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16 September, 05:37

A quantity of gas occupies a volume of 506 cm 3 at a temperature of 147 o C.

Assuming the pressure stays constant, at what temperature will the

volume of the gas be 604 cm 3?

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Answers (2)
  1. 16 September, 05:42
    0
    228.3°C

    Explanation:

    Data obtained from the question include:

    V1 (initial volume) = 506 cm3

    T1 (initial temperature) = 147°C = 247 + 273 = 420K

    V2 (final volume) = 604 cm3

    T2 (final temperature) = ?

    The gas is simply obeying Charles' law because the pressure is constant.

    The final temperature of the gas can be obtained by using the Charles' law equation V1/T1 = V2/T2 This is illustrated below:

    V1/T1 = V2/T2

    506/420 = 604/T2

    Cross multiply to express in linear form as shown:

    506 x T2 = 420 x 604

    Divide both side by 506

    T2 = (420 x 604) / 506

    T2 = 501.3K

    Now let us convert 501.3K to a temperature in celsius scale. This is illustrated below:

    °C = K - 273

    °C = 501.3 - 273

    °C = 228.3°C

    Therefore, the temperature of the gas when the volume of the gas is 604 cm3 is 228.3°C
  2. 16 September, 07:37
    0
    180°C

    Explanation:

    Here we can apply Charles' law which states that the volume of a fixed mass of gas is directly proportional to its temperature at constant pressure

    Symbolically written as

    VαT

    V=KT

    V/T = K

    V1/T1 = V2/T2

    We shall apply this formula derived from Charles' law to this question since pressure is kept constant

    Step 1

    From the question,

    V1 = 506cm³

    V2 = 604cm³

    T1 = 147°c = 147 + 273 = 420K

    T2 = ?

    Recall, V1/T1 = V2/T2

    506cm³/420K = 604cm³/T2

    We make T2 the subject by cross multiplying, then dividing

    506cm³*T2 = 604cm³*420K

    T2 = (604cm³*420K) / 506cm³

    T2 = 501.3K

    501.3K = 501.3 - 273 = 228.3°C

    Therefore, the temperature of the gas at a volume of 604cm³ is 501.3K or 228.3°C
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