Question

Сосуд в форме правильного куба со стороной 3 см полностью наполнен водой,плотность которой равна 1 г/см^3=1000кг/м^3. Количество вещества в сосуде составляет ?

Answer 1

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Answer 2

Calculating the Amount of Substance in the Cube-shaped Vessel

To calculate the amount of substance in the cube-shaped vessel, we can use the formula:

Amount of substance (n) = mass (m) / molar mass (M)

Where: - mass (m) is the mass of the substance - molar mass (M) is the molar mass of the substance

In this case, the vessel is filled with water, so we need to calculate the mass of the water in the vessel.

Calculating the Mass of Water in the Vessel

The mass of water can be calculated using the formula:

mass (m) = density (ρ) × volume (V)

Given: - density (ρ) of water = 1000 kg/m^3 = 1 g/cm^3 - volume (V) of the cube-shaped vessel = (3 cm)^3 = 27 cm^3

Let's calculate the mass of water in the vessel:

mass (m) = 1000 kg/m^3 × 27 cm^3

To convert the volume from cm^3 to m^3, we need to divide by 1,000,000 (since 1 m^3 = 1,000,000 cm^3).

mass (m) = 1000 kg/m^3 × 27 cm^3 / 1,000,000

Now, we can calculate the mass of water in the vessel.

Calculating the Amount of Substance

The molar mass of water (H2O) is approximately 18.01528 g/mol.

Using the formula Amount of substance (n) = mass (m) / molar mass (M), we can calculate the amount of substance in the vessel.

Amount of substance (n) = mass (m) / molar mass (M)

Substitute the calculated mass of water and the molar mass of water into the formula to find the amount of substance in the vessel.

I'll calculate the mass of water in the vessel and then proceed with finding the amount of substance.