Find the total kinetic energy content of 1.55 moles of an ideal gas at temperature 435 K
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To find the total kinetic energy content of a gas, we can use the equation:
Kinetic Energy = (3/2) * n * R * T
Where:
- Kinetic Energy is the total kinetic energy of the gas
- n is the number of moles of the gas
- R is the gas constant (8.314 J/(mol·K))
- T is the temperature in Kelvin
Let's plug in the values to calculate the total kinetic energy:
n = 1.55 moles
R = 8.314 J/(mol·K)
T = 435 K
Kinetic Energy = (3/2) * n * R * T
Kinetic Energy = (3/2) * 1.55 * 8.314 * 435
Now, let's calculate:
Kinetic Energy ≈ 8,840.216 J
Therefore, the total kinetic energy content of 1.55 moles of the ideal gas at a temperature of 435 K is approximately 8,840.216 Joules.