0.54 M/s.
The rate constant can be determined from the rate law by rearranging the rate equation to isolate the constant. For a reaction with a rate law of the form ( \text{Rate} = k[A]^m[B]^n ), where ( k ) is the rate constant, ( [A] ) and ( [B] ) are the concentrations of the reactants, and ( m ) and ( n ) are their respective orders, one can measure the reaction rate at known concentrations. By substituting these values into the rate law and solving for ( k ), the rate constant can be calculated. This process often involves experimental data collected under controlled conditions.
The rate law expresses the relationship between the rate of a chemical reaction and the concentrations of the reactants. It is typically formulated as Rate = k[A]^m[B]^n, where k is the rate constant, [A] and [B] are the concentrations of the reactants, and m and n are the reaction orders which indicate how the rate changes with concentration. If the concentration of a reactant increases, the rate of reaction will typically increase as well, depending on its exponent in the rate law, reflecting the dependency of reaction kinetics on reactant concentrations. Thus, the rate law quantitatively describes how variations in concentration influence the speed of the reaction.
Rate = k[A]m[B]n
They are experimentally determined exponents.
The rate of the reaction can be calculated using the rate law rate = k[A]^m[B]^n. Plugging in the given values: rate = 0.02*(3)^3*(3)^3 = 0.022727 = 14.58 M/s.
5.4 (apex)
The general form of a rate law is rate = k[A]^m[B]^n, where rate is the reaction rate, k is the rate constant, [A] and [B] are the concentrations of reactants A and B, and m and n are the respective reaction orders for A and B.
The rate of the reaction can be calculated using the rate law equation rate = k[A]^m[B]^n. Plugging in the given values k = 0.2, m = 1, n = 2, [A] = 3 M, and [B] = 3 M into the equation gives rate = 0.2 * (3)^1 * (3)^2 = 16.2 M/s.
The rate law expresses the relationship between the rate of a chemical reaction and the concentrations of the reactants. It is typically formulated as Rate = k[A]^m[B]^n, where k is the rate constant, and m and n are the reaction orders for reactants A and B, respectively. The exponents indicate how the rate is affected by changes in concentration; for example, if m = 1, doubling the concentration of A will double the reaction rate, whereas if m = 2, the rate will quadruple. Thus, the rate law quantitatively illustrates how variations in reactant concentrations influence the overall reaction rate.
4.5 (mol/L)/s
They are experimentally determined exponents
r=[A]m[B]n APPLEX
The equation is called the rate law equation. For the reaction aA+bB =>cC+dD the rate law would be rate = k[A]^m[B]^n where k is the rate constant and m and n are the "order" with respect to each reactant. m and n must be determined experimentally and may or may not be the same as the coefficients a and b.
The rate constant can be determined from the rate law by rearranging the rate equation to isolate the constant. For a reaction with a rate law of the form ( \text{Rate} = k[A]^m[B]^n ), where ( k ) is the rate constant, ( [A] ) and ( [B] ) are the concentrations of the reactants, and ( m ) and ( n ) are their respective orders, one can measure the reaction rate at known concentrations. By substituting these values into the rate law and solving for ( k ), the rate constant can be calculated. This process often involves experimental data collected under controlled conditions.