MHT CET · Chemistry · Some Basic Concepts of Chemistry
Which gas among the following contains maximum number of molecules at STP? (Molar masses in
\(\mathrm{g} \mathrm{mol}^{-1} \mathrm{CO}_{2}=44, \mathrm{Ar}=39 \cdot 9, \mathrm{CH}_{4}=16,\) \(\mathrm{O}_{2}=32\))
- A \(24 \cdot 0 \mathrm{~g}\) of \(\mathrm{O}_{2}\)
- B \(16 \cdot 0 \mathrm{~g}\) of \(\mathrm{CH}_{4}\)
- C \(13 \cdot 3 \mathrm{~g}\) of \(\mathrm{Ar}\)
- D \(11 \mathrm{~g}\) of \(\mathrm{CO}_{2}\)
Answer & Solution
Correct Answer
(B) \(16 \cdot 0 \mathrm{~g}\) of \(\mathrm{CH}_{4}\)
Step-by-step Solution
Detailed explanation
i. \(\mathrm{n}_{\mathrm{Ar}}=\frac{13.3}{39.9}=0.33 \mathrm{~mol}\)
ii. \(\mathrm{n}_{\mathrm{O}_{2}}=\frac{24}{32}=0.75 \mathrm{~mol}\)
iii. \(\mathrm{n}_{\mathrm{CO}_{2}}=\frac{11}{44}=0.25 \mathrm{~mol}\)
iv. \(n_{\mathrm{CH}}=\frac{16}{16}=1 \mathrm{~mol}\)
\(\therefore\) Maximum no. of moles \(=\) Maximum no. of molecules.
ii. \(\mathrm{n}_{\mathrm{O}_{2}}=\frac{24}{32}=0.75 \mathrm{~mol}\)
iii. \(\mathrm{n}_{\mathrm{CO}_{2}}=\frac{11}{44}=0.25 \mathrm{~mol}\)
iv. \(n_{\mathrm{CH}}=\frac{16}{16}=1 \mathrm{~mol}\)
\(\therefore\) Maximum no. of moles \(=\) Maximum no. of molecules.
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