Question

In which of the following conditions, the distance between the molecules of hydrogen gas would increase?
1.Increasing pressure on hydrogen contained in a close container.
2.Some hydrogen gas leaking out of the container.
3.Increasing the volume of the container of hydrogen gas.
4.Adding more hydrogen gas to the container without increasing the volume of the container.
A.1 and 3
B.1 and 4
C.2 and 3
D.2 and 4

Answer 1

Hint: Boyle’s law gives the relationship between volume and pressure at constant temperature. Charle’s law gives the relationship between volume and temperature at constant pressure and amount of gas.

Complete step by step answer:
-According to Boyle’s law pressure and volume are inversely proportional at constant temperature.
-According to Charle’s law volume is directly proportional to temperature at constant pressure.
-We all know the ideal gas equation PV=nRT. Where P is the Pressure, V is the volume , T is the temperature, n is the number of moles of the gas and R is the universal gas constant.
When the pressure increases the molecules will come closer and the distance between the molecules decreases and hence the volume. If some hydrogen gas is leaking out of the container, the remaining gas molecules will get more space. So they start to move freely that will increase the distance between the molecules.
-When we increase the volume of the container the same thing will happen. Molecules will get more space and hence the distance between the molecules increases. Addition of more hydrogen gas without increasing the volume of the container will decrease the distance between molecules. Because as the number of molecules increases that will decrease the space for each molecule.

Hence the correct answer is (C). i.e leakage of hydrogen gas and increasing the volume of the container will increase the distance between the molecules.

Note:
Significance of Boyle’s law-
At high altitudes pressure will be law, so volume of the air will be increased. Less oxygen will be available for us. So at high altitude it will be difficult for breathing. As the volume of the air increases, density will decrease, that is, volume and density are inversely proportional.