The pot shown in the picture is made of two different materials. Why is the handle made of a different material than the rest of the pot? A. The metal that the pot is made out of has a higher specific heat capacity, therefore, a wood handle is needed because it has a
lower specific heat capacity. This means they both can hold the same amount of heat, which is needed for the person cooking
because the handle is a conductor
B. The handle can absorb more energy without changing temperature as easily as the metal in the pot because it has a higher specific
heat capacity. It serves as an insulator, so that it will not burn a person's hand when the pot is hot.
C. The metal that the pot is made out of has a lower specific heat capacity, therefore, a wood handle is needed because it has a lower
specific heat capacity as well. This means they both can hold the same amount of heat, which is needed for the person cooking,
D. It would have been too expensive to make the handle out of the same metal

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

12 is it do you think so