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Pavel [41]
4 years ago
11

An archaeologist graduate student found a leg bone of a large animal during the building of a new science building. The bone had

a carbon-14 decay rate of 14.8 disintegrations per minute per gram of carbon. Living organisms have a decay rate of 15.3 disintegrations per minute. How old is the bone?
Chemistry
1 answer:
jasenka [17]4 years ago
6 0

Answer:

The answer to the question is 275 years

Explanation:

Here we have

The decay rate is given by

dN/dt = -λN

or dN/N = -λdt

Integrating the above equation with limits N and N₀ we have

㏑(N/N₀) = -λt

Note that the half life t_{\frac{1}{2} } = (㏑ 2)/λ

From where λ = 0.693/5730 =  1.21 × 10⁻⁴

∴ ㏑(14.8/15/3) = -1.21 × 10⁻⁴ × t

or t =  275 years

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Consider the following chemical reaction:
laiz [17]

Answer:

B. 1.65 L

Explanation:

Step 1: Write the balanced equation

2 SO₂(g) + O₂(g) ⇒ 2 SO₃(g)

Step 2: Calculate the moles of SO₂

The pressure of the gas is 1.20 atm and the temperature 25 °C (298 K). We can calculate the moles using the ideal gas equation.

P × V = n × R × T

n = P × V / R × T

n = 1.20 atm × 1.50 L / (0.0821 atm.L/mol.K) × 298 K = 0.0736 mol

Step 3: Calculate the moles of SO₃ produced

0.0736 mol SO₂ × 2 mol SO₃/2 mol SO₂ = 0.0736 mol SO₃

Step 4: Calculate the volume occupied by 0.0736 moles of SO₃ at STP

At STP, 1 mole of an ideal gas occupies 22.4 L.

0.0736 mol × 22.4 L/1 mol = 1.65 L

6 0
3 years ago
What is the molar mass of barium hydroxide
maksim [4K]

Answer:

171.34 g/mol

Explanation:

Ba molar mass = 137.328 g/mol

O molar mass = 15.999 g/mol * 2 = 31.9980 g/mol

H molar mass = 1.008 g/mol * 2 = 2.0160 g/mol

137.328 + 31.9980 + 2.0160 = 171.3420 = 171.34 g/mol

4 0
3 years ago
How do you convert 4.0 m to cm ?
gogolik [260]

In order to change meters simply move the decimal place two times to the right. You would move it like this: 40 (once), 400(twice). 4 meters is equal to 400 centimeters. Hope this helped :)

6 0
3 years ago
Read 2 more answers
An ideal gas is stored in a container at constant volume. If the temperature (T) were increased to 3T, what would be the change
Olin [163]
According to Gayle Lusac's law, pressure is proportional to absolute temperature of a gas. Thus:
P/T = constant

So if the temperature becomes 3T, the pressure would increase to 3P
6 0
3 years ago
Read 2 more answers
Why does Beryllium have a larger first Ionization energy than boron?
Nata [24]
This is an exception to the general electronegativity trend. It can be explained by looking at the electron configurations of both elements.

<span>Be:[He]2<span>s2
</span></span><span>B:[He]2<span>s2</span>2<span>p1

</span></span>

When you remove an electron from beryllium, you are taking away an electron from the 2s orbital. When you remove an electron from boron, you are taking an electron from the 2p orbital. The 2p electrons have more energy than the 2s, so it is easier to remove them as they can more strongly resist the effective nuclear charge of the nucleus.

7 0
4 years ago
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