Question

"Охотничий порох состоит из селитры, серы и угля. Масса серы должна относиться к массе селитры как0,2:1,3, а масса угля должна составлять 11 1/9 % массы серы и селитры вместе. Сколько пойдет каждого из веществ на приготовление 25 кг пороха?

Answer 1

Масса серы =0,2x 
масса селитры = 1,3х 
масса угля = 11 1/900 *(0,2+1,3)х =0, 167x
0.2x+1,3x+0,167x=25 
1,667x=25
x=15  
сера=3 
селитра=19,5
уголь=2,5

Answer 2

Calculation of the Mass of Each Substance for Making Gunpowder

To calculate the mass of each substance required to make 25 kg of gunpowder, we need to follow the given ratios:

- The mass of sulfur (S) should be in a ratio of 0.2:1.3 with the mass of saltpeter (KNO3). - The mass of charcoal (C) should be 11 1/9% of the combined mass of sulfur and saltpeter.

Let's calculate the mass of each substance step by step:

1. Calculate the mass of sulfur (S): - Given the ratio of 0.2:1.3, we can express it as 0.2x:1.3x, where x is a common factor. - The total mass of sulfur and saltpeter is 25 kg, so we have the equation: 0.2x + 1.3x = 25. - Solving the equation, we find x = 5. - Therefore, the mass of sulfur (S) is 0.2x = 0.2 * 5 = 1 kg.

2. Calculate the mass of saltpeter (KNO3): - Using the ratio 0.2:1.3, the mass of saltpeter is 1.3x = 1.3 * 5 = 6.5 kg.

3. Calculate the combined mass of sulfur and saltpeter: - The combined mass of sulfur and saltpeter is 1 kg + 6.5 kg = 7.5 kg.

4. Calculate the mass of charcoal (C): - The mass of charcoal should be 11 1/9% of the combined mass of sulfur and saltpeter. - 11 1/9% can be expressed as 11.11% or 0.1111 in decimal form. - The mass of charcoal (C) is 0.1111 * 7.5 kg = 0.83325 kg.

Therefore, for making 25 kg of gunpowder, you would need the following amounts of each substance:

- Sulfur (S): 1 kg - Saltpeter (KNO3): 6.5 kg - Charcoal (C): 0.83325 kg

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