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Ch.10 - Gases
Brown - Chemistry: The Central Science 14th Edition
Brown14th EditionChemistry: The Central ScienceISBN: 9780134414232Non è quello che usi tu?Cambia libro di testo
Capitolo 10, Problema 103

Nickel carbonyl, Ni1CO24, is one of the most toxic substances known. The present maximum allowable concentration in laboratory air during an 8-hr workday is 1 ppb (parts per billion) by volume, which means that there is one mole of Ni1CO24 for every 109 moles of gas. Assume 24 C and 101.3 kPa pressure. What mass of Ni1CO24 is allowable in a laboratory room that is 3.5 m * 6.0 m * 2.5 m?

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Calculate the volume of the laboratory room in cubic meters by multiplying the length, width, and height of the room: Volume = 3.5 m * 6.0 m * 2.5 m.
Convert the volume from cubic meters to liters, knowing that 1 cubic meter equals 1000 liters.
Use the ideal gas law to calculate the total number of moles of air in the room at 24°C and 101.3 kPa. The ideal gas law is PV = nRT, where P is the pressure, V is the volume, n is the number of moles, R is the gas constant (0.0821 L·atm/K·mol), and T is the temperature in Kelvin.
Calculate the number of moles of Ni(CO)4 allowed in the room by using the ppb concentration: 1 ppb means 1 mole of Ni(CO)4 per 10^9 moles of air.
Convert the moles of Ni(CO)4 to mass using its molar mass. The molar mass of Ni(CO)4 can be calculated by adding the atomic masses of Nickel and Carbon monoxide (Ni + 4 * CO).

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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 number of moles of gas present in a given volume under specific conditions of temperature and pressure, which is crucial for determining the allowable concentration of nickel carbonyl in the laboratory air.
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Ideal Gas Law Formula

Concentration Units

Concentration can be expressed in various units, including parts per billion (ppb), which indicates the number of moles of a substance per billion moles of gas. Understanding how to convert between concentration units and relate them to volume and mass is vital for calculating the permissible mass of nickel carbonyl in the given laboratory space.
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Molar Mass

Molar mass is the mass of one mole of a substance, typically expressed in grams per mole (g/mol). For nickel carbonyl (Ni(CO)4), knowing its molar mass allows for the conversion of moles to grams, enabling the calculation of the total mass of the substance that can be present in the laboratory air at the specified concentration.
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Molar Mass Concept
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