Answer:
7.61 moles
Explanation:
Hello, we'll first of all get the required data from the question to enable us find the best approach to the question.
Data;
Initial volume (V1) = 6.13L
Initial number of moles (n1) = 6.51mol
Final volume (V2) = 13.3L
Final number of moles = ?
To solve this question, we'll use Avogadro's law which states that the number of moles of a fixed mass of gas is directly proportional to its volume provided that temperature and pressure remains constant.
Mathematically,
n = kV, k = n / V
n1 / V1 = n2 / V2 = n3 / V3 =..........=Nx / Vx
n1 / V1 = n2 / V2
Substitute the values into the above equation
6.51 / 6.13 = n2 / 13.3
n2 = (6.51 × 13.3) / 6.13
n2 = 14.12moles
The final mole of the gas is equal to 14.12mol
To find the number of moles added to the system, we'll subtract the initial mole from the final mole.
Number of moles added = n2 - n1
Number of moles added = 14.12 - 6.51
Number of moles added = 7.61moles
Therefore, 7.61 moles of the gas was added into the system
