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Verified Answer :

the new volume is 6.0 leters

Answer : The new volume will be, 1.5 L

Explanation :

Boyle's Law : It is defined as the pressure of the gas is inversely proportional to the volume of the gas at constant temperature and number of moles.

\(P\propto \frac{1}{V}\)

or,

\(P_1V_1=P_2V_2\)

where,

\(P_1\) = initial pressure = P

\(P_2\) = final pressure = 2P

\(V_1\) = initial volume = 3.0 L

\(V_2\) = final volume = ?

Now put all the given values in the above equation, we get:

\(P\times 3.0L=2P\times V_2\)

\(V_2=1.5L\)

Thus, the new volume will be, 1.5 L