Answer :
Final answer:
To find the number of moles of gas in a sample, use the ideal gas law equation PV = nRT. In this case, there are approximately 11.75 moles of gas in the 25.0 L sample.
Explanation:
To find the number of moles of gas in a sample, we can use the ideal gas law equation, which is PV = nRT, where P is the pressure, V is the volume, n is the number of moles, R is the ideal gas constant, and T is the temperature in kelvin. Rearranging the equation, we can solve for n: n = PV / RT.
Given that the volume of the sample is 25.0 L, the pressure is 98.2 kPa, and the temperature is 230 K, we can substitute these values into the equation. The ideal gas constant, R, is 8.314 J/(mol·K).
Plugging in the values, we get: n = (98.2 kPa) * (25.0 L) / (8.314 J/(mol·K) * 230 K). After performing the calculation, we find that there are approximately 11.75 moles of gas in the 25.0 L sample.
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