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14 September, 10:32

A container holds 1.1 g of argon at a pressure of 8.0 atm. you may want to review (pages 382 - 383). how much will the temperature increase if this amount of heat energy is transferred to the gas at constant pressure? express your answer using two significant figures.

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  1. 14 September, 10:54
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    When heat energy at a constant pressure = the change of enthalpy

    ΔH = Q

    and when the internal energy of an ideal gas formula is:

    ΔH = n. Cp.ΔT

    and when Cp = (5/2) R at a constant pressure of a monatomic ideal gas

    ∴Q = n. (5/2). R.ΔT

    ∴ ΔT = Q / [n. (5/2). R]

    when Q is the heat required = 43.08 J (given)

    and n is no. of moles = mass / molar mass

    = 1.1 g / 39.948 g/mol

    = 0.0275 moles

    and R is gas constant = 8.314472J/mol K

    by substitution:

    ΔT = 43.08 J / (0.0275moles * (5/2) * 8.314472 J/mol K

    = 76.76 K
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