Question

a lab experiment begins with 500 milliliters of a chemical solution. the amount decreases by approximately 7% per hour due to evaporation. what is the estimated quantity of the solution after 5 hours? 330 milliliters 360 milliliters 350 milliliters 340 milliliters

Explanation:

Step1: Identify the decay - formula

The formula for exponential decay is $A = P(1 - r)^t$, where $P$ is the initial amount, $r$ is the rate of decay, and $t$ is the time. Here, $P = 500$ milliliters, $r=0.07$, and $t = 5$.

Step2: Substitute the values into the formula

$A=500\times(1 - 0.07)^5=500\times(0.93)^5$.

Step3: Calculate $(0.93)^5$

$(0.93)^5=0.93\times0.93\times0.93\times0.93\times0.93\approx0.66$.

Step4: Calculate the final amount

$A = 500\times0.66 = 330$ milliliters.

Answer:

A. 330 milliliters