According to the given statement 1.96 L is the new volume assuming temperature is constant.
An volume of a gas is just one where there were no intermolecular attraction forces and all collisions involving atoms or molecules are entirely elastic. It can be seen as a group of perfectly spherical particles that collide but do not otherwise interact with one another.
Initial pressure (P₁): 0.98 atm
Initial volume (V₁): 1.0 L
Final pressure (P₂): 0.50 atm
Final volume (V₂): ?
Boyle's law provides an expression for this for an ideal gas that experiences an isothermal change.
P₁×V₁ = P₂×V₂
V₂ = P₁×V₁ / P₂
V₂ = 0.98 atm * 1.0 l / 0.50 atm
V₂ = 1.96 L
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