Answer :

So when it says at STP, you are given the values of temperature and pressure.
T=273.15K
P=100kpa
R=8.314 (it's a constant)
n=3.70
V=?

Now use the formula PV=nRT and isolate for V
V=nRT/P
V=(3.70)(8.314)(273.15)/100
V=84.0L

Eduard22sly

The volume of 3.70 moles of N₂ gas at STP is 82.93 L

Data obtained from the question

  • Mole of N₂ = 3.7 moles
  • Volume =?

How to determine the volume

The volume of N₂ gas at STP can be obtained by using the ideal gas equation as illustrated below:

  • Mole of N₂ (n) = 3.7 moles
  • Pressure (P) = STP = 1 atm
  • Temperature (T) = STP = 273
  • Gas constant (R) = 0.0821 atm.L/Kmol
  • Volume =?

PV = nRT

1 × V = 3.7 × 0.0821 × 273

V = 82.93 L

Therefore, the volume of N₂ gas at STP is 82.93 L

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