Question

homework: classifying matter
complete the following homework assignment. you will have 5 attempts to improve your score.

1. a gas has a pressure of 782.5 mm hg at 24.4 °c. what is the temperature, in °c, at a pressure of 622.9 mmhg? round your answer to 1 decimal place.
2. decide multiple - 1 point

which of these is a mixture with matter that is not evenly distributed throughout?
compound
homogeneous mixture
solution
heterogeneous mixture

Explanation:

Step1: Use Gay - Lussac's Law

Gay - Lussac's Law is $ \frac{P_1}{T_1}=\frac{P_2}{T_2}$, where $P_1$ and $T_1$ are the initial pressure and temperature, and $P_2$ and $T_2$ are the final pressure and temperature. First, convert the temperatures to Kelvin. The initial temperature $T_1=(24.4 + 273.15)\text{ K}=297.55\text{ K}$, $P_1 = 782.5\text{ mmHg}$, and $P_2=622.9\text{ mmHg}$.

Step2: Rearrange the formula to solve for $T_2$

From $\frac{P_1}{T_1}=\frac{P_2}{T_2}$, we can get $T_2=\frac{P_2T_1}{P_1}$.

Step3: Substitute the values

$T_2=\frac{622.9\text{ mmHg}\times297.55\text{ K}}{782.5\text{ mmHg}}$.
$T_2=\frac{622.9\times297.55}{782.5}\text{ K}\approx237.1\text{ K}$.

Step4: Convert back to Celsius

$t_2=T_2 - 273.15$. So $t_2=(237.1 - 273.15)^{\circ}C=- 36.1^{\circ}C$.

For question 2:
A compound is a pure - substance, not a mixture. A homogeneous mixture has a uniform composition throughout, and a solution is a type of homogeneous mixture. A heterogeneous mixture has a non - uniform composition.

Answer:

1. $-36.1^{\circ}C$
2. Compound