Question

The total pressure of a mixture of hydrogen, oxygen, and methane is 96.4 kPa. The partial pressures of hydrogen and oxygen are 13.5 kPa and 29.3 kPa respectively. What is the partial pressure of methane?

A. 82.9 kPa.
B. 42.8 kPa.
C.139.2 kPa.
D. 53.6 kPa.

Answer 1

D. P = 53.6 KPa

Step-by-step explanation:

Dalton's law:

• P mix = PH2 + PO2 + PCH4

∴ P mix = 96.4 KPa

∴ PH2 = 13.5 KPa

∴ PO2 = 29.3 KPa

⇒ PCH4 = P mix - PH2 - PO2

⇒ P CH4 = 96.4 KPa - 13.5 KPa - 29.3 KPa

⇒ P CH4 = 53.6 KPa

Answer 2

Answer : The partial pressure of methane is, 53.6 kPa

Explanation :

According to the Dalton's law, the total pressure of the gas is equal to the sum of the partial pressure of the mixture of gasses.

`P_T=p_(H_2)+p_(O_2)+p_(CH_4)`

where,

`P_T` = total pressure = 96.4 kPa

`p_(H_2)` = partial pressure of
`H_2` = 13.5 kPa

`p_(O_2)` = partial pressure of
`O_2` = 29.3 kPa

`p_(CH_4)` = partial pressure of
`CH_4` = ?

Now put all the given values is expression, we get the partial pressure of the
`CH_4` gas.

`P_T=p_(H_2)+p_(O_2)+p_(CH_4)`

`96.4=13.5+29.3+p_(CH_4)`

`p_(CH_4)=53.6kPa`

Therefore, the partial pressure of methane is, 53.6 kPa