Cold water at a temperature of 5°C is mixed with hot water at 75°C. Then what will be the equilibrium temperature attained by the system? (1) 30 °C(2) 40 °C(3) 50°C(4) 70 °C

Respuesta :

Answer: [tex]40^{\circ}C[/tex]

Explanation:

Given

Coldwater is at [tex]5^{\circ}C[/tex]

Hot water is at [tex]75^{\circ}C[/tex]

Suppose an equal amount of water is mixed i.e. m

So, the heat released by hot water is equal to the heat gained by cold water and the final common temperature be T

[tex]\Rightarrow mc(75-T)=mc(T-5)\\\Rightarrow 75-T=T-5\\\Rightarrow 2T=80\\\Rightarrow T=40^{\circ}C[/tex]

Option (2) is correct