The number of moles added to increase the volume of the gas from 8.51 L to 15.5 L is 8.67 moles.
The initial volume of the gas is 8.15 L and final volume of gas is 15.5 L and the initial moles are 9.51 moles.
As per the Ideal gas equation,
PV = nRT
where,
P is pressure,
V is volume of gas,
n is the number of moles of gas,
R is the gas constant,
T is the temperature of the gas.
Rearranging the equation,
V/n = RT/P
The left side is constant, so, it is valid to see,
V₁/n₁ = V₂/n₂
V₁ is initial volume,
n₁ is the initial moles,
V₂ is the final volume,
n₂ is the final moles.
So, we can write this by putting the values,
8.51/(9.5) = 15.5/n₂
n₂ = 18.17
The number of moles added = n₁ - n₂
Added moles = 8.67 moles
The moles added are 8.67 moles.
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