A sample of nitrogen gas, stored in a 61.1mL container at 70.1°C, exerts a pressure of 33.1atm. Calculate the number of moles of nitrogen gas in the container. Be sure your answer has the correct number of significant figures.Note: Reference the Fundamental constants and SI prefixes table for additional information.
Question
A sample of nitrogen gas, stored in a 61.1mL container at 70.1°C, exerts a pressure of 33.1atm. Calculate the number of moles of nitrogen gas in the container. Be sure your answer has the correct number of significant figures.Note: Reference the Fundamental constants and SI prefixes table for additional information.
Solution
To solve this problem, we will use the ideal gas law equation, which is PV = nRT.
Where: P = pressure V = volume n = number of moles R = ideal gas constant T = temperature
Given in the problem: P = 33.1 atm V = 61.1 mL = 0.0611 L (since 1L = 1000mL) T = 70.1°C = 343.25 K (since K = °C + 273.15) R = 0.0821 L.atm/K.mol (this is the value of R when pressure is in atm, volume is in liters, and temperature is in Kelvin)
We need to find n, the number of moles.
Rearranging the ideal gas law equation to solve for n, we get n = PV/RT.
Substituting the given values into the equation, we get:
n = (33.1 atm * 0.0611 L) / (0.0821 L.atm/K.mol * 343.25 K)
After performing the calculation, we get n = 0.073 moles.
So, there are 0.073 moles of nitrogen gas in the container.
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