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A sample of gas at $1.2atm$ and $27^\circ C$ is heated at constant pressure to $57^\circ C$. Its final volume is found to be\[4.75L\]. What was the original volume?
A) $4.32$ liters
B) $5.02$ liters
C) $4.22$ liters
D) None of these.

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Last updated date: 13th Jul 2024
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Answer
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Hint: We need to know that the assertion of Charles' law is as per the following: the volume (V) of a given mass of a gas, at consistent pressing factor (P), is straightforwardly relative to its temperature (T). As a numerical condition, Charles' law is composed as all things considered.
$V \propto T$
Complete step by step answer:
Given data contains,
The Final volume is \[4.75L\]
The Initial temperature is \[27^\circ C\]\[\left( {300K} \right)\]
The Final temperature is \[57^\circ C\]\[\left( {330K} \right)\]
$\dfrac{{{V_1}}}{{{T_1}}} = \dfrac{{{V_2}}}{{{T_2}}}$
Where,
${V_1}$- Initial volume
${V_2}$ -Final volume
${T_1}$-Initial temperature
${T_2}$- Final temperature
Now we can substitute the known values in formula we get,
$ \Rightarrow {V_1} = \dfrac{{4.75 \times 300}}{{330}}$
On simplification we get,
$ \Rightarrow {V_1} = 4.318L$
The initial volume of the solution is $4.318L$.

Thus option A is correct.

Additional information:
Now we can discuss about everyday examples of Charle’s law:
In winters as the temperature diminishes, when you take a b-ball outside in the ground the ball shrivels. This is the lone motivation behind why it is imperative to check the pressing factor in the vehicle tires when you go outside on cool days. This is likewise the situation with any expanded article and clarifies why it's a smart thought to check the pressing factor in your vehicle tires when the temperature drops.
On the off chance that you pack a cylinder that is set on a pool on a sweltering day, it can grow in the sun and burst. Essentially, as the turkey cooks, the gas inside the thermometer extends until it can "pop" the unclogged. Spring up turkey thermometers work dependent on Charles' law. Another regular application can be found in the working of a motor.

Note:
We have to remember that the gas laws were created towards the finish of the eighteenth century by various researchers. The five gas laws are:
Boyle's Law, which gives a connection between the pressing factor and the volume of a gas.
Charles' Law, which gives a connection between the volume involved by a gas and the outright temperature.
Gay-Lussac's Law, which gives a connection between the pressing factor applied by a gas on the dividers of its compartment and the outright temperature related with the gas.
Avogadro's Law, which gives a connection between the volume involved by a gas and the measure of vaporous substance.