Question

unit 1b practice test
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1. formula 1 punto

a container containing 7.2 l of a gas is collected at 336.8 k and then allowed to expand to 19.2 l. what must the new temperature be, in k, in order to maintain the same pressure? round to 1 decimal place.
respuesta

Explanation:

Step1: Identify the gas - law formula

For a gas at constant pressure, Charles's law is used: $\frac{V_1}{T_1}=\frac{V_2}{T_2}$, where $V_1$ and $T_1$ are the initial volume and temperature, and $V_2$ and $T_2$ are the final volume and temperature.

Step2: Substitute the given values

We are given $V_1 = 7.2\ L$, $T_1=336.8\ K$, and $V_2 = 19.2\ L$. We need to find $T_2$. Rearranging the formula for $T_2$ gives $T_2=\frac{V_2T_1}{V_1}$.

Step3: Calculate the new temperature

$T_2=\frac{19.2\ L\times336.8\ K}{7.2\ L}$. First, calculate $19.2\times336.8 = 19.2\times(336 + 0.8)=19.2\times336+19.2\times0.8=(20 - 0.8)\times336+(19.2\times0.8)=(20\times336-0.8\times336)+15.36=(6720 - 268.8)+15.36 = 6451.2+15.36 = 6466.56$. Then, $\frac{6466.56}{7.2}=898.133\cdots$. Rounding to 1 - decimal place, $T_2\approx898.1\ K$.

Answer:

$898.1\ K$