Question

Учёные-физики Иван и Глеб заметили, что в лаборатории из кондиционера стала капать вода. За 5 мин Глеб насчитал 20 капель воды. Он поставил мерный стакан для сбора воды и ушёл на семинар. Когда через 5 часов после семинара физик вернулся, Иван сообщил, что в мерном стакане собралось 7,2 мл воды. Взяв ручку и бумагу, учёные отали делать расчёты: 1 Сколько капель воды упало за то время, пока физик была на семинаре? 2 Чему равен объём одной капли воды? з Какая масса воды вытечет из кондиционера за 10 дней​

Answer 1

Дано:

t1 = 5 мин

N = 20 капель

t2 = 5 ч = 300 мин

V = 7,2 мл

t3 = 10 д = 240 ч = 14400 мин

ρ = 1000 кг/м³

N(t2), V0, m(t3) - ?

Решение:

N(t2) = (N/t1)*t2 = (20/5)*300 = 4*300 = 1200 капель

V0 = V/N2(t2) = 7,2/1200 = 0,006 мл = 6*10^-3 мл = 6*10^-6 л = 6*10^-9 м³

m(t3) = ρ*V(t3)

V(t3) = N(t3)*V0

N(t3) = (N/t1)*t3, тогда:

m(t3) = ρ*(N/t1)*t3*V0 = 1000*(20/5)*14400*6*10^-9 = 10³*4*144*10²*6*10^-9 = 4*144*6*10^-4 = 0,3456 кг = 345,6 г

Ответ: 345,6 г или 345,6 мл.

Answer 2

Calculation of Water Drops and Volume

To answer the questions, let's break down the information provided:

- In 5 minutes, Gleb counted 20 water drops. - After 5 hours, Ivan found that 7.2 ml of water had collected in the measuring cup.

1. How many water drops fell while the physicist was at the seminar?

To calculate the number of water drops that fell while the physicist was at the seminar, we need to find the number of drops per minute and then multiply it by the number of minutes the physicist was away.

Given that Gleb counted 20 drops in 5 minutes, we can calculate the average number of drops per minute:

20 drops / 5 minutes = 4 drops per minute.

Since the physicist was away for 5 hours (300 minutes), we can calculate the number of drops that fell during that time:

4 drops per minute * 300 minutes = 1200 drops.

Therefore, 1200 water drops fell while the physicist was at the seminar.

2. What is the volume of one water drop?

To find the volume of one water drop, we can divide the total volume of water collected (7.2 ml) by the number of drops (20) counted by Gleb.

7.2 ml / 20 drops = 0.36 ml per drop.

Therefore, the volume of one water drop is 0.36 ml.

3. What is the mass of the water that will flow out of the air conditioner in 10 days?

To calculate the mass of the water that will flow out of the air conditioner in 10 days, we need to know the flow rate of water from the air conditioner.

Unfortunately, the given information does not provide the flow rate or any other relevant data to calculate the mass of water that will flow out of the air conditioner in 10 days. Therefore, we cannot determine the answer to this question with the information provided.

Please note that the information provided is based on the given data and calculations.