Question

в сосуде находится 10 кг воды при температуре 10 градусов. Какое количество стоградусного водяного пара нужно впустить в сосуд, чтобы вода в нём нагрелась до 60 градусов?

Answer 1

одна вторая стоградусного водяного пара

Answer 2

Calculating the Amount of Water Vapor Needed to Heat Water

To calculate the amount of water vapor needed to heat the water in the vessel, we can use the formula for heat transfer. The formula for heat transfer is:

Q = mcΔT

Where: - Q is the amount of heat transferred - m is the mass of the substance - c is the specific heat capacity of the substance - ΔT is the change in temperature

In this case, we want to find the amount of water vapor needed to heat the water from 10°C to 60°C. We know the mass of the water (10 kg) and the initial and final temperatures. We also need to consider the heat of vaporization of water to calculate the amount of water vapor needed.

Using the Heat Transfer Formula

First, we need to calculate the amount of heat required to heat the water from 10°C to 60°C using the specific heat capacity of water. The specific heat capacity of water is approximately 4.18 J/g°C.

Q = mcΔT

Q = (10 kg) * (1000 g/kg) * (4.18 J/g°C) * (60°C - 10°C)

Q = 2,508,000 J

Now, we need to consider the heat of vaporization of water, which is approximately 2260 kJ/kg (or 2,260,000 J/g).

To find the amount of water vapor needed, we can use the formula:

m = Q / ΔHvap

Where: - m is the mass of the substance (water vapor) - Q is the amount of heat transferred - ΔHvap is the heat of vaporization of water

m = 2,508,000 J / 2,260,000 J/g

m ≈ 1.11 g

So, approximately 1.11 grams of water vapor would be needed to heat the water in the vessel from 10°C to 60°C.