Question

A container of volume 2.24 L can withstand a maximum pressure of 2 atm at 298 K before exploding. The maximum amount of nitrogen (in g) that can be safely put in this container at this temperature is closest to

• A. 2.8
• B. 5.1
• C. 1.4
• D. 4.2

Answer 1

The correct option is B 5.1

$IdealgasequationPV=nRTMolesof{N}_{2}gas\left(n\right)=\frac{PV}{RT}=\frac{2atm\times 2.24L}{0.821Latmmo{l}^{-1}{K}^{-1}\times 298K}n=\frac{4.48}{0.082\times 298}Massof{N}_{2}gas\left(ing\right)=moles\times molarMass=\frac{4.48\times 28}{0.0821\times 298}=5.1g$