Hot water of mass 7 kg at 98°C is cooled for taking bath by mixing 14 kg of water at 10°C. Calculate the final temperature of water. Specific heat capacity of water is 4200J/kg°C. Neglect the heat taken by the bucket.
Answers
Answered by
0
Answer:
Let the final temperature of the mixture be
t
∘
C
Equating the heat loss and heat gained we get
20
×
4.2
×
(
t
−
20
)
=
10
×
4.2
×
(
90
−
t
)
⇒
20
t
−
400
=
900
−
10
t
⇒
30
t
=
1300
⇒
t
=
43.3
∘
C
Answered by
0
Answer:
Specific heat capacity of water=4200 J/kgK
By the principle of mixtures,
m x c (T1-T) = m x c x(T-T2)
2 x 4200(80-T) = 8 x 4200(T-25)
(4200 on both sides get cancelled)
160-2T = 8T-200
360 = 10T
T= 36 degree Celcius
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