The initial volume of the gas is 39 L, option C is the correct answer
According to combined gas law,
PV= nRT
In the Combined Gas Law, if we change either one of the variables the others will also change.
Here , Pressure (P), volume (V), number of mole of gas (n), and temperature (T).
When the moles of the gas is constant , the above equation can be written as ,
[tex]\rm\dfrac{P'V'}{T'} = \dfrac{PV}{T}[/tex]
The data given in the question is
P = 1.5 atm
V= ? ml
T=325 K
V'= 48 L
P'= 1.2 atm
T' =320 K
Substituting the values in the above formula
[tex]\rm\dfrac{1.2\times\;48}{320} = \dfrac{1.5\;\times V}{325}[/tex]
[tex]\rm\dfrac{1.2\times\;48}{320} = \dfrac{1.5\;\times V}{325}\\\\\\\;\;\;\;\;\;V= 39 \;L[/tex]
Therefore the initial volume of the gas is 39 L, option C is the correct answer
To know more about Combined Gas Law:
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