Question
Give the mathematical expression for Gay$-$Lussac’s law.
✓
Answer
Gay$-$Lussac's law $($Pressure$-$Temperature relationship$):$
$i.$ Statement: At constant volume, pressure $( P )$ of a fixed amount of a gas is directly proportional to its absolute temperature $(T)$.
$ii.$ Explanation:
Gay$-$Lussac's law can be mathematically expressed as:
$ P \propto T$
$\therefore P = k _3 T$
$\therefore \frac{ P }{ T }=\text { Constant (at constant } V \text { and } \text{ n) }$
Thus, according to Gay$-$Lussac's law,
$\frac{ P _1}{ T _1}=\frac{ P _2}{ T _2}=\text { constant }$
$i.$ Statement: At constant volume, pressure $( P )$ of a fixed amount of a gas is directly proportional to its absolute temperature $(T)$.
$ii.$ Explanation:
Gay$-$Lussac's law can be mathematically expressed as:
$ P \propto T$
$\therefore P = k _3 T$
$\therefore \frac{ P }{ T }=\text { Constant (at constant } V \text { and } \text{ n) }$
Thus, according to Gay$-$Lussac's law,
$\frac{ P _1}{ T _1}=\frac{ P _2}{ T _2}=\text { constant }$
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