A volume of gas starts at a pressure of 10 atmospheres (atm) and a temperature of 27°C. If the temperature is increased by

1 thought on “<br /> A volume of gas starts at a pressure of 10 atmospheres (atm) and a temperature of 27°C. If the temperature is increased by”

1. Given that,

   Initial pressure = 10 atm

   Initial temperature = 27 °C

   Final temperature = 75 °C

   We have to find final pressure of the gas[tex].[/tex]

   ❖ As per Gay Lussac’s law at constant volume, pressure of an ideal gas is directly proportional to the temperature.

   Mathematically, P ∝ T

   First of all we have to convert the temperature into kelvin.

   ⟩ Initial temperature = 27 °C = 300 K

   ⟩ Final temperature = 75 °C = 348 K

   By substituting the given values;

   [tex]\sf:\implies\:\dfrac{P_1}{P_2}=\dfrac{T_1}{T_2}[/tex]

   [tex]\sf:\implies\:\dfrac{10}{P_2}=\dfrac{300}{348}[/tex]

   [tex]\sf:\implies\:P_2=\dfrac{10\times 348}{300}[/tex]

   [tex]\sf:\implies\:P_2=\dfrac{348}{30}[/tex]

   [tex]:\implies\:\underline{\boxed{\bf{\gray{P_2=11.6\:atm}}}}[/tex]

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