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TS EAMCET · Physics · Kinetic Theory of Gases

A vessel of volume \(V\) contains ideal gas having mass density \(\rho\) at temperature \(T\) and pressure \(p\). After a portion of the gas is let out, the pressure in the vessel is decreased by \(\Delta p\). The mass of the released gas is

  1. A \(\rho V \Delta p / p\)
  2. B \(\frac{\Delta p}{p}\)
  3. C \(\frac{\rho}{p}\)
  4. D \((\rho V)^2 \Delta p / p\)
Verified Solution

Answer & Solution

Correct Answer

(A) \(\rho V \Delta p / p\)

Step-by-step Solution

Detailed explanation

Given, initial value of volume, pressure and temperature of an ideal gas in vessel, \[ V_1=V, p_1=p \text { and } T_1=T \] and density of gas \(=\rho\) When, \(\Delta V\) volume of gas is let out, hence pressure of gas is decreased to \(\Delta p\). Then,…
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