What is the total kinetic energy of 1.70 moles of N2 at 30.0 celsius?
What formula do I use?
To calculate the total kinetic energy of a gas molecule, you can use the formula:
KE = (3/2) * n * R * T
Where:
- KE is the total kinetic energy,
- n is the number of moles of gas,
- R is the gas constant, which approximately equals 8.314 J/mol∙K,
- T is the temperature in Kelvin.
To convert the temperature from Celsius to Kelvin, you can use the formula:
T(Kelvin) = T(Celsius) + 273.15
In this case, you have 1.70 moles of N2 at 30.0 degrees Celsius. Let's calculate the total kinetic energy.
1. Convert temperature to Kelvin: T(Kelvin) = 30.0 + 273.15 = 303.15 K
2. Substitute the values into the formula:
KE = (3/2) * n * R * T
KE = (3/2) * 1.70 * 8.314 J/mol∙K * 303.15 K
Now you can calculate the total kinetic energy.