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A sample of gas has a mass of 38.6 mg. Its volume is 224 mL at a temperature of 35°C and a pressure of 896 torr.

Find the molar mass of the gas.

Answer :

Final answer:

To find the molar mass of the gas, use the ideal gas law equation and substitute the given values. The molar mass of the gas is approximately 28.01 g/mol.

Explanation:

To find the molar mass of the gas, we can use the ideal gas law equation:

molar mass = (mass * R * temperature) / (pressure * volume)

Substituting the given values:

molar mass = (38.6 mg * 0.0821 L * atm / mol * K * 308 K) / (896 torr * 0.224 L)

Simplifying the equation gives:

molar mass ≈ 28.01 g/mol

Therefore, the molar mass of the gas is approximately 28.01 g/mol.

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