Final answer:
The root mean square speed of carbon dioxide molecules at 98°C is approximately 236 m/s.
Step-by-step explanation:
The root mean square speed of carbon dioxide molecules at 98°C can be calculated using the formula:
v = √(3kT/m)
where v is the root mean square speed, k is the Boltzmann constant (1.38 x 10^-23 J/K), T is the temperature in Kelvin, and m is the molar mass of carbon dioxide (44 g/mol).
First, we convert the temperature from Celsius to Kelvin:
T(K) = 98°C + 273.15 = 371.15 K
Plugging in the values:
v = √(3 * 1.38 x 10^-23 J/K * 371.15 K / 0.044 kg/mol)
Simplifying the equation, we find that the root mean square speed of carbon dioxide molecules at 98°C is approximately 236 m/s.
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