Aglass cylinder contains four liquid layers: mercury (d = 13.6 g/ml), chloroform (d = 1.49 g/ml), water (d = 1.00 g/ml), ether (d = 0.708 gml). if a cork stopper (d = 0.50 g/ml) is dropped into the cylinder, where does it come to rest

The answer is : It will come to rest on the top of ether layer.

The explanation:

The lower the density the lighter the liquid and the higher the density the heavier the liquid.

- we here have the density of the cork stopper = 0.5 g/ml , this means ha i has the lowest density as:

mercury (d = 13.6 g/ml), chloroform (d = 1.49 g/ml), water (d = 1.00 g/ml), ether (d = 0.708 gml)

so the layers from the bottom to the top are going to be like that:

-mercury

-chloroform

-water

- ether

- and finally a cork stopper at the top of the ether

part 1: the half-life of the element is 22 years.

part 2: it will take 132.02 year for the sample to decay from 308.0 g to 4.8125 g.

explanation:

part 1: there are two ways to determine the half life time.

first way: the half life time can be determined directly from its definition as it is the time required for the sample to decay to its half concentration.

from the data the initial concentration was 45.0 g and decayed to its half value (22.5 g) in 22.0 years.

second way: the radio active decay is considered first order reaction so we can use the laws of first order reactions.

k = (1/t) ln (a/a-x), where k is the rate constant of the reaction,

t is the time of the reaction

a is the initial concentration of the reactant

a-x is the remaining concentration at time (t)

a = 45.0 g the initial concentration at t = 0 year.

at t = 22 year, a-x = 22.5 g

then k = (1/22 year) ln (45.0 g/ 22.5 g) = 0.0315 year-1.

the half-life time (t1/2) = ln 2/ k = 0.693/ k =0.693/ 0.0315 = 22 years.

part 2:

using the same law k = (1/t) ln (a/a-x),

using the given data; a = 308.0 g and a-x = 4.8125 g and the calculated k from the part 1 (k = 0.0315 year-1)

t = (1/k) ln (a/a-x) = (1/0.0315) ln (308.0/ 4.8125) = 132.02 years

its going to be mutualism cuz they both benefit from the relationship.

~batmans wife dun dun