14.113 moles of gas added to the container assuming the pressure and temperature of the gas remains constant.
According to the Ideal gas law,
PV = n RT
where, P = pressure
V = Volume (liters)
n = number of moles of gas
T = Absolute Temperature (Kelvin)
At constant temperature and volume the pressure of a gas is directly proportional to the number of moles of gas. then we can write,
v1/n1 = v2/n2
V1 is the initial volume , V2 is the final volume , n1 is the initial mole of gas and n2 is the final mole of gas.
A container at an initial volume of 5.12 l contains 6.51 mole of gas and when more gas is added to the container until it reaches a final volume of 11.1L . so here, V2 is 11.1L , V1 is 5.12 L , n1 is 6.51 mole .
Putting all the values in the expression,
n2 = v2n1/v1
= 11.1L . 6.51 mole / 5.12 L
=14.113 moles
To learn more about Ideal gas law please visit:
https://brainly.com/question/15132707
#SPJ4