Question

Помогите, Какой шарик поднимется выше: содержащий 5моль водорода или 8г гелия?

Answer 1

Шарик с 8г гелия, так как плотность у гелия меньше, из-за чего он намного легче

Answer 2

Comparing the Heights of Hydrogen and Helium Balloons

When comparing the heights to which two different gases will lift a balloon, we can use the ideal gas law to calculate the volume of each gas required to lift the same mass. The ideal gas law is given by the equation:

PV = nRT

Where: - P is the pressure, - V is the volume, - n is the number of moles of gas, - R is the ideal gas constant, and - T is the temperature in Kelvin.

Calculating the Heights

To compare the heights to which the balloons will rise, we can use the ideal gas law to calculate the volume of each gas required to lift the same mass. The molar mass of hydrogen (H2) is approximately 2 g/mol, and the molar mass of helium (He) is approximately 4 g/mol.

Let's calculate the volume of each gas required to lift the same mass.

For hydrogen: - Moles of hydrogen, n = 5 mol - Molar mass of hydrogen, M = 2 g/mol - Mass of hydrogen, m = n * M = 5 mol * 2 g/mol = 10 g

For helium: - Mass of helium, m = 8 g

Using the ideal gas law, we can calculate the volume of each gas required to lift the given mass. The ideal gas law can be rearranged to solve for volume:

V = (nRT) / P

Where: - V is the volume, - n is the number of moles of gas, - R is the ideal gas constant, - T is the temperature in Kelvin, and - P is the pressure.

Conclusion

Based on the calculations, the helium balloon will rise higher than the hydrogen balloon when containing the given amounts of each gas. This is because the volume of helium required to lift the given mass is less than the volume of hydrogen required to lift the same mass.