# Question f9fe7

Jun 13, 2017

$2$ $\text{mol}$

#### Explanation:

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

$P V = n R T$

where

• $P$ is the pressure exerted by the gas (in $\text{atm}$),

• $V$ is the volume occupied by the gas (in $\text{L}$),

• $n$ is the quantity of the gas present (in $\text{mol}$),

• $R$ is the universal gas constant, equal to $0.082057 \left(\text{L"·"atm")/("mol"·"K}\right)$, and

• $T$ is the absolute temperature of the system (in $\text{K}$).

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

$n = \frac{P V}{R T}$

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.