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AP EAMCET Engineering 20 Apr 2019 Shift 2 Paper
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© examsnet.com
Question : 95
Total: 160
The densities of wood and benzene at 0 °C are 880 kg
m
−
3
and 900 kg
m
−
3
respectively. The coefficient of volume expansion is 1.2 ×
10
−
3
°
C
−
1
for wood and 1.5 ×
10
−
3
°
C
−
1
for benzene. Then the temperature at which a piece of wood just sinks in benzene is
88 °C
90 °C
83.3 °C
90.3 °C
Validate
Solution:
The piece of wood begins to sink when it weight is equal to the weight of benzene displaced.
The equilibrium equation is,
V
w
ρ
w
g
=
V
b
ρ
b
g
ρ
w
1
+
γ
w
∆
T
=
ρ
b
1
+
γ
b
∆
T
Substitute values,
880
1
+
(
1.2
×
10
−
3
)
∆
T
=
900
1
+
(
1.5
×
10
−
3
)
∆
T
∆
T
≈
83.3
∘
C
Let the temperature at which pieces of wood will just sink in the benzene is
T
2
.
Then
∆
T
=
T
2
−
T
1
.
Thus
(
T
2
−
T
1
)
=
83.3
∘
C
(
T
2
−
0
∘
C
)
=
83.3
∘
C
T
2
=
83.3
∘
C
© examsnet.com
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