If I had the equation

H2 + I2 --> 2HI

could I write the rate of reaction as

d[H2 + I2]/dt = k[H2]^x[I2]^y
were x is the order of reaction with respect to x and y is just the order of reaction with respect to y

thanks

well i guess I need the negative sense it's the reactant

-d[H2 + I2]/dt = k[H2]^x[I2]^y

is this correct?

Yes, you can write the rate of reaction for the given equation as:

d[H2 + I2]/dt = k[H2]^x[I2]^y

In this rate equation, [H2] and [I2] represent the concentrations of hydrogen gas and iodine gas, respectively. The rate of reaction is the change in concentration of the reactants per unit of time (dt).

The variables x and y represent the orders of the reaction with respect to the reactants H2 and I2, respectively. These orders determine how changes in the concentration of the reactants affect the rate of the reaction.

To determine the values of x and y, experimental data is required. The rate equation is determined by analyzing the experimental results and observing how changes in the concentrations of the reactants affect the rate. Typically, this involves conducting multiple experiments with different initial concentrations of the reactants and measuring the rate of reaction at each condition.

Once you have the experimental data, you can use the method of initial rates or graphical analysis (such as the method of integrated rate laws) to determine the values of x and y. These values represent the order of reaction with respect to each reactant.

Finally, the constant k in the rate equation represents the rate constant. This constant is specific to a particular reaction and temperature. Its value is determined experimentally as well, usually by conducting experiments at different temperatures and measuring the corresponding rates of reaction.

In summary, the rate equation you provided is a general form for representing the rate of reaction for the given chemical equation. The values of x, y, and k need to be determined experimentally using data obtained from actual experiments.