The mass of water in the glass = 214.6 g, a stone was put there, its mass is 29.8 g

| February 23, 2021 | education

The mass of water in the glass = 214.6 g, a stone was put there, its mass is 29.8 g, the water poured out and the mass of water in the glass became 232 g. Find the density of the stone.

Data: m (mass of water in a glass) = 214.6 g; mk (stone mass) = 29.8 g; m1 (mass of water and stone in a glass) = 232 g.

Reference data: according to the condition ρw (density of water in a glass) = 1 g / cm3.

1) Determine the mass of water displaced from the glass: mw = m – (m1 – mk) = 214.6 – (232 – 29.8) = 12.4 g.

2) Determine the volume of displaced water (volume of the stone): V = mw / ρw = 12.4 / 1 = 12.4 cm3.

3) Let’s calculate the density of the stone: ρк = mк / V = 29.8 / 12.4 ≈ 2.4 g / cm3 (2400 kg / m3).

Answer: The density of the stone is 2400 kg / m3.



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