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12 December, 07:30

A gas has a volume of 50.0 cm3 at a temperature of - 73°C. What volume would the gas occupy at a temperature of - 123°C if the pressure stays constant?

f 5.0 cm3

g 3.75 cm3

h 37.5 cm3

j 50.0 cm3

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  1. 12 December, 07:57
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    h. 37.5 cm³

    Explanation:

    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 and P are constant, and have different values of V and T:

    (V₁T₂) = (V₂T₁).

    V₁ = 50.0 cm³, T₁ = - 73°C + 273 = 200 K,

    V₂ = ? cm³, T₂ = - 123°C + 273 = 150 K.

    ∴ V₂ = (V₁T₂) / (T₁) = (50.0 cm³) (150 K) / (200 K) = 37.5 cm³.

    So, the right choice is: h. 37.5 cm³.
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