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yawa3891 [41]
3 years ago
6

If you have 200 grams of a radioactive sample, how many grams would be left after three half-lives?

Chemistry
1 answer:
Mumz [18]3 years ago
3 0
Well, after 1 half life, depending on whatever the amount is, 50% of the original content and or remaining content will undergo decay, as it is unstable.

Original content - 200g

1 half life - 100 g
2 half life - 50 g
3 half life - 25 g

The correct solution would be D. 25 g.
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3 years ago
5.4 g of Aluminium reacts with 300 mL of 0.2 mol/L hydrochloric acid solution. A. Write equation for the reaction taking place.
insens350 [35]

Answer:

A. 2 Al (s) + 6HCl (aq) →  2AlCl₃ (s) ↓ + 3H₂ (g)  

B. Al is the excess reactant and HCl is the limiting.

C. 0.672 L of H₂ produced at STP

D. 2.67 g of AlCl₃ are made in this reaction.

E. 4.86 g of Al remain after the reaction goes complete.

Explanation:

We star from the reaction:

2 Al (s) + 6HCl (aq) →  2AlCl₃ (s) ↓ + 3H₂ (g)  

2 moles of aluminum, react with 6 moles of HCl in order to produce 2 moles of aluminum chloride and 3 mol of H₂ gas.

We determine moles of each reactant:

[HCl] = 0.2M → 0.2 mol/L . 0.3L = 0.060 moles

(we converted 300 mL to 0.3L)

5.4 g of Al . 1mol / 26.98g = 0.200 moles

Ratio is 2:6 (3). 2 mol of Al react to 6 mol of HCl

0.2 moles of Al may react with (0.2 . 6) /2 = 0.6 mol of acid

We have 0.06 moles, and we need 0.6 mol of acid, so the HCl is the limiting reactant. Then, the Al is the excess:

6 moles of HCl need 2 moles of Al to react

Then 0.06 moles of HCl will react to (0.06 . 2) /6 = 0.02 moles

If we have 0.2 moles of Al, and we need 0.02 moles for the reaction, then

(0.2 - 0.02) = 0.18 moles remain after the reaction is complete.

0.18 mol . 26.98g /1mol = 4.86 g of Al remain after the reaction goes complete.

As the limting reactant is the HCl, we work with it to determine the mass of salt which is produced:

6 mol of HCl can produce 2 mol of chloride

Then 0.06 moles of HCl will produce (0.06 . 2) /6 = 0.02 mol of AlCl₃

We convert to mass: 0.02 mol . 133.33g/1mol = 2.67 g of AlCl₃ are made in this reaction.

Let's find out the volume of hydrogen produced, at STP

6 moles of HCl can produce 3 moles of H₂

0.06 moles of HCl will produce (0.06 . 3) /6 = 0.03 moles of H₂

1 mol of any gas at STP occupies 22.4L

0.03 moles of H₂ will ocuppy (22.4 L . 0.03 mol)/1mol = 0.672L

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3 years ago
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