1. Tardigrade
  2. Question
  3. Chemistry
  4. The cylinder contains 100 gm of an ideal gas (m o l . w t . = 40 g m / m o l) at 27° C and 2 atm . pressure. In transportation the cylinder fell and a dent was created. The valve present cannot keep the pressure greater than 2 atm . Hence 10 gm of a gas got leaked out. The volume of the container before and after dent is-

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Q. The cylinder contains $100 \, gm$ of an ideal gas $\left(m o l . \, w t . = 40 \, g m / m o l\right)$ at $27^\circ C$ and $2 \, atm$ . pressure. In transportation the cylinder fell and a dent was created. The valve present cannot keep the pressure greater than $2 \, atm$ . Hence $10 \, gm$ of a gas got leaked out. The volume of the container before and after dent is-

NTA AbhyasNTA Abhyas 2020States of Matter

Solution:

Before dent $vol. \, of \, gas=\frac{n R T}{P}$

$=\frac{100}{40} \, \times \, \frac{0.082 \times 300}{2}=30.75 \, L$

After dent $vol. \, of \, gas=\frac{n R T}{P}$

$=\frac{90}{40} \, \times \, \frac{0.082 \times 300}{2}=27.675 \, L$