Chemistry, asked by mannysingh7619, 11 months ago

300 g of an unknown radioactive substance decays to 112 g after 180 seconds. What is the half life of this substance ?

Answers

Answered by vidhidhama24
0

Answer:

2.1

minutes

Explanation:

The half-life equation states that,

A

=

A

0

(

1

2

)

t

t

0.5

A

0

is the initial amount of substance

t

is the time

t

0.5

is the half-life of the substance

We got:

A

0

=

300

g

,

A

=

112

g

,

t

=

180

s

=

3

min

.

And so,

112

g

=

300

g

(

1

2

)

3

min

t

0.5

(

1

2

)

3

min

t

0.5

=

112

g

300

g

=

0.37

ln

[

(

1

2

)

3

min

t

0.5

]

=

ln

0.37

3

min

t

0.5

ln

(

1

2

)

=

ln

0.37

3

min

t

0.5

=

ln

0.37

ln

(

1

2

)

t

0.5

3

min

=

ln

(

1

2

)

ln

0.37

t

0.5

=

3

min

ln

(

1

2

)

ln

0.37

0.7

3

min

=

2.1

min

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