Question:
The radioisotope, tritium 13(H) has a half-life of 12.3 years. If the initial amount of tritium is 32 mg, how many milligrams of it would remain after 49.2 years:
The radioisotope, tritium 13(H) has a half-life of 12.3 years. If the initial amount of tritium is 32 mg, how many milligrams of it would remain after 49.2 years:
Updated On: Apr 21, 2025
1 mg
2 mg
4 mg
8 mg
Hide Solution
Verified By Collegedunia
The Correct Option is B
Solution and Explanation
radioactive decay formula:
N(t) = N₀\(\times\)(\(\frac{1}{2}\))(\(\frac{t}{T}\))
Given,
N₀ = 32 mg
t = 49.2 years
T = 12.3 year
Put these values into the formula:
N(49.2) = 32 mg\(\times\)(\(\frac{1}{2}\)) (\(\frac{49.2}{12.3}\))
N(49.2) = 32 mg\(\times\)(\(\frac{1}{2}\))(4)
N(49.2) = 32 mg\(\times\)(\(\frac{1}{16}\))
N(49.2) = 2 mg
So, after 49.2 years, there would be 2 mg of tritium remaining.
The correct answer is (B) 2 mg.
N(t) = N₀\(\times\)(\(\frac{1}{2}\))(\(\frac{t}{T}\))
Given,
N₀ = 32 mg
t = 49.2 years
T = 12.3 year
Put these values into the formula:
N(49.2) = 32 mg\(\times\)(\(\frac{1}{2}\)) (\(\frac{49.2}{12.3}\))
N(49.2) = 32 mg\(\times\)(\(\frac{1}{2}\))(4)
N(49.2) = 32 mg\(\times\)(\(\frac{1}{16}\))
N(49.2) = 2 mg
So, after 49.2 years, there would be 2 mg of tritium remaining.
The correct answer is (B) 2 mg.
Was this answer helpful?
0
0
Top Questions on Chemical Kinetics
- For a reaction X + Y → Z, in which both X and Y follow first order kinetics; if the concentration of X is increased 2 times and concentration of Y is increased 3 times, how does it affect the rate of reaction?
- CBSE CLASS XII - 2025
- Chemistry
- Chemical Kinetics
- Give any two differences between order and molecularity of a reaction.
- CBSE CLASS XII - 2025
- Chemistry
- Chemical Kinetics
- For the reaction A + B $\to$ Products, the following initial rates were obtained at various initial concentrations of reactants:
Reaction Rate Data
Sl. No. [A] (mol L−1) [B] (mol L−1) Initial rate (mol L−1 s−1) 1 0.1 0.1 0.05 2 0.2 0.1 0.10 3 0.1 0.2 0.05 - CBSE CLASS XII - 2025
- Chemistry
- Chemical Kinetics
- Define rate constant.
- CBSE CLASS XII - 2025
- Chemistry
- Chemical Kinetics
- For the reaction A + B $\to$ Products, the following initial rates were obtained at various initial concentrations of reactants:
Sl. No. [A] (mol L-1) [B] (mol L-1) Initial rate (mol L-1 s-1) 1 0.1 0.1 0.05 2 0.2 0.1 0.10 3 0.1 0.2 0.05 - CBSE CLASS XII - 2025
- Chemistry
- Chemical Kinetics
View More Questions
Questions Asked in NEET exam
- Consider the diameter of a spherical object being measured with the help of a Vernier Callipers. Suppose its 10 Vernier Scale Divisions (V.S.D.) are equal to its 9 Main Scale Divisions (M.S.D.). The least count in the M.S. is 0.1 cm and the zero of V.S. is at -0.1 cm when the jaws of Vernier callipers are closed. If the main scale reading for the diameter is \(M = 5\) cm and the number of coinciding vernier division is 8, the measured diameter after zero error correction, is:
- NEET (UG) - 2025
- Measurement of length
- De-Broglie wavelength of an electron orbiting in the \(n = 2\) state of hydrogen atom is close to (Given Bohr radius = 0.052 nm):
- NEET (UG) - 2025
- de broglie hypothesis
- Which chromosome in the human genome has the highest number of genes?
- NEET (UG) - 2025
- Human genome
- In a certain camera, a combination of four similar thin convex lenses are arranged axially in contact. Then the power of the combination and the total magnification in comparison to one lens will be, respectively:
- NEET (UG) - 2025
- Images Formed By Lenses
AB is a part of an electrical circuit (see figure). The potential difference \(V_A - V_B\), at the instant when current \(i = 2\) A and is increasing at a rate of 1 amp/second is:
- NEET (UG) - 2025
- Electromagnetic Induction and Inductance
View More Questions
Concepts Used:
Translocation of Solutes
- Translocation of organic solutes deals with the movement of organic food components or soluble solutes from one location to another in higher plants.
- These organic solutes include the soluble products of photosynthesis, amino acids, and other substances.
- It is a process that takes place in the sieve tubes with the help of adjacent companion cells in both upwards and downwards direction.
Downward translocation:
It is the transportation of the products of photosynthesis from the leaves to the stems and roots for consumption and storage. This process takes place in the sieve tubes with the help of adjacent companion cells.
Upward translocation:
It happens or occurs primarily during the germination of seeds, tubers, and other plants. When food is stored and converted into a soluble form, it is transported to the young seedling's upper growth section until it develops green leaves.
- Solutes are also moved upward from the stem to the branch's tip, where young leaves, buds, and flowers are found. Although translocation of organic solutes takes place through the phloem, under certain conditions, it may occur through the xylem.