KCET 2025 Physics Paper

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:
‌

E1

E2

=‌

T1

T2

To find E2, we can rearrange this equation:
E2=E1‌

T2

T1

Converting the given temperatures from Celsius to Kelvin:
Initial temperature, T1=27∘C+273=300K
Final temperature, T2=327∘C+273=600K
Substituting these values into the equation:
E2=E1(‌

600

300

)=E1×2=2E1
Therefore, when the temperature increases to 327∘C, the mean kinetic energy of the atoms will be 2E1.