Answer: The volume of gas is 48.69L.
Explanation:
To calculate the number of moles of gas, we use the equation:
[tex]\text{Number of moles}=\frac{\text{Given mass}}{\text{Molar mass}}[/tex]
Given mass of water = 36 g
Molar mass of water = 18 g/mol
Putting values in above equation, we get:
[tex]\text{Moles of water}=\frac{36g}{18g/mol}=2mol[/tex]
Now, to calculate the volume of gas, we use the equation given by ideal gas, which is:
[tex]PV=nRT[/tex]
where,
P = pressure of the gas = 100 kPa
V = volume of the gas = ? L
n = Number of moles of gas = 2 mol
R = Gas constant = [tex]8.31\text{ L kPa }mol^{-1}K^{-1}[/tex]
T = temperature of the gas = 293 K
Putting values in above equation, we get:
[tex]100kPa\times V=2mol\times 8.31\text{ L kPa }\times 293K\\\\V=48.69L[/tex]
Hence, the volume of gas is 48.69L.
