# One.liter of an unknown gas weigh 24.3 grams at.standard pressure and -273 degree centigrade one possible formula of gas is 1 CO2 , 2 H2 3, O2 4, SO2?

##### 2 Answers

None of the above! Your "gas" is a solid.

But let's treat this problem in a theoretical manner anyway...

Here we just seek the **molar mass** of the gas, and hence find its identity... The assumption is that it is ideal at high temperature and low pressure, ** neither** of which is true here... but it is implied in the question to do so anyway

#PV = nRT#

#P# is pressure in#"bar"# .#V# is volume in#"L"# .#n# is mols of ideal gas.#R = "0.083145 L"cdot"bar/mol"cdot"K"# is the universal gas constant.#T# is temperature in#"K"# .

Now, we can **solve for the mols**, because we are given the mass.

#n = (PV)/(RT)#

Being modern people here, we use the post-1982 IUPAC ruling of

#n = ("1 bar" cdot "1 L")/("0.083145 L"cdot"bar/mol"cdot"K" cdot "1.15 K")#

#=# #"10.5 mols"# ...

...for which we apparently get:

#color(red)(M_m) = "24.3 g"/"10.5 mols" = color(red)("2.32 g/mol")#

The only one remotely close is

*And we see that at #"1.15 K"# and #"1 bar"#, hydrogen gas is... a *

**SOLID**!

.See below

#### Explanation:

Alternative method:

Given this information, we need to find the molar mass of this gas in grams/mol to truly determine it's identity.

We will use the gas law constant:

We need the temperature in Kelvin so:

Use dimensional analysis until you're left with "g/mol":

This is about the molar mass of