A gas initial volume and pressure is 5m^3 and 101320 Pa and allows to expand up to 12m^3 then what is the final pressure?

Question

A gas initial volume and pressure is 5m^3 and 101320 Pa and allows to expand up to 12m^3 then what is the final pressure?

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Ngọc Hoa 4 years 2021-09-01T01:11:10+00:00 1 Answers 12 views 0

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    2021-09-01T01:12:49+00:00

    Answer:

    New pressure = 42216.66 Pa

    Explanation:

    Given that,

    Initial volume, V₁ = 5 m³

    Final pressure, P₁ = 101320 Pa

    Final volume, V₂ = 12 m³

    We need to find the final pressure of the gas. We know that the relation between pressure and volume is given by :

    P\propto \dfrac{1}{V}\\\\P_1V_1=P_2V_2\\\\P_2=\dfrac{P_1V_1}{V_2}\\\\P_2=\dfrac{101320 \times 5}{12}\\\\P_2=42216.67\ Pa

    So, the new pressure is equal to 42216.66 Pa.

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