If the volume occupied by 0.500 mol of nitrogen gas at 0°c is 11.2 l, then the volume occupied by 2.00 mol of nitrogen gas at the same temperature and pressure will be: a. the data given is not sufficient to determine the volume b. 22.4 l c. 44.8 l d. the same as that occupied by 0.500 mol of nitrogen gas

Avagadros law states that volume of gas is directly proportional to number of moles of gas at constant pressure and temperature.

where V -volume , n - number of moles 
parameters for the first instance are on the left side and parameters for the second instance are on the right side of the equation 
substituting these values in the equation 

V = 44.8 L 
answer is C. 44.8 L