Question:

Two glass bulbs $A$ and $B$ are connected by a very small tube having a stop-cock. Bulb $A$ has a volume of $100\, cm^3$ and contained the gas while bulb $B$ was empty. On opening stop-clock, the pressure fell down to $40\%$. The volume of the bulb $B$ must be

Updated On: Jan 30, 2025
  • $75\, cm^3$
  • $125\, cm^3$
  • $150\, cm^3$
  • $250\, cm^3$
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The Correct Option is C

Solution and Explanation

$\therefore 100 � p = V_{2} � \frac{40P}{100}$
$V_{2} = 250\, cc$ (Total volume)
Volume of bulb $B = 250 - 100 = 150\, cc$
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Concepts Used:

Gas Laws

The gas laws were developed at the end of the 18th century, when scientists began to realize that relationships between pressure, volume and temperature of a sample of gas could be obtained which would hold to approximation for all gases.

The five gas laws are:

  • Boyle’s Law, which provides a relationship between the pressure and the volume of a gas.
  • Charles’s Law, which provides a relationship between the volume occupied by a gas and the absolute temperature.
  • Gay-Lussac’s Law, which provides a relationship between the pressure exerted by a gas on the walls of its container and the absolute temperature associated with the gas.
  • Avogadro’s Law, which provides a relationship between the volume occupied by a gas and the amount of gaseous substance.
  • The Combined Gas Law (or the Ideal Gas Law), which can be obtained by combining the four laws listed above.