Which gas has the greatest kinetic energy?
a) neon at a temperature of 200k
b) neon at a temperature of 300k
c) neon at a temperature of 400k
d) neon at a temperature of 500k
e) neon at a temperature of 600k
f) none of the above (they all have the same kinetic energy)
Temperature is a measure of KE
To determine which gas has the greatest kinetic energy, we need to consider the kinetic theory of gases. According to this theory, the average kinetic energy of gas molecules is directly proportional to their temperature.
The formula to calculate the average kinetic energy of a gas molecule is given by:
KE = (3/2) kT
Where:
KE = average kinetic energy
k = Boltzmann constant (1.38 × 10^-23 J/K)
T = temperature in Kelvin (K)
By looking at the given options of different temperatures for neon gas, we can calculate the average kinetic energy for each case and compare them.
a) neon at a temperature of 200 K:
KE = (3/2) * (1.38 × 10^-23 J/K) * 200 K
b) neon at a temperature of 300 K:
KE = (3/2) * (1.38 × 10^-23 J/K) * 300 K
c) neon at a temperature of 400 K:
KE = (3/2) * (1.38 × 10^-23 J/K) * 400 K
d) neon at a temperature of 500 K:
KE = (3/2) * (1.38 × 10^-23 J/K) * 500 K
e) neon at a temperature of 600 K:
KE = (3/2) * (1.38 × 10^-23 J/K) * 600 K
By calculating the kinetic energy for each case, we can determine which gas has the greatest kinetic energy.