An ideal gas is enclosed in a container of volume V at a pressure P . It is being pumped out of the container by using a pump with stroke volume v. What is final pressure in container after n-stroke of the pump? (assume temperature remains same)

Question

An ideal gas is enclosed in a container of volume V at a pressure P . It is being pumped out of the container by using a pump with stroke volume v. What is final pressure in container after n-stroke of the pump? (assume temperature remains same) (A) P((V/V+v))n (B) (P V/(V-v)n) (C) P (Vn/vn) (D) P((V/V-v))n

Tardigrade Admin · Accepted Answer

<img class="img-fluid question-image" alt="image" src="https://cdn.tardigrade.in/img/question/physics/8192f3d5eb91364eb14aa1eb533c0ae4-.png" /> After stroke P V= constant P V=P1(V+v) P1=(P V/(V+v)) Similarly after 2 text nd stroke P2=P((V/V+v))2 After n text th stroke Pn=P((V/V+v))n

Q. An ideal gas is enclosed in a container of volume $V$ at a pressure $P .$ It is being pumped out of the container by using a pump with stroke volume $v$ . What is final pressure in container after $n$ -stroke of the pump? (assume temperature remains same)

$P (\frac{V}{V + v})^{n}$

$\frac{P V}{( V - v ) ^{n}}$

$P \frac{V ^{n}}{v ^{n}}$

$P (\frac{V}{V - v})^{n}$

After stroke $P V =$ constant
$P V = P_{1} (V + v)$
$P_{1} = \frac{P V}{( V + v )}$
Similarly after $^{2^{nd}}$ stroke
$P_{2} = P (\frac{V}{V + v})^{2}$
After $n^{th}$ stroke
$P_{n} = P (\frac{V}{V + v})^{n}$

Q. An ideal gas is enclosed in a container of volume V at a pressure P. It is being pumped out of the container by using a pump with stroke volume v. What is final pressure in container after n-stroke of the pump? (assume temperature remains same)

P(V+vV​)n

(V−v)nPV​

PvnVn​

P(V−vV​)n