Final answer:
The query is a physics question requiring knowledge of buoyancy and gas laws to determine the volume of a balloon needed to lift an object given the density differences between the lifting gas and air.
Step-by-step explanation:
The student's question deals with determining the volume of a balloon needed to lift an object, taking into account the characteristics of the lifting gas (density, pressure, temperature), and comparing it to the density of the outside air. Such a problem involves applying principles from physics, specifically those related to buoyancy and the ideal gas law.
The lifting capacity of a balloon depends on the difference in density between the lifting gas and the surrounding atmosphere. Since the density of the lifting gas provided (0.010 kg/m³) is less than that of the outside air (1.5 × 10⁻² kg/m³), it will provide a buoyant force on the balloon. To calculate the volume of gas needed, we have to ensure that the buoyant force is strong enough to lift the object including the balloon hardware.
However, the question is part of a larger set of questions that include additional examples requiring computation. These would also involve physics concepts, as they pertain to gas laws and buoyancy but without specific numerical values and detailed context, precise calculations can't be made.