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Question

the pressure on one mole of a gas at stp is doubled and temperature is raised to 546 K.what is the final volume of the gas,when one mole of gas occupies 22.4dm3 at STP

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Solution

Given conditions are-
At STP, volume of gas is (V1) = 22.4 dm3
Pressure is (P1) = 1 atm
Temperature is (T1) = 273 K
So, Volume of gas when pressure is doubled (P2) = 2 atm
Temperature is raised to (T2) = 546 K
Applying gas equation
P1V1 / T1 = P2V2 / T2
(1 X 22.4) / 273 = (2 X V2) / 546
0.08 = 0.0036 X V2
V2 = 22.22 dm3


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