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Answer :
Final answer:
The number of grams of Kr in the cylinder can be calculated by using the ideal gas law equation PV=nRT. First, convert the temperature to Kelvin, then solve for the number of moles. Finally, multiply the number of moles by the molar mass of Kr to get the mass in grams.
Explanation:
To calculate the number of grams of Kr (krypton) in the cylinder, we are required to use the ideal gas law. The ideal gas law equation is PV=nRT. In this equation, P represents pressure, V is volume, n is the number of moles, R is the ideal gas constant, and T is temperature in Kelvin.
First, we need to adjust the temperature from Celsius to Kelvin with the equation T(K) = T(°C) + 273.15. So, 97.8°C converts to 371K approximately.
Then we can substitute the values into the equation: (3.00 atm) * (4.73 L) = n * (0.0821 L*atm/(K*mol)) * (371 K). From here, we can solve for n, the number of moles.
Once we have the number of moles, we can use the molar mass of Kr (83.80 g/mol) to finally get the mass in grams. Multiply the number of moles by the molar mass of Kr: mass = n * molar mass of Kr.
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