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2.- A gas occupies a volume of 30 L at a temperature of 300 K. What will its volume be if the temperature is increased to 450 K, keeping the pressure constant?

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Answer to a math question 2.- A gas occupies a volume of 30 L at a temperature of 300 K. What will its volume be if the temperature is increased to 450 K, keeping the pressure constant?

Expert avatar
Gerhard
4.5
92 Answers
V_1 = 30 \ \text{L}

T_1 = 300 \ \text{K}

T_2 = 450 \ \text{K}

Use Charles's Law:

\frac{V_1}{T_1} = \frac{V_2}{T_2}

Rearrange to solve for V_2 :


V_2 = V_1 \cdot \frac{T_2}{T_1}

Substitute the known values:

V_2 = 30 \cdot \frac{450}{300}

Simplify:

V_2 = 30 \cdot 1.5 = 45 \ \text{L}

Final Answer:

V_2 = 45 \ \text{L}

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