A cylinder has a piston at one end that can be moved in or out to change the vol

Question

A cylinder has a piston at one end that can be moved in or out to change the volume of gas inside. The other end is fitted with a valve. Initially the cylinder contains 2.45 mol of an ideal gas. The piston is now pushed in to decrease the volume of gas to one-third its initial value without causing any change in temperature. In order to keep the pressure constant as well, how many moles of gas need to be released through the valve? Incorrect: Your answer is incorrect. Apply the ideal gas law to the final and initial situations. What is the ratio of the initial and final volumes?

_____________________moles

Explanation / Answer

Here ,

initial moles , ni = 2.45

final moles, nf = ?

vi = V

vf = V/3

Now, for same temperature and pressure , using ideal gas law

ni/vi = nf/vf

V/2.45 = V /3nf

nf = 0.817 moles

the final number of moles is 0.817

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