Answer:
d_alcohol = √5.6 d _(Hg)
Explanation:
we know that:
ΔV_alcohol = 5.6×ΔV for Hg ( ΔV is change in volume )
Area×(Δh) for alcohol = 5.6×Area×(Δh) for Hg
But we want the change in height, Δh, to be the SAME for both Hg and alcohol, as the question states. Thus, the Δh factors cancel out on the left and right sides of the above equation.
(π/4) d^2 (alcohol) = (5.6) (π/4)d^2 (Hg)
Cancel the factors of π/4 on each side, and then take a square root of each side to get:
d_alcohol = √5.6 d _(Hg)
