Question

Каменный уголь через некоторое время после его добывания впитывает воду,масса которой составляет 1/8 часть массы угля.Масса только что добытого взятого для пробы равна 40 кг.Какой будет масса этого угля через некоторое время?

Answer 1

1) 40:8*1 = 5 (кг) - масса воды, впитает угля через некоторое время

2) 40+5 = 45 (кг) - будет масса этого угля через некоторое время

Ответ: масса угля 45 кг.

Answer 2

Calculation of the Mass of Coal after Absorbing Water

To calculate the mass of coal after it absorbs water, we need to consider that the water absorbed by the coal is 1/8 of its mass. Additionally, we are given that the mass of the coal taken for testing is 40 kg.

Let's denote the initial mass of the coal as M and the mass of water absorbed as W. According to the given information, we have the following equation:

W = (1/8) * M We are also given that the mass of the coal taken for testing is 40 kg. Let's denote the mass of the coal after absorbing water as M'. We can express this relationship as:

M' = M + W To find the mass of the coal after absorbing water, we need to solve these equations simultaneously.

Solution:

Substituting the value of W from equation into equation we get:

M' = M + (1/8) * M

Simplifying the equation, we have:

M' = (9/8) * M We are given that the mass of the coal taken for testing is 40 kg. Let's substitute this value into equation to find the mass of the coal after absorbing water:

M' = (9/8) * 40

Calculating this expression, we find:

M' = 45 kg

Therefore, the mass of the coal after absorbing water will be 45 kg.

Please note that the calculations are based on the given information and assumptions.