The temperatures of equal masses of three liquids A, B, C are 20 o C,30 o C and 40 o C respectively. On mixing A and B, resulting temperature of the mixture is 36 o C. On mixing A and C the resulting temperature of the mixture is 35 o C. Find the final resulting temperature of the mixture B and C.
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Explanation:
For mixture of A and B,
26=
ms
1
+ms
2
ms
1
20+ms
2
30
26s
1
+26s
2
=20s
1
+30s
2
⇒
s
2
s
1
=
6
4
=
3
2
For mixture of A and C,
32=
s
1
+s
3
20s
1
+40s
3
32s
1
+32s
3
=20s
1
+40s
3
⇒
s
3
s
1
=
12
8
=
3
2
So, ⇒
s
3
s
2
=
3
2
×
2
3
=1
For mixture or B and C
θ=
s
2
+s
3
30s
2
+40s
3
=
2
30+40
=35
o
C
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