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27 August, 08:29

The temperature of a 500. ml sample of gas increases from 150. k to 350. k. what is the final volume of the sample of gas, if the pressure in the container is kept constant?

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  1. 27 August, 08:40
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    To solve this we assume that the sample gas is an ideal gas. Then, we can use the ideal gas equation which is expressed as PV = nRT. At a constant pressure and number of moles of the gas, the ratio T/V is equal to some constant. At another set of condition of temperature, the constant is still the same. Calculations are as follows:

    T1 / V1 = T2 / V2

    V2 = T2 x V1 / T1

    V2 = 350 K x 500 mL / 150 K

    V2 = 1166.67 mL

    Therefore, the new volume of the system from the temperature change would be 1166.67 mL or about 1.2 L.
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