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mixer [17]
3 years ago
15

5 A volcanic eruption launches thousands of rocks into the air, The rocks will travel

Physics
1 answer:
Oxana [17]3 years ago
6 0
B. There is an unbalanced force acting on them
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78 grams of a radioactive nuclei X undergoes radioactive decay. The half-life of X is 4.7 minutes. After 16.5 minutes, the remai
kipiarov [429]

<u>Answer:</u> The remaining sample of X is 6.9 grams.

<u>Explanation:</u>

All the radioactive reactions follow first order kinetics.

The equation used to calculate rate constant from given half life for first order kinetics:

t_{1/2}=\frac{0.693}{k}

We are given:

t_{1/2}=4.7min

Putting values in above equation, we get:

k=\frac{0.693}{4.7min}=0.147min^{-1}

The equation used to calculate time period follows:

N=N_o\times e^{-k\times t}

where,

N_o = initial mass of sample X = 78 g

N = remaining mass of sample X = ? g

t = time = 16.5 min

k = rate constant = 0.147min^{-1}

Putting values in above equation, we get:

N=78\times e^{-(0.147min^{-1}\times 16.5min)}\\\\N=6.9g

Hence, the remaining amount of sample X is 6.9 g

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