Please answer ALL of the questions 1.An inflated balloon is inside vacuum chamber at STP. We double the pressure on the balloon. Which statement matches the effects on the balloon?

It reduces in size by half.

It decreases to a quarter of the size.

Volume stays the same but the balloon feels less tight.

It doubles in volume.

2. A balloon contains 5.0 L of air at 80.0 kPa. You squeeze it to a volume of 0.75 L. What is the pressure of air inside the balloon?

560 kPa

533 kPa

203 kPa

410 kPa

3. Which description matches the graph above? (see picture below for this question)

When volume increases, pressure goes up and then down.

When volume increases, pressure decreases.

When volume increases, pressure increases.

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

clouds form

solid ice forms on leaves.

water droplets form on grass.

the product of the pressure and volume is also constant