The volume of an ideal gas will remain unchanged.
According to the ideal gas equation, PV=nRT, where P, V, and T stand for pressure, volume, and temperature, respectively; n denotes the quantity of material, and R denotes the ideal gas constant. a formula that converts the volume and pressure of a mole of gas into their combined thermodynamic temperature and gas constant. At low pressures, the equation is a decent approximation for real gases and is precise for an ideal gas. In the given question, both the pressure and temperature decrease to one-fourth of their initial values, hence they both cancel out each other in the equation and hence the volume remains unchanged.
Therefore, the volume of 1 mol of an ideal gas in a given container remains the same.
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