Question

Наполненная водой бутылка имеет массу 780 г (плотность воды 1000 кг/м3). Эта же бутылка, наполненная маслом (плотность масла равна 0,93 г/см3) имеет массу 750 г. Чему равна масса пустой бутылки?

Answer 1

Я не оформляла, надеюсь понятно

Answer 2

Calculation of the Empty Bottle Mass

To find the mass of the empty bottle, we can subtract the mass of the liquid (water or oil) from the total mass of the filled bottle.

Given: - Mass of the water-filled bottle = 780 g - Density of water = 1000 kg/m^3 - Mass of the oil-filled bottle = 750 g - Density of oil = 0.93 g/cm^3

Let's calculate the volume of the liquid in each case first.

Calculation for Water-Filled Bottle

The volume of water can be calculated using the formula:

Volume = Mass / Density

Substituting the given values:

Volume of water = 780 g / 1000 kg/m^3

Converting grams to kilograms:

Volume of water = 0.78 kg / 1000 kg/m^3

Therefore, the volume of water in the bottle is 0.00078 m^3.

Calculation for Oil-Filled Bottle

Similarly, the volume of oil can be calculated using the formula:

Volume = Mass / Density

Substituting the given values:

Volume of oil = 750 g / 0.93 g/cm^3

Converting grams to kilograms and centimeters to meters:

Volume of oil = 0.75 kg / 0.93 kg/m^3

Therefore, the volume of oil in the bottle is 0.80645 m^3.

Calculation of Empty Bottle Mass

To find the mass of the empty bottle, we subtract the mass of the liquid from the total mass of the filled bottle.

For the water-filled bottle: Empty bottle mass = Total mass - Mass of water Empty bottle mass = 780 g - 0.78 kg Empty bottle mass = 779.22 g

For the oil-filled bottle: Empty bottle mass = Total mass - Mass of oil Empty bottle mass = 750 g - 0.75 kg Empty bottle mass = 749.25 g

Therefore, the mass of the empty bottle is approximately 779.22 g for the water-filled bottle and 749.25 g for the oil-filled bottle.

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