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If an ideal gas has a pressure of 6.85 atm, a temperature of 91.94 C, and a volume of 88.45 L, how many moles of gas are in the sample?

Answer:

Calculating the Number of Moles of Gas in a Sample

The number of moles of gas in a sample can be calculated using the Ideal Gas Law, which states that PV = nRT, where P is the pressure, V is the volume, n is the number of moles, R is the universal gas constant, and T is the temperature. In this case, the pressure is 6.85 atm, the temperature is 91.94 C, and the volume is 88.45 L. To calculate the number of moles, we can rearrange the equation to solve for n: n = (PV)/(RT). Plugging in the values, we get n = (6.85 atm)(88.45 L)/(8.314 J/molK)(164.8 K), which simplifies to n = 7.989 moles. Therefore, there are 7.989 moles of gas in the sample.

Analysis of the Calculation

The calculation of the number of moles of gas in the sample was done using the Ideal Gas Law, which states that PV = nRT, where P is the pressure, V is the volume, n is the number of moles, R is the universal gas constant, and T is the temperature. To calculate the number of moles, we rearranged the equation to solve for n and plugged in the given values. The result was 7.989 moles.

Implications of the Calculation

The number of moles calculated from the Ideal Gas Law can be used to determine other properties of the gas, such as the density, mass, and molecular weight. Knowing the number of moles of the gas in the sample can also help to calculate the amount of material needed to produce a certain number of moles of the gas.

Limitations of the Calculation

The calculation of the number of moles of gas in the sample was done using the Ideal Gas Law, which assumes that the gas is ideal and follows the assumptions of the law. If the gas does not follow these assumptions, then the calculated number of moles may not be accurate.

Related Questions

What is the Ideal Gas Law?
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