1. Tardigrade
  2. Question
  3. Chemistry
  4. Calculate the number of hours of service that can be derived at 1 atm and 300 K from an acetylene lamp containing 640 g calcium carbide. Given that the lamp requires 50 L acetylene gas at 1 atm and 300 K for one hour. [Take 0.0821 × 300=25 ]

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Q. Calculate the number of hours of service that can be derived at 1 atm and $300 \,K$ from an acetylene lamp containing $640 \,g$ calcium carbide. Given that the lamp requires $50\, L$ acetylene gas at $1 \,atm$ and $300\, K$ for one hour. [Take $0.0821 \times 300=25$ ]

States of Matter

Solution:

$CaC _{2}+2 H _{2} O \rightarrow Ca ( OH )_{2}+ C _{2} H _{2}$

$640 / 64=10 \,mol$

$V=\frac{n R T}{P}=\frac{10 \times 0.0821 \times 300}{1}=250 \,L $

$\therefore T=\frac{250 \,L }{50\, L / hr }=5\, hr$