If you have 0.361 m 3 0.361 m3 of water at 25.0 ∘ C 25.0 ∘C and add 0.127 m 3 0.127 m3 of water at 95.0 ∘ C 95.0 ∘C , what is the final temperature of the mixture? Use 1000 kg/m 3 1000 kg/m3 as the density of water at any temperature.

Therefore the final temperature of the mixture will be 43.22°C

Explanation:

Density is given as a function of mass in a given volume, mathematically it can be expressed as

Where,

m = mass

V = Volume

we have,

For state 1

we have that the mass is

For state 2

from calorimetry we know that heat change is given under

For energy conservation then,

Since the specific heat is the same for the fluid then,

Therefore the final temperature of the mixture will be 43.22°C

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