Muenzaniso weMibvunzo yeKukurukurirana neRadioactivity
Radioactivity chiitiko chechisikigo umo mamwe maatomu enyukireya anoora kamwe kamwe, achiburitsa zvidimbu kana simba muchimiro chemwaranzi. Chiitiko ichi chinokonzera maitiro akasiyana-siyana musainzi, tekinoroji, uye kunyangwe hutano. Radioactivity ine mashandisirwo akasiyana-siyana, asi inodawo kunzwisisa kwakadzama kuti uishandise zvakachengeteka uye zvinobudirira. Muchinyorwa chino, tichakurukura mienzaniso yakati wandei yematambudziko ane chekuita neradioactivity nemhinduro dzayo, izvo zvinogona kukubatsira kunzwisisa pfungwa iyi zvakadzama.
Mubvunzo 1: Kuverenga Hafu yeHupenyu
Mubvunzo: Sampuro ine radioactive ine magiramu 80 eimwe isotope ine hafu yehupenyu hwemakore gumi. Yakawanda sei yeisotope inosara mushure memakore makumi matatu?
Kukurukurirana: Hafu yehupenyu inguva inodiwa kuti hafu yehuwandu hwekutanga hwe isotope ine radioactive iore. Kuti tione huwandu hwe isotope inosara mushure menguva yakati, tinogona kushandisa fomura yekuora:
\[ N = N_0 \kuruboshwe(\frac{1}{2}\kurudyi)^{\frac{t}{t_{1/2}}} \]
Di mana:
– \( N \) ndiyo nhamba yemasotopu asara.
– \( N_0 \) ndiyo nhamba yekutanga ye isotopes (80 gramu).
– \(t \) inguva yapfuura (makore makumi matatu).
– \(t_{1/2} \) ndiyo hafu yehupenyu (makore gumi).
Kutsiva mavariable nenhamba dzinozivikanwa:
\[ N = 80 \left(\frac{1}{2}\right)^{\frac{30}{10}} = 80 \left(\frac{1}{2}\right)^3 = 80 \times \frac{1}{8} = 10 \text{ grams} \]
Saka, mushure memakore makumi matatu, magiramu gumi e isotope anoramba aripo.
Mubvunzo 2: Kuziva Chiitiko cheRadioactive
Mubvunzo: Kana basa rekutanga resampuro yemwaranzi riri 2000 Bq uye mushure memakore mashanu basa rayo rava 250 Bq, sarudza hafu yehupenyu hwayo.
Kukurukurirana: Basa (\(A\)) remuenzaniso une radioactive rinoenderana zvakananga nehuwandu hweisotope huripo:
\[ A = A_0 \left(\frac{1}{2}\right)^{\frac{t}{t_{1/2}}} \]
Kushandisa ruzivo rwakapihwa:
– Chiitiko chekutanga (\(A_0\)) = 2000 Bq
– Chiitiko chiripo iye zvino (\(A\)) = 250 Bq
– Nguva yakapfuura (\(t\)) = makore mashanu
Isa nhamba mufomura iyi:
\[ 250 = 2000 \kuruboshwe(\frac{1}{2}\kurudyi)^{\frac{5}{t_{1/2}}} \]
\[ \frac{1}{8} = \left(\frac{1}{2}\right)^{\frac{5}{t_{1/2}}} \]
Kuti tigadzirise equation iyi, tinosarudza simba re \(\frac{1}{2}\) rinoita kuti pave ne \(\frac{1}{8}\). Saka, \(\left(\frac{1}{2}\right)^3 = \frac{1}{8}\).
Saka, tinogona kunyora:
\[ \frac{5}{t_{1/2}} = 3 \]
\[t_{1/2} = \frac{5}{3} \inenge 1.67 \chinyorwa{makore} \]
Saka, hafu yehupenyu hwe isotope inenge makore 1.67.
Mubvunzo 3: Simba reKuora kweRadioactive
Mubvunzo: Nucleus yeatomu inoora nekuburitsa alpha particle (helion: He) uye kuburitsa 5 MeV yesimba. Verenga simba rinoburitswa kana magiramu gumi enucleus aora zvachose. Fungidzira kuti mole imwe yenucleus iyi ine maatomu eAvogadro asingachinji \(6.022 \times 10^{23}\) asingaperi.
Kukurukurirana: Kutanga, tinofanira kuona kuti maatomu mangani ari mu10 gramu. Kana atomu rimwe chete rikaburitsa 5 MeV, tinofanira kushandura iyi kuita simba rese reatomu ese.
1. Verenga huwandu hwemamoles enucleus:
– Ngatitii huremu hweatomu hwenucleus huri 210 (muenzaniso weisotope).
– Saka, huwandu hwemamota mumagiramu gumi = \(\frac{10}{210}\) mamota.
2. Verenga huwandu hwemaatomu:
– Nhamba yemaatomu = \(\frac{10}{210} \times 6.022 \times 10^{23}\).
3. Verenga simba rose:
– Simba rose = Nhamba yemaatomu \(\nguva\) 5 MeV.
– Yeuka kushandura MeV kuita majoules kana zvichidikanwa (1 MeV = \(1.602 \times 10^{-13}\) J).
Saka:
Nhamba yemaatomu = \(\frac{10}{210} \times 6.022 \times 10^{23}\).
Simba rose = \(\left(\frac{10}{210} \times 6.022 \times 10^{23}\right) \times 5 \times 1.602 \times 10^{-13}\) J.
Izvi zvinopa huwandu hwese hwesimba rakaverengerwa muJoules.
Mhedziso
Kukurukurirana kuri pamusoro apa kunopa mimwe mienzaniso yakajairika yezvinetso zve radioactivity zvinogona kumuka muzvidzidzo zve physics yenyukireya. Kunzwisisa kwakakwana pfungwa dzekuora kwe radioactive, kuverenga hafu yehupenyu, uye chiitiko nesimba zvinogadzirwa nekuora kwakakosha, sezvo izvi zvine zvazvinoreva zvakanyanya muminda yakasiyana-siyana, kusanganisira mushonga (kunyanya radiotherapy), simba renyukireya, uye dziviriro yemwaranzi.
Kunzwisisa pfungwa idzi dzekutanga kunoumbawo hwaro hwekutsvaga matekinoroji emangwana ane chekuita nemwaranzi, ukuwo uchisimudzira ruzivo rwekukosha kwekubata zvinhu zvine mwaranzi zvakachengeteka kuchengetedza hutano hwevanhu nenharaunda. Sevadzidzi kana vaongorori, kugona kugadzirisa matambudziko akadai kunogona kubatsira mukuwedzera kushandiswa kwesainzi uye kuwana zvinhu zvitsva.
