Question

The number of grams of palladium-98 remaining after minutes is given by (a) Find the quantity remaining after minute. Enter the exact answer. The quantity remaining after minute is grams. (b) Find the quantity remaining after minutes. Round your answer to three decimal places. The quantity remaining after minutes is grams. (c) Find the quantity remaining after hour. Round your answer to three decimal places. The quantity remaining after hour is grams.

Answer 1

The question is incomplete. The complete question is as follows.

The number of grams of palladium-98 remaining after minutes is given by

`Q = 500.(0.962)^(t)`.

a.) Find the quantity remaining after 1 minute. Enter the exact number.

b.) Find the quantity remaining after 3 minutes. Round your answer to 3 decimal places.

c.) Find the quantity remaining after 1 hour. Round your answer to 3 decimal places.

Answer: a.) 481 grams; b.) 445.138 grams; c.) 48.918 grams;

Step-by-step explanation: The equation given is for mass of paladium-98 that remains after determined minutes, so:

a.)
`Q = 500.(0.962)^(t)`

in 1 minute:

`Q = 500.(0.962)^1`

Q = 481

The quantity remaining after 1 minute is 481 grams.

b.)
`Q = 500.(0.962)^(t)`

`Q = 500. (0.962)^(3)`

Q = 445.138

The quantity remaining after 3 minutes is 445.138 grams.

c.)
`Q = 500.(0.962)^(t)`

Since t is in minutes, 1 hour is 60 minutes.

`Q = 500.(0.962)^(60)`

Q = 48.918

The quantity remaining after 1 hour is 48.918 grams.