The capacity (volume) of a railway tank car for the transportation of gasoline is 50m3
The capacity (volume) of a railway tank car for the transportation of gasoline is 50m3, find the mass of gasoline in the tank if 1 cm3 of gasoline has a mass of 0.71g.
Brief notation of the problem condition:
V petrol – 50 cu. m .;
1 cubic meter see gasoline – 0.71 g;
Gasoline mass =?
Decision:
1) Let us reduce the given values to a single measure of volume.
1 m = 100 cm.;
1 cubic meter m = 1,000,000 cubic meters cm.;
Then:
50 cc m = 50,000,000 cubic meters cm.;
2) Let’s make the proportion:
1 cubic meter see gasoline – 0.71 g;
50,000,000 cubic meters see gasoline – x g;
From the main property of proportion: the product of the extreme terms of the proportion is equal to the product of the middle terms, it follows:
1 * x = 0.71 * 50,000,000;
x = 0.71 * 50,000,000;
x = 35,500,000 (g);
3) Let’s convert the mass of gasoline from grams to tons:
1 t. = 1000 kg. = 1,000,000 g;
1 year = 0.000 001 tons;
35,500,000 = (35,500,000 * 0,000,001) tons = 35.5 tons;
Answer: 35.5 tons.