If w/x = 3, what does x/w equal?=

Modeling Radioactive Decay In Exercise, complete the table for each radioactive isotope.

Travka [436]

Answer :

The amount after 1000 years will be, 5.19 grams.

The amount after 10000 years will be, 0.105 grams.

Step-by-step explanation :

Half-life = 1599 years

First we have to calculate the rate constant, we use the formula :

$k=\frac{0.693}{t_{1/2}}$

$k=\frac{0.693}{1599\text{ years}}$

$k=4.33\times 10^{-4}\text{ years}^{-1}$

Now we have to calculate the amount after 1000 years.

Expression for rate law for first order kinetics is given by:

$t=\frac{2.303}{k}\log\frac{a}{a-x}$

where,

k = rate constant = $4.33\times 10^{-4}\text{ years}^{-1}$

t = time passed by the sample = 1000 years

a = initial amount of the reactant = 8 g

a - x = amount left after decay process = ?

Now put all the given values in above equation, we get

$1000=\frac{2.303}{4.33\times 10^{-4}}\log\frac{8}{a-x}$

$a-x=5.19g$

Thus, the amount after 1000 years will be, 5.19 grams.

Now we have to calculate the amount after 10000 years.

Expression for rate law for first order kinetics is given by:

$t=\frac{2.303}{k}\log\frac{a}{a-x}$

where,

k = rate constant = $4.33\times 10^{-4}\text{ years}^{-1}$

t = time passed by the sample = 10000 years

a = initial amount of the reactant = 8 g

a - x = amount left after decay process = ?

Now put all the given values in above equation, we get

$10000=\frac{2.303}{4.33\times 10^{-4}}\log\frac{8}{a-x}$

$a-x=0.105g$

Thus, the amount after 10000 years will be, 0.105 grams.

4 0

3 years ago

An example of exponential growth is y=2(1/3)^x<br> True<br> False

Lemur [1.5K]

Answer:

False

Step-by-step explanation:

Since the b value (the value inside the parentheses) is less than 1, it represents exponential decay.

8 0

3 years ago

Martina read that approximately 10% of all people are left-handed. She wants to design a simulation to approximate the probabili

marta [7]

Answer:

20

Step-by-step explanation:

8 0

2 years ago

Read 2 more answers

There is a ratio of 5 girls and 3 boys in the chorus. There are 24 boys in the chorus. How many girls are in the chorus

konstantin123 [22]

There are 40 girls in the Chorus.

8 0

2 years ago

Read 2 more answers

Simplify.<br><br> <img src="https://tex.z-dn.net/?f=%20%5Cfrac%7B8%2B6%5E2%7D%7B11%7D%20" id="TexFormula1" title=" \frac{8+6^2}{

Romashka [77]

$\frac{8 + 6^2}{11} + 7 \times 2 \\ \\ \frac{8 + 36}{11} + 7 \times 2 \ / \ simplify \\ \\ \frac{44}{11} + 7 \times 2 \ / \ simplify \\ \\ 4 + 7 \times 2 \ / \ simplify \\ \\ 4 + 14 \ / \ simplify \\ \\ 18 \ / \ simplify \\ \\$

The final result is 18.

4 0

2 years ago