Question

Question #f9fe7

Answer 1

`2` `"mol"`

Explanation:

To solve this equation, we can use the ideal-gas equation:

`PV = nRT`

where

• `P` is the pressure exerted by the gas (in `"atm"`),

• `V` is the volume occupied by the gas (in `"L"`),

• `n` is the quantity of the gas present (in `"mol"`),

• `R` is the universal gas constant, equal to `0.082057("L"·"atm")/("mol"·"K")`, and

• `T` is the absolute temperature of the system (in `"K"`).

Since we want to find the number of `sfcolor(red)("moles"`, let's rearrange the equation to solve for `color(red)(n`:

`n = (PV)/(RT)`

Since all our values are in the appropriate units, we can simply plug them into the equation:

`color(red)(n) = (PV)/(RT) = ((2cancel("atm"))(22.4cancel("L")))/((0.082057(cancel("L")·cancel("atm"))/("mol"·cancel("K")))(273cancel("K"))) = color(red)(2` `color(red)("mol"`

rounded to `1` significant figure, the amount given in the problem.