# Calculate the activity in Bq of 1g of (238-94 Pu).

• Toby Simpson
In summary, the formula for calculating activity in Bq is: Activity (Bq) = Avogadro's Number x Number of atoms x Decay Constant. Avogadro's Number is a constant used to convert between the number of atoms and the number of moles in a given substance. The number of atoms in 1g of a substance can be calculated by dividing the mass of the substance (in grams) by its molar mass and then multiplying by Avogadro's Number. The decay constant, denoted as λ (lambda), is a measure of how quickly a radioactive substance decays and is used in the formula for calculating activity in Bq. To calculate the activity in Bq of 1g of a radioactive substance
Toby Simpson
Homework Statement
Question: Calculate the activity in Bq of 1g of (238-94 Pu).

Would love some help with the working. The final answer is 6.35 x 1011 Bq
Relevant Equations
Atomic Mass of Pu = 238.049550u
Previously calculated: λ=2.51x10-10 s-1
Problem Statement: Question: Calculate the activity in Bq of 1g of (238-94 Pu).Would love some help with the working. The final answer is 6.35 x 1011 Bq
Relevant Equations: Atomic Mass of Pu = 238.049550u
Previously calculated: λ=2.51x10-10 s-1

Pls help

do you know any equations relating activity with other variables

## 1. How is the activity of 1g of (238-94 Pu) calculated?

The activity of 1g of (238-94 Pu) can be calculated by using the following formula: Activity (Bq) = (decay constant x number of atoms of (238-94 Pu) x Avogadro's number) / mass of (238-94 Pu).

## 2. What is the decay constant for (238-94 Pu)?

The decay constant for (238-94 Pu) is 4.95 x 10^-18 per second. This value is a constant for each radioactive isotope and is used in the calculation of its activity.

## 3. How many atoms of (238-94 Pu) are present in 1g of the substance?

The number of atoms present in 1g of (238-94 Pu) can be calculated by dividing the mass of the substance (1g) by its molar mass (244.06 g/mol) and then multiplying the result by Avogadro's number (6.022 x 10^23). This will give us approximately 2.47 x 10^19 atoms.

## 4. What is the mass of (238-94 Pu) needed to reach a specific activity?

The mass of (238-94 Pu) needed to reach a specific activity can be calculated by rearranging the formula for activity: Mass of (238-94 Pu) = (activity x mass of (238-94 Pu)) / (decay constant x Avogadro's number).

## 5. How long will it take for the activity of 1g of (238-94 Pu) to reach a certain level?

The time it takes for the activity of 1g of (238-94 Pu) to reach a certain level can be calculated using the formula: Time (seconds) = ln(Initial activity / Final activity) / decay constant. The initial activity can be calculated using the formula mentioned in question 1 and the final activity can be set to the desired level.

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