After an additional portion of air was pumped into the balloon, the mass of the balloon increased by n = 3 times
| January 9, 2021 | education
After an additional portion of air was pumped into the balloon, the mass of the balloon increased by n = 3 times, and its volume by k = 1.5 times. How many times has the density of the air in the ball changed?
We write the expression for the density of air in the initial state
q1 = m / v.
Density after air pumping
q2 = n * m / (k * v).
Find the density ratio
q2 / q1 = (n * m / (k * v)) / (m / v) = n / k = 3 / 1.5 = 2.
Answer: the density of the air in the ball has changed 2 times.
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