An inventor develops a stationary cycling device by which an individual,while pedaling,can convert all of the energy expended into heat for warming water.How much mechanical energy is required to increase the temperature of 200 g of water (enough for 1 cup of coffee) from 22°C to 96°C? (1 cal = 4.186 J,the specific heat of water is 4 186 J/kg⋅°C)

Question

An inventor develops a stationary cycling device by which an individual,while pedaling,can convert all of the energy expended into heat for warming water.How much mechanical energy is required to increase the temperature of 200 g of water (enough for 1 cup of coffee)from 22°C to 96°C? (1 cal = 4.186 J,the specific heat of water is 4 186 J/kg⋅°C)
​

Quizplus · Accepted Answer

The formula to calculate the energy required to increase the temperature of a substance is:

E = m x c x ΔT

Where:
E = energy (in joules)
m = mass of the substance (in kg)
c = specific heat of the substance (in J/kg⋅°C)
ΔT = change in temperature (in °C)

Substituting the given values, we get:

E = 0.2 kg x 4,186 J/kg⋅°C x (96°C - 22°C)
E = 62,000 J

Therefore, the answer is A) 62,000 J, as this is the amount of mechanical energy required to warm the water as described in the problem.

An Inventor Develops a Stationary Cycling Device by Which an Individual,while