Question
Question: When \(1g\) of water at \(100{}^\circ C\) gets converted into steam at the same temperature, the cha...
When 1g of water at 100∘C gets converted into steam at the same temperature, the change in volume is approximately:
A.1 cc
B.1000 cc
C.1500 cc
D.1670 cc
Solution
Before talking about the answer, we should know what steam is. Steam is defined as a water which is in gas form. It is formed due to evaporation. Here, we are going to find the change in the volume with the help of density formula.
Formula used: m=δV
where m is the mass of water, δ is the density of water and V is the volume of water.
Complete step by step answer:
When water is heated, it will start evaporating, that means it starts getting converted into water vapour and expands. At 100∘C , the water gets evaporated and converted into steam, which is an invisible gas.
Here, it is given that 1g of water at 100∘C gets converted into steam at the same temperature.
And as we know, density of water, δ=1000kg/m3
⇒1g/cm3
And density of steam, δ=0.6kg/m3
⇒0.0006g/cm3
Here, mass of water (m) is 1g
m=δV
Substituting the values we have, in the above formula, we get
V=δm
V=11=1
V denotes as the volume of water
Volume of water is 1cc .
Volume of the steam,
V′=ρm
V′=0.00061=1666.7cc≈1667cc
V′ denotes as the volume of steam
Here, the density of steam is used.
Therefore, the change in volume,
ΔV=V′−V ΔV=1667−1=1666cc
which is close to 1670 cc
So, the correct option is (D), that is, 1670 cc .
Additional Information:
Density is defined as mass per unit volume. For a pure substance, the density is equal to its mass concentration. The density varies with pressure and temperature. The reciprocal of density of a compound is known as specific volume.
Volume is defined as the quantity of three-dimensional space which is occupied by a liquid, solid or a gas. Units that are used to express volume are litres, milliliters, cubic meters.
Note:
Make sure to convert kg/m3 to g/cm3. The volume of water and steam is calculated in cm .
The mass of one cc of water at 3.98∘C is nearly equal to one gram.