Final answer:
To find the temperature of an 11.2-L sample of carbon monoxide at 744 torr, the combined gas law equation is used. The final temperature (T2) is calculated by substituting the given values into the rearranged formula and converting the result from Kelvin to Celsius.
Step-by-step explanation:
The question asks for the temperature of an 11.2-L sample of carbon monoxide (CO) at a pressure of 744 torr, given that it occupies 13.3 L at 55°C and 724 torr. To solve this, we use the combined gas law which relates pressure (P), volume (V), and temperature (T):
(P1 * V1) / T1 = (P2 * V2) / T2
Where:
P1 = 724 torr
V1 = 13.3 L
T1 = 55°C + 273 = 328 K
P2 = 744 torr
V2 = 11.2 L
We are looking for T2 which represents the final temperature in Kelvin. Rearranging the formula and solving for T2 gives us:
T2 = (P2 * V2 * T1) / (P1 * V1)
Plugging in the values:
T2 = (744 torr * 11.2 L * 328 K) / (724 torr * 13.3 L)
Calculating this results in a final temperature for T2. Since the student's question asks for the temperature, this means converting the Kelvin result back to Celsius by subtracting 273.
This calculation allows us to find the new temperature under the specified conditions using the principles of gas behavior.