Amixture of helium and methane gases, at a total pressure of 821 mm hg, contains 0.723 grams of helium and 3.43 grams of methane. what is the partial pressure of each gas in the mixture?

phe = mm hg
pch4 = mm hg

2.) a mixture of nitrogen and carbon dioxide gases contains nitrogen at a partial pressure of 363 mm hg and carbon dioxide at a partial pressure of 564 mm hg. what is the mole fraction of each gas in the mixture?

xn2 =
xco2 =

For 1: The partial pressure of helium is 376 mmHg and that of methane gas is 445 mmHg

For 2: The mole fraction of nitrogen gas is 0.392 and that of carbon dioxide gas is 0.608

Explanation:

For 1:

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

    .....(1)

Given mass of helium = 0.723 g

Molar mass of helium = 4 g/mol

Putting values in equation 1, we get:

Given mass of methane gas = 3.43 g

Molar mass of methane gas = 16 g/mol

Putting values in equation 1, we get:

To calculate the mole fraction , we use the equation:

    .......(2)

To calculate the partial pressure of gas, we use the equation given by Raoult's law, which is:

      ......(3)

We are given:

Putting values in equation 2, we get:

Calculating the partial pressure by using equation 3, we get:

Putting values in equation 3, we get:

We are given:

Putting values in equation 2, we get:

Calculating the partial pressure by using equation 3, we get:

Putting values in equation 3, we get:

Hence, the partial pressure of helium is 376 mmHg and that of methane gas is 445 mmHg

We are given:

Partial pressure of nitrogen gas = 363 mmHg

Partial pressure of carbon dioxide gas = 564 mmHg

Total pressure = (363 + 564) mmHg = 927 mmHg

Calculating the mole fraction of the gases by using equation 3:

For nitrogen gas:

For carbon dioxide gas:

Hence, the mole fraction of nitrogen gas is 0.392 and that of carbon dioxide gas is 0.608

no, the red giant is the hottest with 2.00.000.000 degrees celsius. while the white dwarf only 25,000 degrees celsius.

the cold front replaces the warmer air at the ground level changing the wind to be breezy and denser.there is also an immediate drop in the temperature.