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9. A 2-liter gas in a container has a temperature of 27 °C. What will be its volume if the temperature is increased to 227 °C? The pressure remains constant. A. 1.05 L​

Sagot :

SOLUTION:

Step 1: List the given values.

[tex]\begin{aligned} & V_1 = \text{2 L} \\ & T_1 = 27^{\circ}\text{C} = \text{300 K} \\ & T_2 = 227^{\circ}\text{C} = \text{500 K} \end{aligned}[/tex]

Step 2: Calculate the final volume by using Charles' law.

[tex]\begin{aligned} \frac{V_1}{T_1} & = \frac{V_2}{T_2} \\ V_2T_1 & = V_1T_2 \\ \frac{V_2T_1}{T_1} & = \frac{V_1T_2}{T_1} \\ V_2 & = \frac{V_1T_2}{T_1} \\ & = \frac{(\text{2 L})(\text{500 K})}{\text{300 K}} \\ & = \text{3.3333 L} \\ & \approx \boxed{\text{3.33 L}} \end{aligned}[/tex]

Hence, the volume of the gas will be 3.33 L if the temperature is increased to 227°C.

[tex]\\[/tex]

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