Question

Смешали 100 г воды при температуре 10С, 50 г при температуре 30С, 25г при температуре 50С и добавили 15г кипятка. Какова температура смеси?

Answer 1

100*(t-10)+50(t-30)+25(t-50)+15(t-100)=0

190t=5250

t=525/19=26.63 градуса

Answer 2

Calculating the Final Temperature of the Mixture

To calculate the final temperature of the mixture, we can use the principle of the conservation of energy, which states that the total heat lost by a hot body is equal to the total heat gained by a cold body when they are brought into thermal contact. The formula to calculate the final temperature of the mixture is:

m1c1ΔT1 + m2c2ΔT2 = m3c3ΔT3

Where: - m1, m2, m3 = masses of the substances - c1, c2, c3 = specific heat capacities of the substances - ΔT1, ΔT2, ΔT3 = temperature changes of the substances

Applying the Formula

Given: - 100g of water at 10°C - 50g of water at 30°C - 25g of water at 50°C - 15g of boiling water (assumed to be at 100°C)

We can use the formula to calculate the final temperature of the mixture.

Calculation

The specific heat capacity of water is approximately 4.18 J/g°C.

Using the formula: m1c1ΔT1 + m2c2ΔT2 + m3c3ΔT3 = 0

We can calculate the final temperature of the mixture.

100g * 4.18 J/g°C * (Tf - 10°C) + 50g * 4.18 J/g°C * (Tf - 30°C) + 25g * 4.18 J/g°C * (Tf - 50°C) + 15g * 4.18 J/g°C * (Tf - 100°C) = 0

Solving this equation will give us the final temperature of the mixture.

Conclusion

By solving the equation, we can find the final temperature of the mixture after the addition of the boiling water.