AP EAMCET · Chemistry · Some Basic Concepts of Chemistry
A \(100 \mathrm{~L}\) cylinder containing \(\mathrm{H}_2\) exerted a pressure of \(4 \mathrm{~atm}\) at \(300 \mathrm{~K}\). It was accidentally opened and some \(\mathrm{H}_2\) was escaped. When it was closed, it exerted a pressure of \(3 \mathrm{~atm}\) at \(300 \mathrm{~K}\). The number of moles of \(\mathrm{H}_2\) remaining in the cylinder is equal to
(Assume \(\mathrm{H}_2\) as an ideal gas; \(\mathrm{R}=\) gas constant)
- A \(\frac{1}{2 \mathrm{R}}\)
- B \(\mathrm{R}\)
- C \(\frac{1}{\mathrm{R}}\)
- D \(2 \mathrm{R}\)
Answer & Solution
Correct Answer
(C) \(\frac{1}{\mathrm{R}}\)
Step-by-step Solution
Detailed explanation
\(\mathrm{n}_1=\frac{\mathrm{P}_1 \mathrm{~V}}{\mathrm{RT}}=\frac{4 \mathrm{~V}}{\mathrm{RT}}\) and \(\mathrm{n}_2=\frac{\mathrm{P}_2 \mathrm{~V}}{\mathrm{RT}}=\frac{3 \mathrm{~V}}{\mathrm{RT}}\) \(\Rightarrow\) Number of moles remaining \(=\)…
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