Question

One litre of water at 25 degree celsius is mixed with one litre of water at 35 degree celsius.The temperature of the mixture will be


(a) Between 25 and 35 degree celsius

(b) 60 degree celsius

(c)More than 35 but less than 60 degree celsius

d)25 degree celsius

plz answer...​

Answer 1

Answer:

25c is the answer

Explanation:

becuase the mixture is equal

Answer 2

The correct option is (a) Between 25 and 35 degree Celsius

GIVEN

The temperature of water = 25° C

The temperature of water = 35° C

TO FIND

The temperature of the mixture.

SOLUTION

We can simply solve the above problem as follows-

Let

The volume of water with 25° temperature, V1 = 1l

The Volume of water with 35° temperature, V2 =1l

Let V1 have the temperature, T1 = 25°C

V2 has the temperature, T2 = 35°C

Let the energy required to heat a unit volume be, C.

Let the final temperature be, T0

So,

Heat gained by the first volume of water = V1 × C × (T0-T1)

Heat lost by the second volume of water = V2 × C × (T2-T0)

According to the low conservation of energy,

Heat gained = Heat lost

V1 × C × (T0-T1) = V2×C×(T2-T0)

V1T0 × V1T1 = V2T0 - V2T2

T0 = V1T1 + V2T2V1 + V2

Substituting the values in the above equation we get,

T0 = T1+T2/2

= 25+35/2

30° C

Hence, The correct option is (a) Between 25 and 35 degree Celsius

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