At 289 K, a sample of gas has a volume of 42.0 cm3. What volume does the gas occupy at 342 K? (12.5 Points)

Question

At 289 K, a sample of gas has a volume of 42.0 cm3. What volume does the gas occupy at 342 K? (12.5 Points)

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RuslanHeatt 6 months 2021-08-09T05:36:42+00:00 1 Answers 3 views 0

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    2021-08-09T05:38:19+00:00

    Answer: 49.7\ cm^3

    Explanation:

    Given

    At temperature T_1=289\ K

    Volume is V_1=42\ cm^3

    and the temperature changes to T_2=342\ K

    At this temperature volume is V_2

    Consider Pressure remains the constant

    \therefore \dfrac{V_1}{T_1}=\dfrac{V_2}{T_2}\\\\\Rightarrow V_2=V_1\times \dfrac{T_2}{T_1}\\\\\text{Insert values}\\\\\Rightarrow V_2=42\times \dfrac{342}{289}\\\\\Rightarrow V_2=49.7\ cm^3

    The volume at this temperature is 49.7\ cm^3

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