The volume of 10.5 moles of nitrogen gas at STP (Standard Temperature and Pressure) is 235.339 liter of gas. This problem can be solved by using the PV=nRT or V= nRT/V equation which is the relation between the molar volume, the temperature, and the pressure of gas. In this formula, P is the pressure (1 atm @STP), R is the universal gas constant ( 0.0821 atm L/mol K), n is the molecule amount (10.5), V is the molecular volume, and T is the temperature ( 273 K @STP).
The calculation for the problem above: 10.5*0.0821*273/1 = 235.339