Question #8c9fd

1 Answer
Jul 5, 2017

It could be "O"_2O2

Explanation:

We're asked to identify the gas based on some gas measurements and it's mass.

What we can do is find the molar mass MM of the gas, using the equation

M = (dRT)/PM=dRTP

where

  • dd is the density of the gas, in "g/L"g/L. We're given that 44 "g"g occupies 2.82.8 "L"L, so the density is

(4color(white)(l)"g")/(2.8color(white)(l)"L") = 1.434lg2.8lL=1.43 "g/L"g/L

  • RR is the universal gas constant, equal to 0.082057("L"•"atm")/("mol"•"K")0.082057LatmmolK

  • TT is the absolute temperature of the gas, in "K"K. Standard temperature is defined as 273.15273.15 "K"K

  • PP is the pressure of the gas, in "atm"atm. Standard pressure is usually for these types of problems defined as 11 "atm"atm

Plugging in known values, we have

M = ((1.43"g"/(cancel("L")))(0.082057(cancel("L")•cancel("atm"))/("mol"•cancel("K")))(273.15cancel("K")))/(1cancel("atm"))

= color(red)(32.0 color(red)("g/mol"

To me, sfcolor(red)("oxygen gas" seems pretty close to this value, so it could be "O"_2.