Question

29. Жилой дом за некоторый промежуток времени потребляет 336 кДж теплоты. Какой объем воды проходит за это время через отопительную систему, если температура воды на входе выше температуры воды на выходе на 40 °С?

Answer 1

Calculation of Water Volume through the Heating System

To calculate the volume of water that passes through the heating system, we need to use the formula:

Q = m * c * ΔT

Where: - Q is the heat energy consumed by the residential building (336 kJ) - m is the mass of water passing through the system - c is the specific heat capacity of water (4.18 J/g°C) - ΔT is the temperature difference between the water at the inlet and outlet of the system (40°C)

To find the mass of water passing through the system, we can rearrange the formula as follows:

m = Q / (c * ΔT)

Now let's substitute the given values into the formula and calculate the mass of water passing through the system.

Q = 336 kJ = 336,000 J c = 4.18 J/g°C ΔT = 40°C

m = 336,000 J / (4.18 J/g°C * 40°C)

Calculating the value of m:

m ≈ 2024.096 g

Therefore, the volume of water passing through the heating system during this time is approximately 2024.096 grams.

Please note that this calculation assumes that the specific heat capacity of water remains constant over the given temperature range and that there are no other factors affecting the heat transfer in the system.