The activity of the modern sample is 1.10 bq. how long does that measurement take?

The measurement will take approximately 227 minutes (13,600 seconds).

Explanation:

Prepare the sample for 14C dating. In order to do this calculation, you first need to know that one Bq refers to decay of one nucleus in one second. Now you can calculate how long it will take for 12,360 decays to occur. The activity as given in the question statement is 1.10 Bq, all you have to do is to multiply the number of decays to the Bq value given.

1.10 * 12,360 = 13,600 seconds

Hope that answers the question, have a great day!