one liter of water at 30dig. c is mixed with one liter of water at 50dig.c the temperature of the mixture will be
a = ( more than 50 c but less than 80c.)
b = ( 80 c )
c = (20 c )
d = ( Between 30 c and 50 c)
Answers
Answer:
7th
Physics
Heat
Different Types of Thermometers
One litre of water at 30^oC...
PHYSICS
One litre of water at 30
o
C is mixed with one litre of water at 50
o
C. The temperature of the mixture will be
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ANSWER
Let the first volume of water be V1. Let the second volume of water be V2. Let the initial temperature of the first volume of water be θ1. Let the initial temperature of the second volume of water be θ2.
Let the energy required to heat a unit volume of water by unit temperature by C.
So, if the final temperature is θfinal, we have
heat gained by the first volume of water
=V
1
×C×(θ
final
−θ
1
)
and
heat lost by the second volume of water
=V
2
×C×(θ
2
−θ
final
).
By the law of conservation of energy,
heat lost = heat gained
∴V
1
×C×(θ
final
−θ
1
)=V
2
×C×(θ
2
−θ
final
)
∴V
1
θ
final
−V
1
θ
1
=V
2
θ
2
−V
2
θ
final
∴θ
final
=V
1
θ
1
+V
2
θ
2
V
1
+V
2
Substituting the given values,
θ
final
=
2
30+50
=40
∘
C.