Question

50ml of water at 60 degree Celsius is mixed with 70ml of water at 40degree celsius what is the temperature of the mixture ​

Answer 1

Answer:

between 40°C to 60°C

Explanation:

Hope it helps you

Answer 2

Given:

50ml of water at 60 degree Celsius is mixed with 70ml of water at 40degree celsius.

To find:

Temperature of mixture ?

Calculation:

Let temperature of mixture be T ;

$\rm\therefore \: T = \dfrac{m1(T1) + m2(T2)}{m1 + m2}$

$\rm\implies \: T = \dfrac{ \rho \bigg \{V1(T1) + V2(T2) \bigg \}}{ \rho \bigg(V1 + V2 \bigg)}$

$\rm\implies \: T = \dfrac{V1(T1) + V2(T2) }{V1 + V2}$

$\rm\implies \: T = \dfrac{50(60) + 70(40) }{50 + 70}$

$\rm\implies \: T = \dfrac{3000 + 2800 }{120}$

$\rm\implies \: T = \dfrac{5800 }{120}$

$\rm\implies \: T = {48.33}^{ \circ} \: C$

So, temperature of mixture is 48.33° C.

• The above used expression can be derived from the equation of Calorimetry.