There is nitrogen in a closed vessel. How much the root mean square velocity of nitrogen molecules will change

| May 26, 2021 | education

There is nitrogen in a closed vessel. How much the root mean square velocity of nitrogen molecules will change if the temperature in the vessel is increased from 17 to 47 degrees Celsius. In a closed vessel there is nitrogen. How much the root mean square velocity of nitrogen molecules will change if the temperature in the vessel is increased from 17 to 47 degrees Celsius.

To determine the change (increase) in the root mean square velocity of nitrogen molecules in a taken closed vessel, we use the formula: ΔV = √ (3 * R * Tc / MN2) – √ (3 * R * Tn / MN2).

Data: R – univers. gas constant (R = 8.31 J / (K * mol)); Tк – final temperature of nitrogen (Tк = 320 К (47 ºС)); Tn – initial temperature (Tn = 290 K (17 ºС)); MN2 – molar mass (MN2 = 2.8 * 10-2 kg / mol).

Let’s calculate: ΔV = √ (3 * R * Tк / МN2) – √ (3 * R * Тн / МN2) = √ (3 * 8.31 * 320 / (2.8 * 10-2)) – √ ( 3 * 8.31 * 290 / (2.8 * 10-2)) = 25.6 m / s.

Answer: The root mean square speed will change (increase) by 25.6 m / s.



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