A reaction at 11.0°C produces 133 mmol of boron trifluoride gas. Calculate the volume of the collected boron trifluoride gas, assuming the room pressure is exactly 1 atm. Round your answer to three significant digits.

Physics · College · Thu Feb 04 2021

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To calculate the volume of the boron trifluoride (BF3) gas produced, we can use the Ideal Gas Law, which is given by the equation PV = nRT, where:

- P is the pressure, - V is the volume, - n is the number of moles of gas, - R is the ideal gas constant, - T is the temperature in Kelvin.

We have the following information:

n = 0.133 moles (133 mmol of BF3), P = 1 atm (room pressure), R = 0.0821 L·atm/mol·K (this is the value of the ideal gas constant for these units), T = 11.0°C.

The temperature in Kelvin is T(K) = T(°C) + 273.15, so the temperature in Kelvin for this problem is:

T(K) = 11.0°C + 273.15 T(K) = 284.15 K.

Now we can solve for V:

PV = nRT V = nRT / P V = (0.133 mol)(0.0821 L·atm/mol·K)(284.15 K) / (1 atm) V ≈ 3.074 L.

Rounding this to three significant digits, the volume of the boron trifluoride gas collected is approximately 3.07 L.

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