At constant temperature, if the volume of a given mass of an ideal gas is doubled, then the density of the gas will

Explanation

Density is defined as the mass of a substance divided by its volume, mathematically expressed as ρ = m/V. If the volume is doubled, the new density becomes ρ = m/(2V), indicating that the density is halved. Therefore, the correct answer is that the density will be 1/2 of the original value. Options suggesting that the density doubles or remains constant are incorrect because they do not account for the inverse relationship between density and volume. Similarly, the suggestion that density becomes 1/4 of the original value is incorrect because it would require the volume to quadruple, not double.