Question #49412

The pressure exerted by a gas is 2.5 atm while it has a volume of 150 cm3. What would be the volume of this sample of gas at standard atmospheric pressure?

Expert's answer

Answer on Question #49412 - Chemistry - Other

Question

The pressure exerted by a gas is 2.5 atm while it has a volume of 150 cm³. What would be the volume of this sample of gas at standard atmospheric pressure?

Answer:

The combined gas law is:


PVT=P1V1T1\frac {P V}{T} = \frac {P _ {1} V _ {1}}{T _ {1}}


Assume the temperature is constant in this case, as it isn't mentioned in the task. Therefore:


PV=P1V1P V = P _ {1} V _ {1}

P1P_{1} – standard atmospheric pressure, P1=1P_{1} = 1 atm.

The volume of this sample of the gas at standard atmospheric pressure would be:


V1=PV1=2.51501=375 cm3V _ {1} = \frac {P V}{1} = \frac {2.5 \cdot 150}{1} = 375 \text{ cm}^3


Answer: 375 cm3375 \text{ cm}^3

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