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4vir4ik [10]
3 years ago
14

Suppose you have 100 grams of a radioisotope with a half-life of 100 years. How much of the isotope will you have after 200 year

s?
Chemistry
2 answers:
Ulleksa [173]3 years ago
8 0
        Amount Remaining     Years       #half lives 
             100g                            0                 0
             50 g                           100                1                  
             25g                            200               2                      




Brilliant_brown [7]3 years ago
8 0

Answer:

m = 25 g

Explanation:

To do this, we need to use the general expression for Half life:

<em>A = Ao e^-tλ (1)</em>

<em>Where:</em>

<em>A: concentration or mass of the substance after t time has passed</em>

<em>Ao: Initial concentration or mass of the substance</em>

<em>t: time that has passed.</em>

<em>λ: lambda that is relationed to half life time.</em>

The value of λ can be calculated with the following expression:

λ = ln2 / t(1/2)   (2)

So, let's calculate first the value of lambda, and then, we replace it in expression (1) to know the mass of the radioisotope:

λ = ln2/100

λ = 6.93x10^-3

Now, let's use (1) to calculate the mass after 200 years:

m = 100e^(-200*6.93x10^-3)

m = 100e^(-1.386)

<em>m = 25 g</em>

<em>And this is the mass of the isotope after 200 years.</em>

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HELP PLEASE I HAVE A TEST TODAY AND I DON'T UNDERSTAND ANY OF THIS...
myrzilka [38]

Answer:

About 67 grams or 67.39 grams

Explanation:

First you would have to remember a few things:

 enthalpy to melt ice is called enthalpy of fusion.  this value is 6.02kJ/mol

  of ice  

 it takes 4.18 joules to raise 1 gram of liquid water 1 degree C

 water boils at 100 degrees C and water melts above 0 degrees C

 1 kilojoules is 1000 joules

  water's enthalpy of vaporization (steam) is 40.68 kJ/mol

  a mole of water is 18.02 grams

  we also have to assume the ice is at 0 degrees C

Step 1

Now start with your ice.  The enthalpy of fusion for ice is calculated with this formula:

q = n x ΔH    q= energy, n = moles of water, ΔH=enthalpy of fusion

Calculate how many moles of ice you have:

150g x (1 mol / 18.02 g) = 8.32 moles

Put that into the equation:

q = 8.32 mol x 6.02 = 50.09 kJ of energy to melt 150g of ice

Step 2

To raise 1 gram of water to the boiling point, it would take 4.18 joules times 100 (degrees C)  or 418 joules.

So if it takes 418 joules for just 1 gram of water, it would take 150 times that amount to raise 150g to 100 degrees C.  418 x 150 = 62,700 joules or 62.7 kilojoules.

So far you have already used 50.09 kJ to melt the ice and another 62.7 kJ to bring the water to boiling.  That's a total of 112.79 kJ.

Step 3

The final step is to see how much energy is left to vaporize the water.

Subtract the energy you used so far from what you were told you have.

265 kJ - 112.79 kJ = 152.21 kJ

Again q = mol x ΔH (vaporization)

You know you only have 152.21 kJ left so find out how many moles that will vaporize.

152.21 kJ = mol x 40.68  or   mol = 152.21 / 40.68  = 3.74 moles

This tells you that you have vaporized 3.74 moles with the energy you have left.

Convert that back to grams.

3.74 mol   x  ( 18.02 g / 1 mol ) = 67.39 grams

5 0
2 years ago
Approximately 1 mL of two clear, colorless solutions-0.1 M Ba(NO3)2 and 0.1 M Na2SO4- were combined. Upon mixing, a thick, milky
murzikaleks [220]

Answer: balanced chemical equation: Ba(NO_3)_2(aq)+Na_2SO_4(aq)\rightarrow BaSO_4(s)+2NaNO_3(aq)

Net ionic equation : Ba^{2+}(aq)+SO_4^{2-}(aq)\rightarrow BaSO_4(s)

Explanation:

A double displacement reaction is one in which exchange of ions take place. The salts which are soluble in water are designated by symbol (aq) and those which are insoluble in water and remain in solid form are represented by (s) after their chemical formulas.

The balanced chemical equation is:

Ba(NO_3)_2(aq)+Na_2SO_4(aq)\rightarrow BaSO_4(s)+2NaNO_3(aq)

Spectator ions are defined as the ions which does not get involved in a chemical equation or they are ions which are found on both the sides of the chemical reaction present in ionic form.

Ba^{2+}(aq)+2NO_3^-(aq)+2Na^+(aq)+SO_4^{2-}(aq)\rightarrow  BaSO_4(s)+2Na^+(aq)+2NO_3^-(aq)

The ions which are present on both the sides of the equation are sodium and nitrate ions and hence are not involved in net ionic equation.

Hence, the net ionic equation is Ba^{2+}(aq)+SO_4^{2-}(aq)\rightarrow BaSO_4(s)

4 0
3 years ago
HOLMIUM
Sophie [7]

Answer:

1. The graph where x axis and y axis are present is called coordinate.

4. 18

8 0
3 years ago
Please help with 14-16 <br> Thank you!
Natalka [10]
I don't know about 14, but 15 is (4), because a liquid draws in heat to turn into a gas. 16 is (2), because to turn into a cold solid, something has to release heat.
4 0
3 years ago
0:00 一<br> what is 18,000 divided by 450,000 in scientific notation
ankoles [38]

Answer:

4 × 10-2

(scientific notation)

= 4e-2

(scientific e notation)

= 40 × 10-3

(engineering notation)

(thousandth; prefix milli- (m))

Explanation:

All of the anwsers

3 0
3 years ago
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