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17 June, 18:27

A gas sample occupies 3.25 liters at 297.5K and 2.4 atm. Determine the temperature at which the gas will occupy 4.25 L at 1.50 atm.

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  1. 17 June, 20:27
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    For equal moles of gas, temperature can be calculated from ideal gas equation as follows:

    P*V=n*R*T ... (1)

    Initial volume, temperature and pressure of gas is 3.25 L, 297.5 K and 2.4 atm respectively.

    2.4 atm * 3.25 L=n*R*297.5 K

    Rearranging,

    n/times R=0.0262 atm L/K

    Similarly at final pressure and volume from equation (1),

    1.5 atm * 4.25 L=n*R*T

    Putting the value of n*R in above equation,

    1.5 atm * 4.25 L=0.0262 (atm L/K) * T

    Thus, T=243.32 K
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