The mean kinetic energy of the atoms in an ideal gas is directly proportional to the temperature measured in Kelvin. At an initial temperature of
27∘C, the mean kinetic energy is
E1. When the temperature is increased to
327∘C, we can determine the new mean kinetic energy
E2 using the relationship:
‌=‌ To find
E2, we can rearrange this equation:
E2=E1‌ Converting the given temperatures from Celsius to Kelvin:
Initial temperature,
T1=27∘C+273=300KFinal temperature,
T2=327∘C+273=600KSubstituting these values into the equation:
E2=E1(‌)=E1×2=2E1Therefore, when the temperature increases to
327∘C, the mean kinetic energy of the atoms will be
2E1.