At 100^∘ C and 1 atm, if the density of liquid water is 1.0 g cm^-3 and that of water vapour

step 1 In this problem I can write the value of 1 liter is equal to 1000 m l which is equal to 1 ,000 c

At 100^∘ C and 1 atm, if the density of liquid water is 1.0...

At $100^{\circ} \mathrm{C}$ and $1 \mathrm{~atm}$, if the density of liquid water is $1.0 \mathrm{~g} \mathrm{~cm}^{-3}$ and that of water vapour is $0.0006 \mathrm{~g} \mathrm{~cm}^{-3}$, then the volume occupied by water molecules in 1 litre of steam at that temperature (a) $6 \mathrm{~cm}^{3}$ (b) $60 \mathrm{~cm}^{3}$ (c) $0.6 \mathrm{~cm}^{3}$ (d) $0.06 \mathrm{~cm}^{3}$

At $100^{\circ} \mathrm{C}$ and $1 \mathrm{~atm}$, if the density of liquid water is $1.0 \mathrm{~g} \mathrm{~cm}^{-3}$ and that of water vapour is $0.0006 \mathrm{~g} \mathrm{~cm}^{-3}$,
then the volume occupied by water molecules in 1 litre of steam at that temperature
(a) $6 \mathrm{~cm}^{3}$
(b) $60 \mathrm{~cm}^{3}$
(c) $0.6 \mathrm{~cm}^{3}$
(d) $0.06 \mathrm{~cm}^{3}$

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Key Concepts

Density

Density is a fundamental physical property defined as the mass of a substance per unit volume. It is used to determine how much matter is packed into a given volume, and it plays a crucial role in understanding the behavior of substances in different states of matter.

Mass-Volume Relationship and Conservation of Mass

The mass of a substance can be calculated when its density and volume are known. This relationship is critical because mass is conserved during phase changes; even though a substance may occupy a much larger volume when in the gaseous state compared to the liquid state, its total mass remains the same.

Phase Differences and Molecular Distribution

Different states of matter exhibit vastly different molecular arrangements. In gases, molecules are widely spaced relative to liquids, meaning that the actual volume occupied by the molecules is only a tiny fraction of the overall volume of the gas. This concept explains why, despite gas filling a container, the cumulative volume of the particles themselves can be very small.

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