Question

9. A gas is allowed to expand at a constant temperature from
an initial volume of 300 ml to a final volume of 1800 ml.
At the end of the expansion the pressure of the gas was
found to be 1 atm. What was the initial pressure of the
gas?
​

Answer 1

Answer:

Initial pressure of a gas,P1=6 atm.

Given:

Initial volume of a gas V1=300ml

Final volume of a gas,V2=1800ml

Final pressure of a gas,P2=1 atm

To find:

Initial pressure of a gas,P1=?

Solution:

As we know that,

From the ideal gas equation,

PV=nRT

From this,

P is inversely proportional to the volume at constant temperature.

Now,

P1V1=P2V2

P1×300ml=1×1800ml

P1=1800/300

P1=6 atm

Hence, The initial pressure of a gas is 6atm.

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