Acceso
Prima
Hogar Banco de preguntas Otro
Pregunta
upstudy study bank question image url

The half-life of a radioactive isotope is the time it takes for a quantity of the isotope to be reduced to half its initial mass. Starting with 165 grams of a radioactive isotope, how much will be left after 3 half-lives? Use the calculator provided and round your answer to the nearest gram. \( \square \) grams

Ask by West Herrera. in the United States
Jan 27,2025

Solución de tutoría real

Respuesta verificada por el tutor

Responder

After 3 half-lives, 21 grams of the isotope will remain.

Solución

To determine how much of the radioactive isotope remains after 3 half-lives, follow these steps: 1. **Initial Amount:** Start with **165 grams** of the isotope. 2. **Half-Life Reduction:** Each half-life reduces the remaining amount by half. - **After 1 half-life:** \( \frac{165}{2} = 82.5 \) grams - **After 2 half-lives:** \( \frac{82.5}{2} = 41.25 \) grams - **After 3 half-lives:** \( \frac{41.25}{2} = 20.625 \) grams 3. **Rounding:** Round **20.625 grams** to the nearest whole number: **21 grams** **Final Answer:** \( \boxed{21} \) grams

Revisado y aprobado por el equipo de tutoría de UpStudy

error msg
Explicar
Simplifique esta solución

Mind Expander

After 1 half-life, 165 grams will reduce to 82.5 grams. After the second half-life, that amount becomes 41.25 grams. Finally, after the third half-life, you will be left with about 20.625 grams. When rounding to the nearest gram, the final answer is 21 grams. Speaking of half-lives, did you know that the concept of half-life isn't just relegated to radioactive isotopes? It's also applied in medicine, particularly in pharmacology, to determine how long a drug stays active in the body. This information helps ensure that medications are used effectively and safely! On a fun note, the gravitational concept of a “half-life” can be seen in everyday phenomena! For example, consider how your leftovers lose their freshness over time. Just like isotopes decay, the taste and quality of food can diminish, letting you know when it's time to toss that takeout!

preguntas relacionadas

Under what mode of writing will you most likely find a procedural document? informational narrative argumentative media/visual
Otro Japan Jan 27, 2025
จงหา \( A \cup B \) เมื่อกำหนคเซต \( A \) และเซต \( B \) ต่อไปนี้ 1. \( \mathbf{A}=\{1,2\} \quad \mathrm{B}=\{3,4\} \) \( A \cup B= \) \( \qquad \) 2. \( \mathbf{A}=\{1,3\} \quad \mathrm{B}=\{1,3,5\} \) \( A \cup B= \) \( \qquad \) 3. \( A=\left\{x \in I^{+} \mid x \leq 4\right\} \quad B=\left\{x \mid x \in I^{+}\right\} \) \( A \cup B= \) \( \qquad \) 4. \( A=\{x \in I \mid-5 \leq x \leq 5\} \quad B=\{x \in I \mid x>2\} \) \( A \cup B= \) \( \qquad \) 5. \( A=\{x \in I \mid x>2\} \quad B=\{x \in I \mid x<5\} \) \( A \cup B= \) \( \qquad \) 6. \( A=\left\{x \in I \mid 15 x^{2}-2 x-1=0\right\} \quad B=\left\{x \in I \mid x^{2}-9 x+14=0\right\} \) \( A \cup B= \) \( \qquad \) 7. \( A=\{0,1,3,5\} \quad B=\{1,3,4,6\} \) \( A \cup B= \) \( \qquad \)
Otro Thailand Jan 27, 2025
6. A(n) advantage of nuclear energy is that it does not pollute the air or water unless something goes wrong with the plant.
Otro United States Jan 27, 2025
คำชี้แจง กำหนดให้ \( U=\{1,2,3,4,5,6,7,8,9,10\} \) \[ \begin{array}{l} A=\left\{x \in I^{+} \mid 5 \leq x<10\right\} \\ B=\left\{x \in I^{+} \mid 2<x \leq 6\right\} \\ C=\left\{x \in I^{+} \mid 3<x \leq 7\right\} \end{array} \] จงหาเซตในแต่ละข้อต่อไปนี้ 1) \( \mathrm{A} \cap \mathrm{B} \quad= \) 2) \( \mathrm{B} \cap \mathrm{A}= \) 3) \( \mathrm{A} \cap \mathrm{C}= \) 4) \( \mathrm{C} \cap \mathrm{A}= \) 5) \( \mathrm{A} \cap \mathrm{B} \cap \mathrm{C} \) 6) \( (A \cup B) \cap C= \) 7) \( (A \cap B) \cup C= \) 8) \( (A \cup B) \cap(A \cup C)= \) 9) \( (\mathrm{A} \cap \mathrm{B}) \cup(\mathrm{A} \cap \mathrm{C})= \)
Otro Thailand Jan 27, 2025
Dampers aren't operating properly in Lynn's HVAC system. The repairwoman checks the pneumatic pressure and reads that it's 20 psi. This indicates that the psi is A) at risk for critical system failure. B) higher than operating tolerances. C) within operating tolerances. D) lower than operating tolerances.
Otro United States Jan 27, 2025

