Question

1) What would be the final temperature of a mixture of 50g of water at 20°C temperature and 50g
of water at 40°C temperature? ​

Answer 1

$\large\bf{\underbrace{\purple{SOLUTION:-}}}$

✪ since it is given that 50 gms water at 20 ⁰ C and 50 gms of water at 40⁰ C are mixed. Since the masses of the liquid at different temperatures are same, the answer is very easy and simple :

☞ average of 20⁰C and 40⁰C, i.e 30⁰C.

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final temperature of the mixture,

$\rm{=\:[\:m_1\times{T_1}\:+\:m_2\times{T_2}\:]\:/\:(m_1\:+\:m_2)\:}$

$\rm{=\:[\:50\:gms\times{20^{\degree}}C\:+\:50\:gms\times{40{\degree}}C\:]\:/\:(50+50)\:}$

$\rm{=\:3000\:/\:100\:=\:30^{\degree}C\:}$

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♻️Therefore, the final temperature of the mixture is “30° C” .

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Answer 2

50 gms water at 20 ⁰ C and 50 gms of water at 40⁰ C are mixed.  

The masses of the liquid at different temperatures are same,

Final temperature of the mixture = [ m₁T₁ + m₂T₂ ] / (m₁ + m₂)

   

⇒ Final temperature = [(50 × 20) + (50 × 40)]  / (50 + 50)

⇒ Final temperature = 3000 / 100

⇒ Final temperature = 30⁰C