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A certain amount of an ideal gas occupies a volume of $1.0m^3$ at a given temperature and pressure. What would be its volume after reducing its pressure to half the initial value and raising the temperature twice the initial value?

$(a)\;1m^3\qquad(b)\;2m^3\qquad(c)\;3m^3\qquad(d)\;4m^3$

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