Question

Using E = m x c x θ, calculate the energy needed to increase the temperature of 500g of water from 25°C to 100°C. The specific heat capacity of water (c) is 4200J/kg°C

Answer 1

To calculate the energy needed to increase the temperature of the water, we will use the formula:

E = m x c x Δθ

where
E = energy (in joules)
m = mass of the water (in kilograms)
c = specific heat capacity of water (in joules per kilogram per degree Celsius)
Δθ = change in temperature (in degrees Celsius)

Given:
m = 500g = 0.5kg
c = 4200J/kg°C
Δθ = 100°C - 25°C = 75°C

Plugging in the values into the formula:

E = 0.5kg x 4200J/kg°C x 75°C
E = 0.5kg x 4200J/kg°C x 75°C
E = 157500J

Therefore, the energy needed to increase the temperature of 500g of water from 25°C to 100°C is 157500J.