Question

36 grams of water vapor takes up how many liters at room temperature and pressure(293 k and 100 kPa)

Answer 1

0.036 liters of water at room temp

Answer 2

Answer: The volume of gas is 48.69L.

Step-by-step explanation:

To calculate the number of moles of gas, we use the equation:

`\text{Number of moles}=\frac{\text{Given mass}}{\text{Molar mass}}`

Given mass of water = 36 g

Molar mass of water = 18 g/mol

Putting values in above equation, we get:

`\text{Moles of water}=(36g)/(18g/mol)=2mol`

Now, to calculate the volume of gas, we use the equation given by ideal gas, which is:

`PV=nRT`

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 =
`8.31\text{ L kPa }mol^(-1)K^(-1)`

T = temperature of the gas = 293 K

Putting values in above equation, we get:

`100kPa* V=2mol* 8.31\text{ L kPa }* 293K\\\\V=48.69L`

Hence, the volume of gas is 48.69L.