Respuesta :
Answer: The number of molecules of carbon dioxide gas are [tex]2.815\times 10^{21}[/tex]
Explanation:
To calculate the molar solubility, we use the equation given by Henry's law, which is:
[tex]C_{CO_2}=K_H\times p_{CO_2}[/tex]
where,
[tex]K_H[/tex] = Henry's constant = [tex]0.034mol/L.atm[/tex]
[tex]C_{CO_2}[/tex] = molar solubility of carbon dioxide gas
[tex]p_{CO_2}[/tex] = pressure of carbon dioxide gas = 0.250 atm
Putting values in above equation, we get:
[tex]C_{CO_2}=0.034mol/L.atm\times 0.250atm\\\\C_{CO_2}=8.5\times 10^{-3}M[/tex]
To calculate the number of moles for given molarity, we use the equation:
[tex]\text{Molarity of the solution}=\frac{\text{Moles of solute}}{\text{Volume of solution (in L)}}[/tex]
Molarity of carbon dioxide = [tex]8.5\times 10^{-5}M[/tex]
Volume of solution = 0.550 L
Putting values in above equation, we get:
[tex]8.5\times 10^{-3}M=\frac{\text{Moles of }CO_2}{0.550L}\\\\\text{Moles of }CO_2=(8.5\times 10^{-3}mol/L\times 0.550L)=4.675\times 10^{-3}mol[/tex]
According to mole concept:
1 mole of a compound contains [tex]6.022\times 10^{23}[/tex] number of molecules
So, [tex]4.675\times 10^{-3}[/tex] moles of carbon dioxide will contain = [tex](6.022\times 10^{23}\times 4.675\times 10^{-3})=2.815\times 10^{21}[/tex] number of molecules
Hence, the number of molecules of carbon dioxide gas are [tex]2.815\times 10^{21}[/tex]
Answer:
2.8 *10^21 molecules CO2 are dissolved in the 0.550 L water
Explanation:
Step 1: Data given
Volume of water = 0.550 L
Temperature = 25.0 °C
Pressure of CO2 = 0.250 atm
The Henry’s constant for CO2 and water at 25 °C = 0.034 M/atm
Step 2: Henry's law
C(CO2) = Kh * p(CO2)
⇒ with C(CO2) = the molar solubility of CO2
⇒ with Kh = Henry's constant = 0.034 M/atm = 0.034 mol/(L * atm)
⇒ with p(CO2) = the pressure of CO2 = 0.250 atm
C(CO2) = 0.034 mol/(L*atm) * 0.250 atm
C(CO2) = 0.0085 mol /L
Step 3: Calculate moles CO2
Moles CO2 = volume * molar solubility CO2
Moles CO2 = 0.550 L * 0.0085 mol/L
Moles CO2 = 0.004675 moles
Step 4: Calculate molecules of CO2
Molecules CO2 = moles * Number of Avogadro
Molecules CO2 = 0.004675 * 6.022 *10^23 / mol
Molecules CO2 = 2.8 *10^21 molecules
2.8 *10^21 molecules CO2 are dissolved in the 0.550 L water
