Avagadro's law gives the relationship between volume and number of moles of gas.
At constant temperature and pressure , volume of gas is directly proportional to number of moles of gas.
V / n = k
where V - volume, n - number of moles , k - constant
[tex] \frac{V1}{n1} = \frac{V2}{n2} [/tex]
parameters for the first instance are on the left side and parameters for the second instance are on the right side of the equation
initial number of moles - N
after doubling - 2N
initial volume - 2.10 L
final volume - V
substituting in the equation
[tex] \frac{2.10L}{N} = \frac{V}{2N} [/tex]
V = 4.20 L
new volume is 4.20 L