Question

300 ml of gas at 27 0 C is cooled to -3 0 C at constant pressure, the final volume is a) 540 ml b) 135 ml c) 270 ml d) 350 ml

Answer 1

$\sf\small\underline\red{Given:-}$

➳ Initial volume of gas = 300ml

➳ Initial temperature = 27°C

➳ Final temperature = -3°C

$\sf\small\underline\red{To \: Find:-}$

⟶ Final volume of gas.

$\sf\small\underline\red{SoluTion:-}$

⇒ This question is completely based on the concept of charles' law.

⇒ As per this law, Pressure remaining constant, the volume of a fixed mass of a gas is directly proportional to its absolute temperature.

Mathematically,

$\bf{V\propto T}V∝T$

✴ Conversion :

➻ 0°C = 273K

➻ 27°C = 27 + 273 = 300K

➻ -3°C = -3 + 273 = 270K

$\leadsto\sf\:\dfrac{V}{V'}=\dfrac{T}{T'}$

$\leadsto\sf\:\dfrac{300}{V'}=\dfrac{300}{270}$

$\leadsto\sf\:V'=\dfrac{300\times 270}{300}$

$\leadsto\boxed{\sf \red{V'=270 \: ml}}$