Temperature Conversion:
To calculate the rise in temperature on the Fahrenheit and Kelvin scales, we need to convert the given temperatures from Celsius to the respective scales.

Given data:
Initial temperature (T1) = 25°C
Final temperature (T2) = 35°C

Converting to Fahrenheit:
We can use the formula:
F = (9/5)C + 32

Substituting the initial temperature into the formula:
F1 = (9/5) * 25 + 32
F1 = 45 + 32
F1 = 77°F

Substituting the final temperature into the formula:
F2 = (9/5) * 35 + 32
F2 = 63 + 32
F2 = 95°F

Rise in temperature on the Fahrenheit scale:
The rise in temperature on the Fahrenheit scale is the difference between the final and initial temperatures:
ΔF = F2 - F1
ΔF = 95°F - 77°F
ΔF = 18°F

Converting to Kelvin:
We can use the formula:
K = C + 273.15

Substituting the initial temperature into the formula:
K1 = 25 + 273.15
K1 = 298.15 K

Substituting the final temperature into the formula:
K2 = 35 + 273.15
K2 = 308.15 K

Rise in temperature on the Kelvin scale:
The rise in temperature on the Kelvin scale is the difference between the final and initial temperatures:
ΔK = K2 - K1
ΔK = 308.15 K - 298.15 K
ΔK = 10 K

Summary:
- The rise in temperature on the Fahrenheit scale is 18°F.
- The rise in temperature on the Kelvin scale is 10 K.

By following the given rules, the above answer provides a detailed explanation of the calculations involved and presents the temperature conversion results clearly.