The minimum pressure of ideal gas is 135.36 psi.
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
V₁ = 250 mL = 0.25 L
V₂ = 2.5 L
P₂ = 700 torr
When the initial and final temperature is the same, we can use the ratio of pressure and volume as
P₁ . V₁ = P₂ . V₂
P₁ . 0.25 = 700 . 2.5
P₁ = 7000 torr
convert to psi
P₁ = 7000 torr
P₁ = 7000 / 51.715 psi
P₁ = 135.36 psi
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