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Inga [223]
3 years ago
11

A mixture of He

Chemistry
1 answer:
aksik [14]3 years ago
3 0

Answer : The partial pressure of nitrogen gas in the mixture is, 9.88 atm

Explanation :

According to the Dalton's Law, the total pressure of the gas is equal to the sum of the partial pressure of individual gases.

Formula used :

p_T=p_{He}+p_{Ar}+p_{N_2}

where,

p_T = total pressure of gas  = 13.6 atm

p_{He} = partial pressure of helium gas  = 1831 torr =  2.41 atm

p_{Ar} = partial pressure of argon gas  = 997 torr =  1.31 atm

Conversion used: (1 atm = 760 torr)

p_{N_2} = partial pressure of nitrogen gas  = ?

Now put all the given values in the above formula, we get:

13.6=2.41+1.31+p_{N_2}

p_{N_2}=9.88atm

Thus, the partial pressure of nitrogen gas in the mixture is, 9.88 atm

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<u>Answer:</u> The mass percent of nitrogen gas and hydrogen gas is 91.41 % and 8.59 % respectively.

<u>Explanation:</u>

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

PV = nRT

where,

P = Pressure of the gaseous mixture = 1.00 atm

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We are given:

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Let the mass of nitrogen gas be 'x' grams and that of hydrogen gas be '(13.22 - x)' grams

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

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

<u>For nitrogen gas:</u>

Molar mass of nitrogen gas = 28 g/mol

\text{Moles of nitrogen gas}=\frac{x}{28}mol

<u>For hydrogen gas:</u>

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To calculate the mass percentage of substance in mixture we use the equation:

\text{Mass percent of substance}=\frac{\text{Mass of substance}}{\text{Mass of mixture}}\times 100

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Mass of nitrogen gas = x = 12.084 g

Putting values in above equation, we get:

\text{Mass percent of nitrogen gas}=\frac{12.084g}{13.22g}\times 100=91.41\%

  • <u>For hydrogen gas:</u>

Mass of hydrogen gas = (13.22 - x) = (13.22 - 12.084) g = 1.136 g

Putting values in above equation, we get:

\text{Mass percent of hydrogen gas}=\frac{1.136g}{13.22g}\times 100=8.59\%

Hence, the mass percent of nitrogen gas and hydrogen gas is 91.41 % and 8.59 % respectively.

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