TS EAMCET · Chemistry · States of Matter
\(4 \mathrm{~g}\) of an ideal gas \(\mathrm{A}\) (molar mass \(=\mathrm{M}_{\mathrm{A}}\) ) present in a vessel of a volume \(\mathrm{V}\) litre exerted a pressure of \(5 \mathrm{~atm}\) at \(300 \mathrm{~K}\). When \(16 \mathrm{~g}\) of another ideal gas B (molar mass = MB) was introduced into this vessel at the same temperature, its increased to \(10 \mathrm{~atm}\). What is the correct relationship between \(\mathrm{M}_{\mathrm{A}}\) and \(\mathrm{M}_{\mathrm{B}}\) ?
- A \(\mathrm{M}_{\mathrm{A}}=4 \mathrm{MB}\)
- B \(\mathrm{MA}=\mathrm{MB}\)
- C \(\mathrm{MA}=2 \mathrm{M}_{\mathrm{B}}\)
- D \(4 \mathrm{M}_{\mathrm{A}}=\mathrm{M}_{\mathrm{B}}\)
Answer & Solution
Correct Answer
(D) \(4 \mathrm{M}_{\mathrm{A}}=\mathrm{M}_{\mathrm{B}}\)
Step-by-step Solution
Detailed explanation
\(\mathrm{PV}=\mathrm{n} \mathrm{R}\) T (ideal gas equation) \[ \mathrm{PV}=\frac{\mathrm{wRT}}{\mathrm{M}} \] \(\therefore \mathrm{M} \alpha \mathrm{w}\) and \(\mathrm{M} \alpha \frac{1}{\mathrm{PV}}\)…
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