1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Eddi Din [679]
3 years ago
12

Suppose you find a rock that contains some potassium-40 (half-life of 1.3 billion years). you measure the amount and determine t

hat there are 5 grams of potassium-40 in the rock. by measuring the amount of its decay product (argon-40) present in the rock, you realize that there must have been 40 grams of potassium-40 when the rock solidified. how old is the rock?
Chemistry
1 answer:
Alborosie3 years ago
7 0
Equation for Half life :
A = a(0.5)^(t/h)
A is current amount, "a" is initial amount, h is halflife, t is time

5 = 40(0.5)^(t/1.3x10^9)
5/40 = (0.5)^(t/1.3x10^9)
take the log of both sides , power rule
Log(5/40) = (t/1.3x10^9) * Log(0.5)
(1.3x10^9) * Log(5/40) / Log(0.5) = t
3.9x10^9 years = t

And if you think about what a half life is, the time it take for the amount to reduce to half.
40/2 = 20
20/2 = 10
10/2 = 5
It went through 3 half-lifes
3 * 1.3x10^9 = 3.9x10^9 years

You might be interested in
A gaseous mixture composed of 20% CH4, 30% C2H4, 35% C2H2, and 15% C2H20. What is the average molecular weight of the mixture? a
Semenov [28]

<u>Answer:</u> The correct answer is Option d.

<u>Explanation:</u>

We are given:

Mass percentage of CH_4 = 20 %

So, mole fraction of CH_4 = 0.2

Mass percentage of C_2H_4 = 30 %

So, mole fraction of C_2H_4 = 0.3

Mass percentage of C_2H_2 = 35 %

So, mole fraction of C_2H_2 = 0.35

Mass percentage of C_2H_2O = 15 %

So, mole fraction of C_2H_2O = 0.15

We know that:

Molar mass of CH_4 = 16 g/mol

Molar mass of C_2H_4 = 28 g/mol

Molar mass of C_2H_2 = 26 g/mol

Molar mass of C_2H_2O = 48 g/mol

To calculate the average molecular mass of the mixture, we use the equation:

\text{Average molecular weight of mixture}=\frac{_{i=1}^n\sum{\chi_im_i}}{n_i}

where,

\chi_i = mole fractions of i-th species

m_i = molar masses of i-th species

n_i = number of observations

Putting values in above equation:

\text{Average molecular weight}=\frac{(\chi_{CH_4}\times M_{CH_4})+(\chi_{C_2H_4}\times M_{C_2H_4})+(\chi_{C_2H_2}\times M_{C_2H_2})+(\chi_{C_2H_2O}\times M_{C_2H_2O})}{4}

\text{Average molecular weight of mixture}=\frac{(0.20\times 16)+(0.30\times 28)+(0.35\times 26)+(0.15\times 42)}{4}\\\\\text{Average molecular weight of mixture}=6.75

Hence, the correct answer is Option d.

3 0
3 years ago
Determine the number of equivalents if a 3.89N solution contains 0.76 L of solution
ValentinkaMS [17]

Answer:

2%

Explanation:

oriented C-2, and (3) the minimizing of the number of ... (2) L. A. Mitscher, J. K. Paul, and L. Goldman,Experientia, 19, 195. (1963). ... SOzCeHiBr)3 in 147 ml. of anhydrous methanol containing 0.37 ... bicarbonate and saturated sodium chloride solution, and dried ... determined in 2% chloroform solution; infrared spectra on.

5 0
3 years ago
Hello, Flashligh explain where the energy comes from and how it is affecting change or putting an object in motion
dangina [55]

Answer:

Our energy supply comes mainly from fossil fuels, with nuclear power and renewable sources rounding out the mix.

The energy associated with an object's motion is called kinetic energy. Kinetic energy is the energy of motion. All moving objects have kinetic energy

Explanation:

7 0
3 years ago
Read 2 more answers
When a radioactive isotope undergoes Beta Decay, which of the following will NOT occur? PLEASE HELP ASAP! THANKS.
sleet_krkn [62]

D) Energy is released


3 0
3 years ago
Need some help, please. Explain why anions are always larger than the atoms from which they are derived, while cations are alway
ANTONII [103]

The question requires us to explain the differences in radii of neutral atoms, cations and anions.

To answer this question, we need to keep in mind that a neutral atom presents the same number of protons (positive particles) and electrons (negative particles). Another important information is that the protons are located in the nucleus of the atom, while the electrons are around the nucleus. Also, there is an electrostatic force between protons and electrons, which means that they the protons tend to attract the electrons to the nucleus.

While a neutral atom presents the same number of protons and electrons, a cation is an ion with positive charge, which means it has lost one or more electrons. In a cation, the balance between protons and electrons doesn't exist anymore: now, there is more positive than negative charge (more protons than electrons), and the overall attractive force that the protons have for the electrons is increased. As a result, the electrons stay closer to the nucleus and the radius of a cation is smaller than the neutral atom from which it was derived.

On the other side, anions present negative charge, which means they have received electrons. Similarly to cations, the balance between protons and electrons doesn't exist anymore, but in this case, there are more electrons than protons. In an anion, the overall attractive force that the protons have for the electrons is decreased. As a result, the electrons are "more free" to move and, as they are not so attracted to the nucleus, they tend to stay farther from the positive nucleus compared to the neutral atom - because of this, the radius of an anion is larger than the neutral atom from which it was derived.

3 0
1 year ago
Other questions:
  • Please I need help with the question 42 and answering the chart and it’s very hard and I’m struggling with it and if you need to
    6·1 answer
  • Alkaline earth metals electronegativity
    11·1 answer
  • What is the most important role that water plays for living organisms
    12·2 answers
  • Copper is commonly mined as an ore with a variable percent composition of copper (II) sulfide. This ore is also sometimes referr
    13·1 answer
  • How does the burning of fossil fuels increase the greenhouse effect answers?
    12·1 answer
  • How many grams are in 9.4 moles of NO2?​
    13·1 answer
  • HOCl dissociative into which 2 ions
    14·1 answer
  • Helpppp me plzzzzzzzzzzzzzzzzzzzzz
    11·1 answer
  • When water is added to a mixture Na_2O_2(s) and S(s), a redox reaction occurs, as represented by the equation below.
    14·1 answer
  • ____________is not an effect of heat
    6·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!