Question

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?​

Answer 1

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