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Using the combined gas law, we can calculate the final pressure of the refrigerant:
PV = nRT
where P is pressure, V is volume, n is the number of moles, R is the ideal gas constant (0.0821 L*atm/(mol*K)), and T is temperature. Assuming that the temperature and number of moles of the refrigerant remain constant, we can write:
P1V1 = P2V2Plugging in the given values:
(585 mm Hg)(0.25 L) = P2(1.00 L)P2 = 146.25 mm HgTherefore, the final pressure of the refrigerant will be 146.25 mm Hg.