The volume of the ideal gas sample after the reaction takes place is 13.5 L.
We need to know about the ideal gas theory to solve this problem. The ideal gas is assumed that there is no interaction between particles in a gas. It can be determined by the equation
P . V = n . R . T
where P is pressure, V is volume, n is the number of moles gas, R is the ideal gas constant (8.31 J/mol.K) and T is temperature.
From the question above, we know that
n1 = 0.17 mol
n2 = 0.085 mol
V = 13.5 L
When the initial and final temperature is the same, we can use the ratio of mol and volume as
n / V = constant
Hence,
ntotal / Vtotal = n1 / V + n2 / V
0.17 + 0.085 / Vtotal = 0.17 / 13.5 + 0.085 / 13.5
0.255 / Vtotal = 0.255 / 13.5
Vtotal = 13.5 L
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