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At 300 mm Hg, a gas has a volume of 380 L. What is its volume at standard pressure?

User Karan Shah
by
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1 Answer

1 vote

Answer:


V_2 = 150\ mmHg

Step-by-step explanation:

Given

Initial Pressure = 300 mmHg

Initial Volume = 380 L

Required

Volume of the gas at standard pressure

This can be solved using Boyle's law;

Which states that
P_1V_1 = P_2V_2

Where


P_1 = Initial\ Pressure = 300\ mmHg\\P_2 = Standard\ Pressure = 760\ mmHg\\V_1 = Initial\ Volume = 380L\\V_2 = Final\ Volume = ?

Substitute the above values in the Boyle's law equation


P_1V_1 = P_2V_2 becomes


300 * 380 = 760 * V_2


114000 = 760V_2

Divide both sided by 760


(114000)/(760) = (760V_2)/(760)


(114000)/(760) = V_2


150 = V_2


V_2 = 150\ mmHg

Hence, the volume of the gas as standard pressure is 150 mmHg

User Kmader
by
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