Question

1.) A chemical species can take on three different forms: A, B and C. After some amount of time passes, the chemical can change between each form in a predictable way. If it is found in form A, it has a 10% chance to convert to B, 80% chance to convert to C and 10% chance to remain as A. From form B, it has a 20% chance to become A, 30% chance to convert to C and a 50% chance to remain as B. Finally, if it is in form C, it converts to A 60% of the time, to B 20% of the time and stays in the form of C 20% of the time. (a - 2 points) If you start with 100 kg of pure form A and 50 kg of pure form B and allow the conversion above to take place, how many kg of form C are you likely to have?

Answer 1

Step:-1 Guiven, In form A, 10% chance to B 80% chance to e 10% chance to remain as A In form B, 20% chance to 30% chance to c 50% chance to remain as B. Im form C 60% chance to 20% chance to B 2017 chance to remain as c.

Step: 2 100 kg of A and so kg of B. A 80% chance to c. 100 kg + 80 80 kg C 100 B 30% chance to c. 50 kg * * 30 2 15 kg C 100 total amount of 'ċ likely to have 80 kg + 15 kg 2 as hg of y