Question:
Identify the pair of gases which have same number of molecules at S.T.P.?
Identify the pair of gases which have same number of molecules at S.T.P.?
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To compare number of molecules, compare number of moles using \(n=\frac{w}{M}\).
Updated On: May 7, 2026
- \(11\ \text{g of }CO_2\) and \(14\ \text{g of }N_2\)
- \(16\ \text{g of }O_3\) and \(16\ \text{g of }CH_4\)
- \(5\ \text{g of }H_2\) and \(40\ \text{g of }CH_4\)
- \(28\ \text{g of }N_2\) and \(22\ \text{g of }CO_2\)
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The Correct Option is C
Solution and Explanation
Concept:
Same number of molecules means same number of moles because:
\[
\text{Number of molecules}=nN_A
\]
Step 1: Calculate moles of \(H_2\). \[ \text{Molar mass of }H_2=2 \] \[ \text{Moles of }H_2=\frac{5}{2}=2.5 \]
Step 2: Calculate moles of \(CH_4\). \[ \text{Molar mass of }CH_4=16 \] \[ \text{Moles of }CH_4=\frac{40}{16}=2.5 \]
Step 3: Since both have: \[ 2.5\ \text{moles} \] they have the same number of molecules. Therefore, \[ \boxed{5\ \text{g of }H_2\text{ and }40\ \text{g of }CH_4} \]
Step 1: Calculate moles of \(H_2\). \[ \text{Molar mass of }H_2=2 \] \[ \text{Moles of }H_2=\frac{5}{2}=2.5 \]
Step 2: Calculate moles of \(CH_4\). \[ \text{Molar mass of }CH_4=16 \] \[ \text{Moles of }CH_4=\frac{40}{16}=2.5 \]
Step 3: Since both have: \[ 2.5\ \text{moles} \] they have the same number of molecules. Therefore, \[ \boxed{5\ \text{g of }H_2\text{ and }40\ \text{g of }CH_4} \]
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