50 gm of hot solid of specific heat capacity .25 J per gram per °C and at 100∆°C is placed at 80 gram of cold water. When the temperature of cold water risea by 3°C. Find the initial temperature of cold water
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Answer:
Hot solid
M= 50g
T= 100°C
C = 0.25 =
Let 0 be the final temp.
. fall in temp. 3 (100-0)°C
Cold water at 1 °C
m=80 g
C = 4.2 =
25 100 1 4
42 10
Rise in temp. = 0 - 1 = 3 Heat lost by hot solid Heat gained by water
MCs (T-0) = mcw (0 - 1)
42 50 x (100 - 0) = 80 x x 3 10
1250 25 2 e-1008
25
e = 1250 – 1008 = 242
0 1250 x 2 25 = 19.36
But = 3
1936-1 = 3
t = 19.36 - 3 = 16.36°C
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