Which statement can best be concluded from the ideal gas law? the product of pressure and volume of an ideal gas is proportional to the absolute temperature. all collisions between atoms or molecules are perfectly elastic and are not the result of any attractive forces. the temperature, pressure, and volume of a gas are all related. the behavior of a gas under real conditions does not obey the ideal gas law.

Option (a) is the correct answer.

Explanation:

According to the ideal gas law, product of pressure and volume is directly proportional to the product of number of moles and absolute temperature.

Mathematically,         PV nT

or,                        PV = nRT

where,            P = pressure

                       V = volume

                       n = number of moles

                       R = gas constant

                       T = absolute temperature

Therefore, we can conclude that the statement product of pressure and volume of an ideal gas is proportional to the absolute temperature, can best be concluded from the ideal gas law.

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

120,630,890

step-by-step explanation:

110+10=120,620+10=630,880+10=890