Answered

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What is the temperature of an 11.2-L sample of carbon monoxide, CO, at 744 torr if it occupies 13.3 L at 55 °C and 744 torr?

Sagot :

SOLUTION:

Step 1: List the given values.

To convert the temperature from degree Celsius to kelvin, add 273 to the temperature expressed in degree Celsius.

[tex]\begin{aligned} V_1 & = \text{13.3 L} \\ T_1 & = 55^{\circ}\text{C} = \text{328 K} \\ V_2 & = \text{11.2 L} \end{aligned}[/tex]

Step 2: Calculate the final temperature (in degree Celsius) by using Charles' law.

To convert the temperature from kelvin to degree Celsius, subtract 273 from the temperature expressed in kelvin

[tex]\begin{aligned} T_2 & = \frac{T_1V_2}{V_1} \\ & = \frac{(\text{328 K})(\text{11.2 L})}{\text{13.3 L}} \\ & = \text{276 K} \\ & = \boxed{3^{\circ}\text{C}} \end{aligned}[/tex]

Hence, the temperature of an 11.2-L sample of CO at 744 torr is 3°C.

[tex]\\[/tex]

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