Question

X= (7.2×10³ M⁻² s⁻¹)(0.47 M)³

Solve for x.
a. 0.965 × 10⁸ M⁻⁵ s⁻³
b. 2.68 × 10⁴ M⁻² s⁻¹
c. 8.5 × 10¹⁰ M⁻⁸ s⁻⁴
d. 1.05 × 10⁵ M⁻⁴ s⁻²

Answer 1

After cubing the molarity and multiplying it by the given rate constant, the value of x is found to be 7.48 × 10⁻² M⁻⁵ s⁻³, which does not match any of the given options.

Step-by-step explanation:

To solve for x, we must calculate the following expression: x = (7.2×10³ M⁻² s⁻¹)(0.47 M)³. First, we raise 0.47 M to the third power to find the cube of the molarity.

(0.47 M)³ = (0.47)³ = 0.103823 M³

Next, we multiply the rate constant by the cubed molarity:

x = (7.2×10³ M⁻² s⁻¹) × (0.103823 M³)

x = 747.5328 M¹ s⁻¹

To express this value in scientific notation, we get:

x = 7.475328 × 10⁴ M¹ s⁻¹ or 7.48 × 10⁴ M± s⁻¹ when rounded correctly.

Since the correct units should be M⁻⁵ s⁻³, we adjust the exponent by subtracting six from the power of ten (because we are dividing by M⁻² and multiplying by M³) and get:

x = 7.48 × 10⁻² M⁻⁵ s⁻³, which is not listed in the given options.