The henry's law constant (k) for carbon monoxide in water at 25°c is 3.10× 10-2 mol/(l·atm). how many grams of co will dissolve in 1.00 l of water if the partial pressure of co2is 2.75 atm?

Respuesta :

Answer:

[tex]3.75\text{ g}[/tex]

Explanation:

Here, we want to calculate the mass that would dissolve

Mathematically:

[tex]\begin{gathered} mass\text{ = number of moles }\times\text{ molar mass} \\ \end{gathered}[/tex]

The molar mass of carbon (iv) oxide is 44 g/mol

Thus, we have the number of moles as:

[tex]number\text{ of moles = }\frac{mass}{44}[/tex]

According to Henry's law:

[tex]C\text{ = KP}[/tex]

Where;

C is the concentration of dissolved gas

K is the Henry's constant

P is the pressure

Now, from the question, we have:

k = 3.2 * 10^-2

P = 2.75

C is the number of moles per liter which we will represent by the number of moles

Thus, we have it that:

[tex]\begin{gathered} \frac{mass}{44}\text{ = 3.10 }\times\text{ 10}^{-2}\text{ }\times2.75 \\ \\ mass\text{ = 3.75 g} \end{gathered}[/tex]