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How much hydrogen is present in a 20 liter

container at a pressure of 598 torr at 139.2°C?
Answer in units of mol.

1 Answer

1 vote

Answer: 0.0238 moles

Explanation: Convert pressure from torr to atm:

598 torr ÷ 760 torr/atm = 0.789 atm

Convert temperature from Celsius to Kelvin:

139.2°C + 273.15 = 412.35 K

Use the ideal gas law equation to calculate the number of moles of gas:

PV = nRT

n = (PV) / (RT)

where P = 0.789 atm, V is the volume of the container (unknown), R = 0.0821 Latm/molK (the ideal gas constant), and T = 412.35 K

n = (0.789 atm * V) / (0.0821 Latm/molK * 412.35 K)

If we assume the container has a volume of 1 liter, we can solve for n:

n = (0.789 atm * 1 L) / (0.0821 Latm/molK * 412.35 K)

n = 0.0238 mol

Therefore, if the container has a volume of 1 liter, there are 0.0238 moles of gas in the container at a pressure of 598 torr and a temperature of 139.2°C.

User Greg R Taylor
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