Question

The pressure on a 200 milliliter sample of CO2 (g) at constant temperature is increased from

Answer 1

The answer for the following problem is mentioned below.

• Therefore the final volume of the gas is 100 ml.

Explanation:

 Given:

Initial pressure ($P_{1}$) = 600 mm of Hg

Final pressure ($P_{2}$) = 1200 mm of Hg

Initial volume ($V_{1}$) = 200 ml      

To find:

Final volume ($V_{2}$)

We know;

According to the ideal gas equation,

    P × V = n × R × T

Where;

P represents the pressure of the gas

V represents the volume of the gas

n represents the no of moles of the gas

R represents the universal gas constant

T represents the temperature of the gas

So,

 From the above mentioned equation,

        P × V = constant

$\frac{P_{1} }{P_{2} }$ = $\frac{V_{1} }{V_{2} }$

Where,

($P_{1}$) represents the initial pressure of the gas

($P_{2}$) represents the final pressure of the gas

($V_{1}$)  represents the initial volume of the gas

($V_{2}$)  represents the final volume of the gas

So;

$\frac{600}{1200}$ = $\frac{V_{2} }{200}$    

$V_{2}$ = 100 ml

Therefore the final volume of the gas is 100 ml.