The ideal gas relates to the pressure, temperature, pressure, and mole of the gas. The volume of the sample at 423 K and 1 atm is 81.64L.
Charles law gave the relation between the temperature and the volume of gas. According to him, the volume of the gas is directly proportional to the temperature of the gas.
Given,
Initial volume = 75.9 L
Initial temperature = 300 K
Final volume = ?
Final temperature = 423 K
The relation between the temperature and the volume of the two gases is shown as:
[tex]\rm \dfrac{V_{1}}{T_{1}} = \rm \dfrac{V_{2}}{T_{2}}[/tex]
Substituting values in the above equation:
[tex]\begin{aligned}\rm V_{2}& = \rm \dfrac{T_{2}V_{1}}{T_{1}}\\\\&= \dfrac{57.9\times 423}{300}\\\\&= 81.64 \;\rm L \end{aligned}[/tex]
Therefore, 81.64 L is the final volume at 423 K.
Learn more about Charles law here:
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