2 liters of water at 80.c is found into a plastic bucket containing 10 liters of water at 20.c what is the final temperature of water ( density of water 1kg/litre) (neglect the heat gained by bucket and specific heat capacity of water = 1cal/gm.c

m1•c(t1-t) = m1•c(t-t2)

m=D•V
D•V1(t1-t) = D•V2(t-t2)
2(t1-t) = 10(t-t2)
t1+5t2=6t
t=30ºC

i know them its 1-2-3 the power of 1-2-3 trelegy 1-2-3 tReLeGy!!!!!!!

To find the final temperature of the mixture, we can use the principle of energy conservation.

The energy gained by the cold water (10 liters at 20°C) can be calculated using the formula:

Energy gained = mass * specific heat capacity * change in temperature

Here, the mass of the water is 10 kg (since the density of water is 1 kg/liter), the specific heat capacity of water is 1 cal/g°C, and the change in temperature is the final temperature minus the initial temperature.

Let's denote the final temperature as T.

So, the energy gained by the cold water can be written as:

Energy gained = 10 kg * 1 cal/g°C * (T - 20°C) ---(1)

The energy lost by the hot water (2 liters at 80°C) can be calculated by considering the heat leaving the water using the same formula:

Energy lost = mass * specific heat capacity * change in temperature

Here, the mass of the water is 2 kg (since the density of water is 1 kg/liter), the specific heat capacity of water is 1 cal/g°C, and the change in temperature is 80°C minus the final temperature of the mixture.

So, the energy lost by the hot water can be written as:

Energy lost = 2 kg * 1 cal/g°C * (80°C - T) ---(2)

According to the principle of energy conservation, the energy gained by the cold water should be equal to the energy lost by the hot water. Therefore, we can equate equations (1) and (2):

10 kg * 1 cal/g°C * (T - 20°C) = 2 kg * 1 cal/g°C * (80°C - T)

Now, we can solve this equation to find the value of T, the final temperature of the mixture.

10(T - 20) = 2(80 - T)

10T - 200 = 160 - 2T

12T = 360

T = 360 / 12

T = 30°C

Therefore, the final temperature of the water in the plastic bucket will be 30°C.