take 100g of hot water at 80⁰c in thermoflask . add 200g of cold water at 20⁰C in the thermoflask . stir the contents and measure the temperature of the mixture. then , the resultant temperature is ( no heat lost or gained )
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Specific heat of water S
W
=4.2 kJ/kg K
Mass of cold, water,M
C
=0.3kg
Mass of hot, water, M
H
=0.2kg
If final temperature is T
f
Heat Loos = heat gain
M
H
S
W
(80−T
f
)=M
C
S
W
(T
f
−10)
T
f
=
M
H
S
W
+M
C
S
W
M
H
S
W
×80+M
C
S
W
×10
T
f
=
0.2×4.2+0.3×4.2
0.2×4.2×80+0.3×4.2×10
T
f
=38
o
C
Final temperature of mixture is 38
o
C
W
=4.2 kJ/kg K
Mass of cold, water,M
C
=0.3kg
Mass of hot, water, M
H
=0.2kg
If final temperature is T
f
Heat Loos = heat gain
M
H
S
W
(80−T
f
)=M
C
S
W
(T
f
−10)
T
f
=
M
H
S
W
+M
C
S
W
M
H
S
W
×80+M
C
S
W
×10
T
f
=
0.2×4.2+0.3×4.2
0.2×4.2×80+0.3×4.2×10
T
f
=38
o
C
Final temperature of mixture is 38
o
C
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