5/13/2025\nchemistry\n1. if i have 12 l of a ...
5/13/2025\nchemistry\n1. if i have 12 l of a gas 1.5 atm and 473 k, how many moles of gas do i have?
Answer
# Explanation:
## Step1: Identify the ideal - gas law formula
The ideal - gas law is $PV = nRT$, where $P$ is pressure, $V$ is volume, $n$ is the number of moles, $R$ is the ideal - gas constant ($R=0.0821\ L\cdot atm/(mol\cdot K)$), and $T$ is temperature. We need to solve for $n$, so $n=\frac{PV}{RT}$.
## Step2: Substitute the given values
Given $P = 1.5\ atm$, $V = 12\ L$, $T = 473\ K$, and $R = 0.0821\ L\cdot atm/(mol\cdot K)$.
$n=\frac{1.5\ atm\times12\ L}{0.0821\ L\cdot atm/(mol\cdot K)\times473\ K}$
## Step3: Calculate the value of $n$
First, calculate the numerator: $1.5\times12 = 18$.
Then, calculate the denominator: $0.0821\times473\approx38.8333$.
$n=\frac{18}{38.8333}\approx0.46\ mol$
# Answer:
$0.46\ mol$