tration 10.
A glass vessel of volume 100 cm is filled with mercury and is heated from 25°C to 75°C. What volume
of mercury will overflow? Coefficient of linear expansion of glass = 1.8 x 106/C and coefficient of volume
expansion of mercury is 1.8 x 104/°C.
on :
IZ
TY
Answers
Answer is =: 0.89 cm
Explanation
Initial volume of both the glass vessel and mercury is V
o
=100cm
3
The coefficient of volume expansion for mercury is γ
m
=1.8×10
−4
/
o
C
The coefficient of volume expansion for glass is γ
g
=1.8×10
−6
/
o
C
Change in temperature be θ=75−25=50
o
C
So final volume of of glass vessel is V
1
=V
o
(1+γ
g
θ)=100(1+90×10
−6
)cm
3
and final volume of of mercury is V
2
=V
o
(1+γ
g
θ)=100(1+90×10
−4
)cm
3
Amount overflowed is V
2
−V−1=100×(90×10
−4
−90×10
−6
)=0.89cm
3
Answer:
Initial volume of both the glass vessel and mercury is V
o
=100cm
3
The coefficient of volume expansion for mercury is γ
m
=1.8×10
−4
/
o
C
The coefficient of volume expansion for glass is γ
g
=1.8×10
−6
/
o
C
Change in temperature be θ=75−25=50
o
C
So final volume of of glass vessel is V
1
=V
o
(1+γ
g
θ)=100(1+90×10
−6
)cm
3
and final volume of of mercury is V
2
=V
o
(1+γ
g
θ)=100(1+90×10
−4
)cm
3
Amount overflowed is V
2
−V−1=100×(90×10
−4
−90×10
−6
)=0.89cm
3