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EAMCET Engineering 2003 Solved Paper
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© examsnet.com
Question : 14
Total: 160
The densities of a liquid at
0
∘
C
and
100
∘
C
are respectively 1.0127 and 1 . A specific gravity bottle is filled with
300
g
of the liquid at
0
∘
C
upto the brim and it is heated to
100
∘
C
. Then, the mass of the liquid expelled in grams is: (Coefficient of linear expansion of glass
=
9
×
10
−
6
∕
∘
C
)
3
10.1
3
1.01
3.81
1.0127
3.81
0.0127
Validate
Solution:
Density at
0
∘
C
,
ρ
0
=
1.0127
Density at
100
∘
C
,
ρ
100
=
1
Coefficient of real expansion of liquid,
γ
real
=
ρ
0
−
ρ
100
ρ
100
×
∆
t
=
1.0127
−
1
1
×
100
=
0.0127
×
10
−
2
=
1.27
×
10
−
4
γ
real
=
γ
app
+
γ
g
γ
g
=
coefficient of volume expansion of glass
=
3
α
∴
1.27
×
10
−
4
=
γ
app
+
3
α
1.27
×
10
−
4
=
γ
app
+
3
×
9
×
10
−
6
γ
app
=
1.27
×
10
−
4
−
27
×
10
−
6
=
1.27
×
10
−
4
−
0.27
×
10
−
4
=
1
×
10
−
4
∴
γ
app
=
mass expelled
remaining mass
×
∆
t
1
×
10
−
4
=
m
1
−
m
2
m
2
×
100
(
m
1
m
2
−
1
)
=
1
×
10
−
4
×
100
=
10
−
2
m
1
m
2
=
1
+
10
−
2
=
1.01
m
2
=
m
1
1.01
=
300
1.01
Mass expelled
=
m
1
−
m
2
=
300
−
300
1.01
=
3
1.01
© examsnet.com
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