Answer: The volume of water vapor is 48.7 L
Step-by-step explanation:
To calculate the number of moles, we use the equation given by ideal gas equation:
![PV=nRT](https://img.qammunity.org/2019/formulas/chemistry/college/sadva412qmvxq3yijfpjgu3po09xu9zppw.png)
Or,
![PV=(m)/(M)RT](https://img.qammunity.org/2019/formulas/chemistry/middle-school/l0an7x6vmojiv5dfy20yocvaqemkxo6yio.png)
where,
P = pressure = 100 kPa
V = Volume = ?
m = mass of water vapor = 36 grams
M = molar mass of water = 18 g/mol
R = Gas constant =
![8.31\text{L kPa }mol^(-1)K^(-1)](https://img.qammunity.org/2019/formulas/chemistry/middle-school/7t9a1zegyjf6liznuoiw8e9ldu6r51wm25.png)
T = temperature = 293 K
Putting values in above equation, we get:
![100kPa* V=(36g)/(18g/mol)* 8.31\text{L kPa }mol^(-1)K^(-1)* 293K\\\\V=48.7L](https://img.qammunity.org/2019/formulas/chemistry/middle-school/fcyf5gevyw6adv4o56vas6m5sm91owxwdo.png)
Hence, the volume of water vapor is 48.7 L