Question

The pressure on a 200 milliliter sample of CO2 (g) at constant temperature is increased from
600 mmHg to 1200 mmHg. What is the new volume?
(1 Point)
100 mL
300 mL
400 ml
600 mL

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.