Latest Other Questions

จงหา \( A \cup B \) เมื่อกำหนคเซต \( A \) และเซต \( B \) ต่อไปนี้ 1. \( \mathbf{A}=\{1,2\} \quad \mathrm{B}=\{3,4\} \) \( A \cup B= \) \( \qquad \) 2. \( \mathbf{A}=\{1,3\} \quad \mathrm{B}=\{1,3,5\} \) \( A \cup B= \) \( \qquad \) 3. \( A=\left\{x \in I^{+} \mid x \leq 4\right\} \quad B=\left\{x \mid x \in I^{+}\right\} \) \( A \cup B= \) \( \qquad \) 4. \( A=\{x \in I \mid-5 \leq x \leq 5\} \quad B=\{x \in I \mid x>2\} \) \( A \cup B= \) \( \qquad \) 5. \( A=\{x \in I \mid x>2\} \quad B=\{x \in I \mid x<5\} \) \( A \cup B= \) \( \qquad \) 6. \( A=\left\{x \in I \mid 15 x^{2}-2 x-1=0\right\} \quad B=\left\{x \in I \mid x^{2}-9 x+14=0\right\} \) \( A \cup B= \) \( \qquad \) 7. \( A=\{0,1,3,5\} \quad B=\{1,3,4,6\} \) \( A \cup B= \) \( \qquad \)
Otro Thailand Jan 27, 2025
คำชี้แจง กำหนดให้ \( U=\{1,2,3,4,5,6,7,8,9,10\} \) \[ \begin{array}{l} A=\left\{x \in I^{+} \mid 5 \leq x<10\right\} \\ B=\left\{x \in I^{+} \mid 2<x \leq 6\right\} \\ C=\left\{x \in I^{+} \mid 3<x \leq 7\right\} \end{array} \] จงหาเซตในแต่ละข้อต่อไปนี้ 1) \( A \cup B= \) \( \qquad \) 2) \( \mathrm{B} \cup \mathrm{A}= \) \[ \{3,9,5,6,7,8,9\} \] 3) \( \mathrm{A} \cup \mathrm{C}= \) \( \qquad \) 4) \( \mathrm{C} \cup \mathrm{A}= \) 5) \( \mathrm{A} \cup \mathrm{B} \cup \mathrm{C}= \) \( \qquad \) 6) \( (A \cup B) \cup C= \) \( \qquad \) \( \{3,4,5,6,7,8,9\} \)
Otro Thailand Jan 27, 2025
คำชี้แจง กำหนดให้ \( U=\{1,2,3,4,5,6,7,8,9,10\} \) \[ \begin{array}{l} A=\left\{x \in I^{+} \mid 5 \leq x<10\right\} \\ B=\left\{x \in I^{+} \mid 2<x \leq 6\right\} \\ C=\left\{x \in I^{+} \mid 3<x \leq 7\right\} \end{array} \] จงหาเซตในแต่ละข้อต่อไปนี้ 1) \( \mathrm{A} \cap \mathrm{B} \quad= \) 2) \( \mathrm{B} \cap \mathrm{A}= \) 3) \( \mathrm{A} \cap \mathrm{C}= \) 4) \( \mathrm{C} \cap \mathrm{A}= \) 5) \( \mathrm{A} \cap \mathrm{B} \cap \mathrm{C} \) 6) \( (A \cup B) \cap C= \) 7) \( (A \cap B) \cup C= \) 8) \( (A \cup B) \cap(A \cup C)= \) 9) \( (\mathrm{A} \cap \mathrm{B}) \cup(\mathrm{A} \cap \mathrm{C})= \)
Otro Thailand Jan 27, 2025
1.5 Create a VISUAL BOARD in which you illustrate your life goals. 1.6 Briely discuss the importance of prioritising life goals. 1.7 What is the difference between perseverance and persistence?
Otro South Africa Jan 27, 2025
6. A(n) advantage of nuclear energy is that it does not pollute the air or water unless something goes wrong with the plant.
Otro United States Jan 27, 2025
Anterior Próximo
¡Prueba Premium ahora!
¡Prueba Premium y hazle a Thoth AI preguntas de matemáticas ilimitadas ahora!
Quizas mas tarde Hazte Premium
Estudiar puede ser una verdadera lucha
¿Por qué no estudiarlo en UpStudy?
Seleccione su plan a continuación
Prima

Puedes disfrutar

Empieza ahora
  • Explicaciones paso a paso
  • Tutores expertos en vivo 24/7
  • Número ilimitado de preguntas
  • Sin interrupciones
  • Acceso completo a Respuesta y Solución
  • Acceso completo al chat de PDF, al chat de UpStudy y al chat de navegación
Básico

Totalmente gratis pero limitado

  • Solución limitada
Bienvenido a ¡Estudia ahora!
Inicie sesión para continuar con el recorrido de Thoth AI Chat
Continuar con correo electrónico
O continuar con
Al hacer clic en "Iniciar sesión", acepta nuestros términos y condiciones. Términos de Uso & Política de privacidad