Question

A tank contains an ideal gas mixture of 5 g of O2 and 8 g of CO2 at 160kPa and specified temperature. If O2 were separated from the mixture and stored at mixture temperature and in the same tank, its pressure would be, in kPa (round to nearest integer; for example if the answer is 14.6kPa, write 15; if the answer is 14.49L write 14; do not include the units in your answer

Answer 1

74 or 74 kPa.

Step-by-step explanation:

Hello,

In this case, based on the initial information, it is seen that the oxygen and the carbon dioxide form the mixture at 160 kPa, thus, by isolating the oxygen, its pressure will be equal to its initial partial pressure because it gets isolated, hence, we compute its molar fraction as:

`x_(O_2)=(5gO_2*(1molO_2)/(32gO_2) )/(5gO_2*(1molO_2)/(32gO_2) +8gCO_2*(1molCO_2)/(44gCO_2) ) =0.46`

Therefore, its initial pressure turns out:

`p_(O_2)=160kPa*0.46=73.9kPa`

Such pressure will be the oxygen's pressure once it is isolated. Finally, considering the request, the answer will be just 74 (by rounding to the nearest integer and without units).

Best regards.