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28 July, 11:27

Combining Boyle's law and Charles' law forms one presure-temperature-volume relationship and holds the mass of the gas constant. Which equation represents the relationship of the combined gas law?

A) (P1/T1) = (P2/T2)

B) (P1/n1) = (P2/n2)

C) (P1V1/T1) = (P2V2/T2)

D) P1V1=P2V2

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Answers (1)
  1. 28 July, 11:44
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    Option C

    Explanation:

    Boyles law states that pressure is in inverse proportion with volume for a gas. This can be represented by the equation PV=k, where P is the pressure, V is the volume and k is a constant.

    Charles law states that volume is in direct proportion with to temperature of the gas. This can be represented by the equation V/T=k, where T stands for temperature, V stands for volume and k represents a constant.

    Combining the equations for Charles and Boyles law we get

    PV/T = k, here k represents the constant value.

    If we have P1, V1, T1 and P2 V2 and T2 representing the pressure of gas, volume of gas and the temperature of gas in 2 different conditions, then as per the above laws

    P1V1/T1 = k and P2V2/T2 = k

    Since both are equal to the same constant k, we have P1V1/T1=P2V2/T2
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