Answer
Please see the work below.
Work Step by Step
We know that
$V_f=V_i\times \frac{P_i}{P_f}\times \frac{T_f}{T_i}$
$V_f=5.0dm^3\times \frac{100.0Kpa}{79.0Kpa}\times \frac{293}{287}=6.46dm^3$
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