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A 7.01mol sample of nitrogen gas is stored in a 16.1mL container at 94.1°C. Calculate the pressure exerted by nitrogen gas in the container. Round your answer to 3 significant figures.

Question

A 7.01mol sample of nitrogen gas is stored in a 16.1mL container at 94.1°C. Calculate the pressure exerted by nitrogen gas in the container. Round your answer to 3 significant figures.

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Solution

To solve this problem, we will use the ideal gas law equation, which is PV = nRT.

Here's the step-by-step solution:

  1. Convert the volume from mL to L: 16.1 mL = 0.0161 L
  2. Convert the temperature from Celsius to Kelvin: 94.1°C = 367.25 K
  3. Substitute the given values into the ideal gas law equation: P = nRT/V
  4. Plug in the values: P = (7.01 mol)(0.0821 L·atm/K·mol)(367.25 K) / 0.0161 L
  5. Calculate the pressure: P = 178,000 atm

So, the pressure exerted by the nitrogen gas in the container is approximately 178,000 atm.

This problem has been solved

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