Question

an ideal gas is enclosed in a container of volume V at pressure P.it is being pump out of the container by using a pump with stroke volume V.what is the final pressure in container after n

Answer 1

Answer on Question #48118, Physics, Molecular Physics | Thermodynamics

An ideal gas is enclosed in a container of volume $V$ at pressure $P$. It is being pumped out of the container by using a pump with stroke volume $V_1$. What is the final pressure in container after n stroke of the pump?

Solution:

Before doing n strokes, the parameters of the system were P, V.

After doing n strokes, parameters became $V - nV_1$, $P_1$, where $P_1$ is unknown.

An ideal gas can be characterized by three state variables: absolute pressure (P), volume (V), and absolute temperature (T). The relationship between them may be deduced from kinetic theory and is called the ideal gas law:

$$PV = vRT$$

Since the temperature is constant, PV=const.

Thus,

$$PV = P_1(V - nV_1)$$ $$P_1 = \frac{PV}{V - nV_1}$$

this is the final pressure after n-stroke.

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