A glass vessel of volume 50cm cube is filled with mercury and heated from 20 degree celsius to 60 degree celsius.what volume of liquid will overflow?
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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
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