Question

Физика 8 класс. В бак добавили 3 литра температура которых равна 100 градусов цельсия, получили воду с температурой 35 градусов цельсия, начальная температура воды в баке была 10 градусов цельсия. Найдите сколько литров воды было первоначально. P.S. Решается с помощью уравнения теплового баланса. Пожалуйста с Дано, Системой СИ, и подробным решением.

Answer 1

Дано
V1=3 л
t1=100 C
T=35 C
t2=10 C
V2-?         Q1=Q2    Q1-остывание 3 л до 35 С   Q1=m1c(t1-T)
Q2-нагревание воды до 35 С                               Q2=m2c(T-t2)
m=Vp      V1pc*65=V2pc*25     65V1=25V2   2.6V1=V2     V2=2.6*3=7.8 л

Answer 2

Solution using the Equation of Heat Balance

To solve this problem, we can use the equation of heat balance, which states that the heat gained by a substance equals the heat lost by another substance in a closed system.

Given: - Initial temperature of water in the tank (T1) = 10 degrees Celsius - Temperature of the added 3 liters of water (T2) = 100 degrees Celsius - Final temperature of the mixture (Tf) = 35 degrees Celsius

Let's denote the initial volume of water in the tank as V1 and the specific heat capacity of water as c. The equation of heat balance can be expressed as:

m1c(Tf - T1) = m2c(T2 - Tf)

Where: - m1 = initial mass of water in the tank - m2 = mass of the added 3 liters of water - c = specific heat capacity of water

Calculation

First, we need to find the mass of the added 3 liters of water using the density of water and the formula: density = mass / volume.

The density of water at 4 degrees Celsius (close to the initial temperature) is approximately 1000 kg/m^3.

So, the mass of the added 3 liters of water (m2) can be calculated as: m2 = density * volume

Next, we can use the equation of heat balance to find the initial mass of water in the tank (m1).

Finally, the initial volume of water in the tank (V1) can be calculated using the relationship between mass and volume: mass = density * volume.

Let's proceed with the calculations.

Calculation Steps

1. Calculate the mass of the added 3 liters of water (m2). 2. Use the equation of heat balance to find the initial mass of water in the tank (m1). 3. Calculate the initial volume of water in the tank (V1) using the relationship between mass and volume.

Let's calculate the values step by step.