Solve for x where M is molar and S is seconds

Question

Solve for x, where M is molar and S is seconds.

x=(8.4 x 10^3 M^-2 s^-1)(0.19M)^3

Answer 1

Hello, Chris,

Let's do the numbers separate from the units, to help keep the computation clear.

x=(8.4 x 10^3 M^-2 s^-1)(0.19M)^3

Can be rewritten as

x=(8.4 x 10³ M^-2 s^-1)(0.19M)³

Taking just the numbers: (8.4 x 10³)(0.19)³

(8.4 x 10³)(6.859 x 10^-3)

The powers of 10 cancel (3+(-3)=0) to 10⁰, or 1.

That leaves 8.4 x 6.859

I get a value of 57.6.

The units: (M^-2 s^-1)(M)³ reduces to Moles/sec, the rate of the reaction.

The answer is 57.6 M/s

Bob