What is the fastest way to solve the task in 2.5 minutes?

It takes me too long to solve these and similar problems without a calculator (TMS). Advanced decay problems, etc., like this. Can anyone give me some tips? How would you approach this problem, for example?

GLg

1 vote, average: 1.00 out of 1 (1 rating, 1 votes, rated)
You need to be a registered member to rate this.
Loading...
Subscribe
Notify of
11 Answers
Oldest
Newest Most Voted
Inline Feedbacks
View all comments
J0T4T4
10 months ago

At least 400 must be present so that the 200 can decompose.

Concentrations below 400 are therefore not stable anyway, the space was not safe even without construction site.

Wechselfreund
10 months ago
Reply to  J0T4T4

Thank you, now I see what the 400 will come up with! (It was obvious that…)

Elumania
10 months ago

It's not in 2.5 minutes. Even with calculators, it's hard because of the length of the text.

Destranix
10 months ago

Numerically, it's the fastest. If you want to calculate it normally, this is complicated as the variable occurs in the exponent and in the product. You may also need a logarithm.

Numerically in 3.8 day steps, however, this is quite fast.

Wechselfreund
10 months ago

It can't work!

Tannibi
10 months ago

You have to

3000*(1/2)^(t/3.8) + (200*t/3.8)*(t/3.8) = 300

after t. You can't do that in 2.5 minutes.

Come out for almost 14 days.

Wechselfreund
10 months ago
Reply to  Tannibi

I don't understand the task. Do you want 200 Bq from outside per half-life to be added constant? I tried this with Excel, then seems to go against 400…

Tannibi
10 months ago
Reply to  Wechselfreund

That's what I understood. And they're falling apart.

J0T4T4
10 months ago
Reply to  Tannibi

I'd say you've made a mistake. All that comes after t days must first fall apart from the beginning and must not be directly combined with the decay from the other.

Tannibi
10 months ago
Reply to  J0T4T4

Yeah, that's right.

Wechselfreund
10 months ago

Look at my Excel sheet.

"every 3.8 days 200 Bq new Radon"