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29 January, 17:47

Hydrogen has a volume of 1.0l and the pressure is 5.4 ATM if the initial temperature is 33 degrees c the final volume is 2.0 l and the final pressure is 4.3 ATM what was the final temperature of the hydrogen?

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  1. 29 January, 19:56
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    487.33 K.

    Explanation:

    To calculate the no. of moles of a gas, we can use the general law of ideal gas: PV = nRT.

    where, P is the pressure of the gas in atm.

    V is the volume of the gas in L.

    n is the no. of moles of the gas in mol.

    R is the general gas constant.

    T is the temperature of the gas in K.

    If n is constant, and have two different values of (P, V and T):

    P₁V₁T₂ = P₂V₂T₁

    P₁ = 5.4 atm, V₁ = 1.0 L, T₁ = 33°C + 273 = 306 K.

    P₂ = 4.3 atm, V₂ = 2.0 L, T₂ = ? K.

    ∴ T₂ = P₂V₂T₁/P₁V₁ = (4.3 atm) (2.0 L) (306 K) / (5.4 atm) (1.0 L) = 487.33 K.
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