In a toy truck the volume of tube is $$2000$$ cc in which air is filed at a pressure $$2$$×$$105$$ $$N/m2$$. When the tube gets punctured, its volume reduces to $$500$$ cc. Find the number of moles of air leaked out in the puncture. Take atmospheric pressure is $$105$$ $$N/m2$$ and atmospheric temperature $$27$$°C.

Question

In a toy truck the volume of tube is $$2000$$ cc in which air is filed at a pressure $$2$$×$$105$$ $$N/m2$$. When the tube gets punctured, its volume reduces to $$500$$ cc. Find the number of moles of air leaked out in the puncture. Take atmospheric pressure is $$105$$ $$N/m2$$ and atmospheric temperature $$27$$°C.

Infinity Learn · Accepted Answer

Initial moles of air tube $$arexi=PiViRTi=2$$×$$105$$×$$2000$$×$$10-68.314$$×$$300=0.16final$$ moles  of air  in tube after  puncture $$arenf=PfVfRTf=105$$×$$500$$×$$10-68.314$$×$$300=0.02moles$$ leaked out from tube Δ$$n=ni$$−$$nf=0.16$$−$$0.02=0.14$$ mol

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In a toy truck the volume of tube is 2000 cc in which air is filed at a pressure 2×105 N/m2. When the tube gets punctured, its volume reduces to 500 cc. Find the number of moles of air leaked out in the puncture. Take atmospheric pressure is 105 N/m2 and atmospheric temperature 27°C.

Initial moles of air tube arexi=PiViRTi=2×105×2000×10-68.314×300=0.16final moles of air in tube after puncture arenf=PfVfRTf=105×500×10-68.314×300=0.02moles leaked out from tube Δn=ni−nf=0.16−0.02=0.14 mol

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