Question

A test tube used in science class has a volume capacity of 9 × 10-3 liter. How many drops of a solution will it take to fill the test tube if each drop’s volume is 3 × 10-5 liter? Write these numbers in standard notation and then calculate the answer.

Answer 1

The volume of the test tube is 0.009 liters and the volume of one drop is 0.00003 liters. To fill the test tube, the number of drops required is calculated by dividing the capacity of the test tube by the volume of one drop, which results in 300 drops.

Step-by-step explanation:

The question asks how many drops of solution it would take to fill a test tube if the capacity of the test tube and the volume of each drop are given. The capacity of the test tube is 9 × 10-3 liters, and the volume of each drop is 3 × 10-5 liters. To find the number of drops needed to fill the test tube, we will divide the capacity of the test tube by the volume of one drop.

First, we convert the scientific notation to standard form:

• Test tube capacity: 9 × 10-3 liters = 0.009 liters
• Volume of one drop: 3 × 10-5 liters = 0.00003 liters

Next, we perform the division to calculate the number of drops:

Number of drops = test tube capacity ÷ volume of one drop

Number of drops = 0.009 liters ÷ 0.00003 liters

Number of drops = 300

Therefore, it would take 300 drops of the solution to fill the test tube.