Question

Synthesis gas consists of a mixture of H2 and CO. Calculate at 101kpa is compressed at constant temperature from 7.20 dm3 to 4.21 dm3. calculate the final pressure of the gas

Answer 1

Step-by-step explanation:

According to Boyle's law, volume of a gas is inversely proportional to its pressure at a constant temperature.

Mathematically,
`P \propto (1)/(V)`; at constant T

It is given that,

`P_(1)` = 101 kPa,
`P_(2)` = ?

`V_(1) = 7.20 dm^(3)`,
`V_(2) = 4.21 dm^(3)`

We will calculate the final pressure as follows.

`P_(1)V_(1) = P_(2)V_(2)`

`101 kPa * 7.20 dm^(3) = P_(2) * 4.21 dm^(3)`

`P_(2) = (101 kPA * 7.20 dm^(3))/(4.21 dm^(3))`

= 172.73 kPa

Thus, we can conclude that the final pressure of the gas is 172.73 kPa.

Answer 2

The final pressure is 173 kPa.

Step-by-step explanation:

A mixture of gases at an initial pressure of P₁ = 101 kPa is compressed from an initial volume V₁ = 7.20 dm³ to a final volume V₂ = 4.21 dm³. If we suppose an ideal gas behavior and that temperature remains constant, we can apply Boyle's law to find out the final pressure P₂:

P₁ . V₁ = P₂ . V₂

`P_(2)=(P_(1).V_(1))/(V_(2))=(101kPa.7.20dm^(3) )/(4.21dm^(3) )  =173kPa`