Carbon dioxide is eliminated from pyruvate ions by a decarboxylase enzyme through the following first order reaction

Pyruvate(l) goes to CO2(g) + acetaldehyde(l)

For a reaction where the system was maintained at 90 degrees celcius the partial pressure of CO2 was monitored in a 250 ml flask above the solution. in 522 seconds the partial pressure incrased by 100 pa. the initial concentratio of pyruvate ions was 3.23mMin 100 ml of solution. calculate the rate constant for the rection.