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3 May, 20:51

If 1.00 mol of an ideal monatomic gas initially at 77 K absorbs 100 J of thermal energy, what is the final temperature? Assume the volume does not change.

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  1. 4 May, 00:51
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    85 K

    Explanation:

    T₀ = initial temperature of the gas = 77 K

    T = final temperature of the gas = ?

    n = number of moles of monoatomic gas = 1.00 mol

    R = universal gas constant = 8.314

    c = heat capacity at constant volume = (1.5) R = (1.5) (8.314) = 12.5

    Q = Amount of heat absorbed = 100 J

    Amount of heat absorbed is given as

    Q = n c (T - T₀)

    100 = (1) (12.5) (T - 77)

    T = 85 K
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