Question

Olal mrass 6.168. Uranus has a total atmospheric pressure of 130 kPa and its atmosphere consists of the following gases: 15%
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Answer #1

Answer:-

Given:-

total atmospheric pressure of Uranus (Ptotal) = 130 kPa

percentage of H2 gas in Uranus = 83 %

percentage of He gas in Uranus = 15 %

percentage of CH4 gas in Uranus = 2 %

As we know that

partial pressure of H2 gas in Uranus = total atmospheric pressure of Uranus (Ptotal) \times percentage of H2 gas in Uranus

partial pressure of H2 gas in Uranus = 130 kPa \times 83 %

partial pressure of H2 gas in Uranus = 130 kPa \times 83 / 100

partial pressure of H2 gas in Uranus = 10790 kPa  / 100

partial pressure of H2 gas in Uranus = 107.9 kPa (i.e the answer)

similarly

partial pressure of He gas in Uranus = total atmospheric pressure of Uranus (Ptotal) \times percentage of He gas in Uranus

partial pressure of He gas in Uranus = 130 kPa \times 15 %

partial pressure of He gas in Uranus = 130 kPa \times 15 / 100

partial pressure of He gas in Uranus = 1950 kPa / 100

partial pressure of He gas in Uranus = 19.5  kPa (i.e the answer)

similarly

partial pressure of CH4 gas in Uranus = total atmospheric pressure of Uranus (Ptotal) \times percentage of CH4 gas in Uranus

partial pressure of CH4 gas in Uranus = 130 kPa \times 2 %

partial pressure of CH4 gas in Uranus = 130 kPa \times 2 / 100

partial pressure of CH4 gas in Uranus = 260 kPa / 100

partial pressure of CH4 gas in Uranus = 2.6 kPa (i.e the answer)

So according to Dalton's law of partial pressure ' the total pressure of mixture of gases is equal to the sum of all the partial pressure of gases present in the mixture of gases.

therefore

total atmospheric pressure of Uranus (Ptotal) = partial pressure of H2 gas in Uranus + partial pressure of He gas in Uranus + partial pressure of CH4 gas in Uranus

total atmospheric pressure of Uranus (Ptotal) = 107.9 kPa + 19.5  kPa +  2.6 kPa

total atmospheric pressure of Uranus (Ptotal) = 130 kPa

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