Question:
Two litres of gas are maintained at 25$^\circ$C and two atmospheric pressure. If the pressure is doubled and absolute temperature is halved, the gas willnow occupy
Two litres of gas are maintained at 25$^\circ$C and two atmospheric pressure. If the pressure is doubled and absolute temperature is halved, the gas willnow occupy
Updated On: Jul 7, 2022
- 2 .0 litres
- 4.0 litres
- 0.5 litres
- 10 litres
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The Correct Option is C
Solution and Explanation
$\frac{P_1V_1}{T_1} = \frac{P_2V_2}{T_2}$
$\frac{2 \times 2}{(273 + 5)} = \frac{4 \times V_2}{(273 + 5)/2}$
$V_2 $ = 0.5 litre
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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.