To test the effectiveness of a gunpowder mixture, 1 gram was exploded under controlled stp conditions, and the reaction chamber was found to expand to 310 cm3. what volume would these gases occupy at the temperature produced by an uncontrolled explosion (2,200°c) and 2.1 atmospheres of pressure?

Given:

STP (initial) conditions where: P1 = 1 atm and T1 = 298 K

Volume of gas V1 = 310 cm3

Final conditions:

P1 = 2.1 atm

T2 = 2200 + 273 = 2473 K

To determine:

The final volume (V2) occupied by the gas

Explanation:

Using the combined gas law relation:-

P1V1/T1 = P2V2/T2

V2 = (P1V1/T1)(T2/P2)

    = (1*310/298)(2473/2.1) = 1225 cm3

Ans: The volume occupied by the gas under uncontrolled explosion is 1225 cm3

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