Answer:
x=51.66
Explanation:
1 ml = 1 gram
(mass) (Δt) (Cp) = (mass) (Δt) (Cp)
Substituting values into the above, we then have:
(25)(25-x)(4.184)=(50)(x-65)(4.18)
Solve for x
x= 51.6667
The final temperature is "51.67°C".
According to the question,
At 65°C,
= [tex]\frac{50}{50+25}[/tex]
= [tex]\frac{50}{75}[/tex]
= [tex]0.66667[/tex]
At 25°C,
= [tex]\frac{25}{50+25}[/tex]
= [tex]\frac{25}{75}[/tex]
= [tex]0.33333[/tex]
By multiplying the volume fractions, we get
→ [tex]65^{\circ} C\times 0.66667[/tex] = [tex]43.3334^{\circ}C[/tex]
→ [tex]25^{\circ} C\times 0.33333[/tex] = [tex]8.3333325^{\circ} C[/tex]
hence,
The final temperature will be:
= [tex]43.33334+8.333325[/tex]
= [tex]51.6666^{\circ}C[/tex]
or,
= [tex]51.67^{\circ} C[/tex]
Thus the above answer is right.
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