A sample of nitrogen dioxide has a volume of 28.6 L at 45.3°C and 89.9 kPa. What is its volume at STP?

1 Answer
Jun 11, 2017

Answer:

#22.1# #"L"#

Explanation:

We can solve this problem using the combined gas law:

#(P_1V_1)/(T_1) = (P_2V_2)/(T_2)#

Standard temperature and pressure conditions are

  • #100# #"kPa"#

  • #0^"o""C"#

Remember that the temperatures must be in Kelvin, so we must convert the Celsius temperatures:

#0^"o""C" = 273.15# #"K"#

#45.3^"o""C" = 318.5# #"K"#

Since we're trying to find the volume at stp, let's rearrange this equation to solve for #V_2#:

#V_2 = (P_1V_1T_2)/(T_1P_2)#

Plugging in known values, we have

#V_2 = ((89.9cancel("kPa"))(28.6"L")(273.15cancel("K")))/((318.5cancel("K"))(100cancel("kPa"))) = color(red)(22.1# #color(red)("L"#

rounded to #3# significant figures, the amount given in the problem.

The volume of the nitrogen as sample at stp is thus #22.1# liters.