Question

as ecceasea eccease in m 50 cm o

Answer 1

given

volume V = 350 cm³

= 350 x 10^-6 m³  

dT = T₂ - T₁

= 95 - 42

= 53^oC

diameter d = 5 cm

= 0.05 m

coefficient of volume expansion of water $\beta$_w = 210 x 10^-6/ ^oC

coefficient of volume expansion of glass $\beta$_g = 27 x 10^-6/^oC

dh = ?

using dh = 4 ( $\beta$_w - $\beta$_w ) V dT / $\pi$ d²  

= 4 x ( 210 x 10^-6 - 27 x 10^-6 ) x 350 x 10^-6 x 53 / 3.14 x 0.05²

= 4 x 183 x 10^-6 x 350 x 10^-6 x 53 / 3.14 x 0.05²

= 1729.757 x 10^-6 m

= 1.729757 x 10^-3 m

dh = 1.729757 mm