Of two samples of nitrogen gas, sample A contains 1.5 moles of nitrogen in a vessel of volume of 37.6 dm$^3$ at 298 K, and the sample B is in a vessel of volume 16.5 dm$^3$ at 298 K. Calculate the number of moles in sample B.

Of two samples of nitrogen gas, sample A contains 1.5 moles of nitrogen in a vessel of volume of 37.6 dm³ at 2

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Step 1. Both samples are at the same temperature (298 K); taking them to also be at the same pressure (as the problem gives no other information to go on), Avogadro's law applies: $\dfrac{V_A}{n_A}=\dfrac{V_B}{n_B}$ .

Step 2. Rearranging, $n_B=n_A\times\dfrac{V_B}{V_A}$ . …

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Q.Of two samples of nitrogen gas, sample A contains 1.5 moles of nitrogen in a vessel of volume of 37.6 dm $^3$ at 298 K, and the sample B is in a vessel of volume 16.5 dm $^3$ at 298 K. Calculate the number of moles in sample B.

Concept understanding — Avogadro's Hypothesis

Q.Of two samples of nitrogen gas, sample A contains 1.5 moles of nitrogen in a vessel of volume of 37.6 dm3^33 at 298 K, and the sample B is in a vessel of volume 16.5 dm3^33 at 298 K. Calculate the number of moles in sample B.

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Q.Of two samples of nitrogen gas, sample A contains 1.5 moles of nitrogen in a vessel of volume of 37.6 dm $^3$ at 298 K, and the sample B is in a vessel of volume 16.5 dm $^3$ at 298 K. Calculate the number of moles in sample B.

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