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A tank of h₂ shows a pressure of 7.35 atm at a temperature of 30.0 °C. What is the density (in g/l) of the gas?

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Final answer:

The density of hydrogen gas can be calculated using the Ideal Gas Law, which involves the pressure, temperature, and molar mass of the gas, along with the universal gas constant.

Step-by-step explanation:

To calculate the density of hydrogen gas (H2) at a given temperature and pressure, you should apply the Ideal Gas Law in combination with the molar mass of hydrogen. First, convert the given pressure to Pascals or your preferred consistent unit for gas calculations. Then, convert the Celsius temperature to Kelvin by adding 273.15. Next, use the Ideal Gas Law, 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 Kelvin.

After finding the number of moles in one liter (to calculate density per liter), multiply by the molar mass of hydrogen to convert moles to grams. This will give you the density in grams per liter (g/L).

The density equation from the Ideal Gas Law is density (d) = (P * M) / (R * T), where M is the molar mass of H2, which is approximately 2.016 g/mol. Ensure you use the appropriate R value corresponding to the units of P and volume.

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