Respuesta :
Ideal Gas Law is as follows:
PV = nRT
Now lets rearrange so we can get rid of some variables.
V/n = RT/P
Assuming temperature and pressure are the same (atmospheric pressure), we can get:
PV/n = constant (k)
Now since we are dealing with an initial state (2.3 moles, 1.4 liters) lets set that as
V1 and n1 and the final state as V2 and n2
.V1/n1 = constant (k)
V2/n2 = constant (k)
Because the constant is the same (remember me making the assumptions above??)
V1/n1 = V2/n2
now rearrangement:
n1/V1/V2 = 1/n2 -1 = n2
Answer: 11.8 moles are in the final vessel. So to answer the question how much was ADDED, we need to subtract the initial mole number.
11.8 - 2.3 mols = 9.5 mols added
The number of moles of gas were added to a balloon that started with 2.3 moles of gas and a volume increases from 1.4L to 7.2L is 11.82 moles.
How do we calculate moles?
Number of moles of any gas will be calculated by uisng the ideal gas equation PV = nRT, for the given question equation becomes as:
V₁/n₁ = V₂/n₂, where
V₁ = initial volume = 1.4L
n₁ = initial moles = 2.3mol
V₂ = final volume = 7.2L
n₂ = final moles = ?
On putting values, we get
n₂ = (7.2)(2.3) / (1.4) = 11.82 moles
Hence required moles of gas is 11.82 mol.
To know more about ideal gas equation, visit the below link:
https://brainly.com/question/15046679
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