A gas occupies a volume of 2.50 L at a pressure of 350.0 kPa. If the temperature remains constant, what volume would the gas occupy at

Question

A gas occupies a volume of 2.50 L at a pressure of 350.0 kPa. If the temperature remains
constant, what volume would the gas occupy at 1750 kPa ?
1. 12.5 L
2. 5.00 L
3. 1.40e+2L
4. 0.500 L

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Thu Nguyệt 2 months 2021-07-28T16:59:56+00:00 1 Answers 4 views 0

Answers ( )

    0
    2021-07-28T17:01:13+00:00

    Answer:

    V₂ = 0.5 L

    Explanation:

    Given that,

    Initial volume, V₁ = 2.5 L

    Pressure, P₁ = 350 kPa

    New pressure, P₂ = 1750 kPa

    We need to find the new volume if the temperature remains constant. The mathematical relation between P and V is :

    P\propto \dfrac{1}{V}\\\\or\\\\\dfrac{P_1}{P_2}=\dfrac{V_2}{V_1}

    Where

    V₂ is new volume

    So,

    V_2=\dfrac{P_1V_1}{P_2}\\\\V_2=\dfrac{350\times 2.5}{1750}\\\\V_2=0.5\ L

    So, the new volume is equal to 0.5 L.

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