Question

У каструлю залили 2кг води,нагрітої до температури 40градусів,а потім додали 4кг води,що має температуру 85градусів.Визначте температуру. суміші

Answer 1

M1=2 кг     t1=40C       m2=4 кг   t2=85С    t- ?
Q2=Q1Q2=c*m2*(t2-t)Q1=c*m1*(t-t1)
m2*(t2-t)=m1*(t-t1)4*(85-t)=2*(t-40)170-2*t=t-403*t=210t=70C
Відповідь t=70C

Answer 2

Calculation of the Final Temperature of the Mixture

To determine the final temperature of the mixture, we can use the principle of conservation of energy. The total heat gained by the cold water is equal to the total heat lost by the hot water. This can be expressed mathematically as:

m1 * c1 * (Tf - T1) = m2 * c2 * (T2 - Tf)

Where: - m1 is the mass of the first water sample (2 kg) - c1 is the specific heat capacity of water (approximately 4.18 J/g°C) - Tf is the final temperature of the mixture (unknown) - T1 is the initial temperature of the first water sample (40°C) - m2 is the mass of the second water sample (4 kg) - c2 is the specific heat capacity of water (approximately 4.18 J/g°C) - T2 is the initial temperature of the second water sample (85°C)

By rearranging the equation and solving for Tf, we can find the final temperature of the mixture.

Let's plug in the values and calculate the final temperature:

2 kg * 4.18 J/g°C * (Tf - 40°C) = 4 kg * 4.18 J/g°C * (85°C - Tf)

Simplifying the equation:

8.36 kg°C * (Tf - 40°C) = 16.72 kg°C * (85°C - Tf)

Expanding the equation:

8.36 kg°C * Tf - 334.4 kg°C = 1420.72 kg°C - 16.72 kg°C * Tf

Combining like terms:

25.08 kg°C * Tf = 1755.12 kg°C

Solving for Tf:

**Tf =