10 lit of hot water is taken in a bucket.the amount of cold water at 20DEG to be added to the bucket to obtainwater at 35DEG is ?
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Answer:
Correct option is B)
m (hot water) =10kg,
T (hot water) =70
o
C
m (cold water) =20kg
T (cold water) =20
o
C,T(final)=?
Using the formula Q=mCΔt
We get heat lost by hot water
=10×C×(70−T
f
)
Where T
f
is the final temperature
Heat gained by cold water
=20×C×(T
f
−20)
Using the principle of calorimetry
Heat lost = Heat gained
We get 10×C×(70−T
f
)
=20×C×(T
f
−20)
∴700−10T
f
=20T
f
−400
or 30T
f
=1100∴T
f
=36.67
o
C.
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