Answer to Question #144114 in General Chemistry for kat

Question

A balloon is filled with 1.46 g of nitrogen gas (N2) at 0 °C and 1.0 atm (STP). What is the volume of the filled balloon?

Answer 1

volume of the filled balloon = volume of 1.46 g of nitrogen gas (N2) at 0 °C and 1.0 atm (STP)

Temperature = 0°C

So, T = 273 K

Pressure, P = 1 atm

Mass of nitrogen gas, W = 2.46 g

Molar mass of nitrogen gas, M = 28 g/mol

So, number of moles of nitrogen gas,

n= (2.46/28) mol

From the ideal gas equation

PV = nRT

Or, V = nRT/P

Putting the values, and

R = 0.082 L.atm.mol^-1.K^-1 we get

So, V = (2.46/28)×0.082×273/1

=1.967 L

volume of 1.46 g of nitrogen gas (N2) at 0 °C and 1.0 atm (STP) = 1.967 L

Hence,

volume of the filled balloon = 1.967 L