6 formula 1 point the gas in a balloon occupi...
6 formula 1 point the gas in a balloon occupies 2.47 l at 38.0°c. at what temperature (in °c) will the balloon expand to 3.92 l? answer previous
Answer
# Explanation:
## Step1: Convert Celsius to Kelvin
The formula for Charles' Law is $\frac{V_1}{T_1}=\frac{V_2}{T_2}$. First, convert the initial temperature from Celsius to Kelvin. $T_1 = 38.0+ 273.15=311.15\ K$, $V_1 = 2.47\ L$, $V_2=3.92\ L$.
## Step2: Solve for $T_2$
From $\frac{V_1}{T_1}=\frac{V_2}{T_2}$, we can rearrange to $T_2=\frac{V_2T_1}{V_1}$. Substitute the values: $T_2=\frac{3.92\times311.15}{2.47}$.
Calculate $3.92\times311.15 = 1220.708$ and $1220.708\div2.47\approx494.21\ K$.
## Step3: Convert Kelvin to Celsius
To get the temperature in Celsius, use $T(^{\circ}C)=T(K)-273.15$. So $T = 494.21 - 273.15=221.06^{\circ}C$.
# Answer:
$221^{\circ}C$