The volume of a gas decreases to half of its original volume, but the gas maintains the same number of moles and temperature. According to the ideal gas law, what will most likely happen to the pressure? It will double. It will decrease. It will increase slightly. It will remain the same.
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The pressure will double because.....
Let
initial pressure be P1 and
final pressure be P2.
Initial volume will be V then,
final volume will be V/2 (as per question).
Now we have,
P1V1 = P2V2
So, according to our question
P1V = P2V/2
P1 x V /(V/2) = P2
P2 = 2P1.
Therefore, final pressure will be double of initial pressure.
Thanks.
Let
initial pressure be P1 and
final pressure be P2.
Initial volume will be V then,
final volume will be V/2 (as per question).
Now we have,
P1V1 = P2V2
So, according to our question
P1V = P2V/2
P1 x V /(V/2) = P2
P2 = 2P1.
Therefore, final pressure will be double of initial pressure.
Thanks.
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