What is the density (in g/L) of hydrogen gas at 20.0 °C and a pressure of 1655 psi?

검증된 단계별 안내

Convert the pressure from psi to atm using the conversion factor: 1 atm = 14.696 psi.

Convert the temperature from Celsius to Kelvin by adding 273.15 to the Celsius temperature.

Use the ideal gas law equation, PV = nRT, to solve for the molar volume (V/n) of the gas. Here, P is the pressure in atm, V is the volume in liters, n is the number of moles, R is the ideal gas constant (0.0821 L·atm/mol·K), and T is the temperature in Kelvin.

Calculate the molar mass of hydrogen gas (H₂), which is approximately 2.02 g/mol.

Determine the density of the gas using the formula: density = (molar mass) / (molar volume).

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주요 개념

질문에 올바르게 답하기 위해 반드시 이해해야 하는 핵심 개념들은 다음과 같습니다.

Ideal Gas Law

The Ideal Gas Law relates the pressure, volume, temperature, and number of moles of a gas through the equation PV = nRT. This law is essential for calculating the properties of gases under various conditions. In this case, it will help determine the density of hydrogen gas by rearranging the equation to find the mass per unit volume.

Density Calculation

Density is defined as mass per unit volume (density = mass/volume). For gases, density can be expressed in grams per liter (g/L). Understanding how to calculate density using the Ideal Gas Law is crucial for solving the question, as it requires converting the conditions of the gas into a usable form for density determination.

Unit Conversion

Unit conversion is the process of converting a quantity from one unit to another. In this question, pressure is given in psi, which must be converted to a compatible unit (such as atm or Pa) for use in the Ideal Gas Law. Mastery of unit conversions is vital for accurate calculations in chemistry, especially when dealing with different measurement systems.