Question

When the lid is left off an ink bottle, the ink evaporates at a rate of

2.5 x 10 cm³/s. A full bottle contains 36 cm³ of ink. How long, to
the nearest day, will it take for all the ink to evaporate?

Answer 1

over 4 hours

Explanation:

To find out how long it will take for all the ink to evaporate, we need to divide the total volume of ink by the rate at which it evaporates. We can do this using the following equation:

time = volume / rate

Substituting in the values from the problem, we get:

time = 36 cm³ / 2.5 x 10 cm³/s

Solving this equation, we find that it will take approximately 1.44 x 101 seconds for all the ink to evaporate. To find out how long this is in days, we need to divide by the number of seconds per day:

time = 1.44 x 101 seconds / (60 seconds/minute * 60 minutes/hour * 24 hours/day)

This works out to be approximately 0.17 days, or just over 4 hours. Therefore, it will take approximately 4 hours for all the ink to evaporate if the lid is left off the bottle.