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20 June, 23:09

A steel cylinder of oxygen is being store in a room at 25.0 °C under a pressure of 1250 atm. What pressure would be exerted by the gas if the container were transported across the desert at 40.0°C?

a. 1750 atm

b. 15700 atm

c. 1980 atm

d. 1310 atm

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  1. 20 June, 23:58
    0
    P₂ = 1312.88 atm

    Explanation:

    Given dа ta:

    Initial temperature = 25°C

    Initial pressure = 1250 atm

    Final temperature = 40°C

    Final pressure = ?

    Solution:

    Initial temperature = 25°C (25+273.15 = 298.15 K)

    Final temperature = 40°C (40+273.15 = 313.15 k)

    The pressure of given amount of a gas is directly proportional to its temperature at constant volume and number of moles.

    Mathematical relationship:

    P₁/T₁ = P₂/T₂

    Now we will put the values in formula:

    1250 atm / 298.15 K = P₂/313.15 K

    P₂ = 1250 atm * 313.15 K / 298.15 K

    P₂ = 391437.5 atm. K / 298.15 K

    P₂ = 1312.88 atm
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