TS EAMCET · Physics · Thermodynamics
A vessel of volume \(V\) contains a mixture of ideal gases at temperature \(T\). The gas mixture contains \(n_1, n_2\) and \(n_3\) moles of three gases. Assuming ideal gas system, the pressure of the mixture is
- A \(\frac{\left(n_1+n_2+n_3\right) R T}{V}\)
- B \(\frac{\left(n_1 n_2 n_3\right) R T}{V}\)
- C \(\frac{R T}{\left(n_1+n_2+n_3\right) V}\)
- D \(\frac{R T}{V\left(n_1 n_2 n_3\right)}\)
Answer & Solution
Correct Answer
(A) \(\frac{\left(n_1+n_2+n_3\right) R T}{V}\)
Step-by-step Solution
Detailed explanation
By Dalton's law of partial pressure, pressure of mixture of three gases, \[ p=p_1+p_2+p_3 \] According to the ideal gas equation, \[ \begin{gathered} p V=n R T \\ p=\frac{n R T}{V} \end{gathered} \] Temperature \(T\) and volume \(V\) are same for all three gases, but number of…
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