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16 November, 08:37

Suppose you have 0.100 m3 of co2, at pressure of 2.00 atm, and a temperature of 30.0◦c. how many grams of co2 do you have? express your answer in grams.

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  1. 16 November, 08:39
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    Use Ideal Gas equation since values are given in Pressure (P), Volume (V), Temperature (T). P V = n R T; n = PV / RT

    To choose the value of R (gas constant), check out the units of other values in the equation. They are in atm, m³, kelvin, and mole. So, its value is 8.205 m³ atm K⁻¹ mol⁻¹

    P = 2.00 atmV = 0.100 m³R = 8.205 m³ atm K⁻¹ mol⁻¹T = (30 + 273) K (recall Kelvin = Celcius + 273; K = °C + 273)

    Substitute values into equation of n = PV / RT

    n=2.00 atm * 0.100 m³ / 8.205 m³ atm K⁻¹ mol⁻¹ * 303 K = 8.04 * 10⁻⁵ mole

    Mole of CO₂ is 8.04 * 10⁻⁵. Its molar mass is 44 g/mol.

    To find out its mass use mole = mass / Molar mass; n = m / M; m = n M

    m = (8.04 * 10⁻⁵ mol) (44 g/mol) = 0. 035 g

    The answer is 0.035 g
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