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

Answer:

The final pressure is 173 kPa.

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

$P_{2}=\frac{P_{1}.V_{1}}{V_{2}}=\frac{101kPa.7.20dm^{3} }{4.21dm^{3} }  =173kPa$

Answer 2

Explanation:

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

Mathematically,    $P \propto \frac{1}{V}$;    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.

           $P_{1}V_{1} = P_{2}V_{2}$

    $101 kPa \times 7.20 dm^{3} = P_{2} \times 4.21 dm^{3}$

       $P_{2} = \frac{101 kPA \times 7.20 dm^{3}}{4.21 dm^{3}}$

                  = 172.73 kPa

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