The amount of energy released by burning a fuel source, measured in energy per mass, is called the fuel value. if all the energy obtained from burning 1.21 pounds of butane (fuel value is 10.85 kcal/g) is used to heat 123.0 kg of water at an initial temperature of 18.0 °c, what is the final temperature?

66°C

Explanation:

Energy obtained from burning 1.21 pounds of butane gives a fuel value of 10.85 kcal/g

mass of water = 123.0kg

Initial temperature = 18.0°C

Final temperature = α

Energy released from burning butane is used to heat water to the final temperature

Energy released = Q released

Q released = 1.21 * 453.59 * 10.85

= 5954.96J

Energy needed = Q needed

Q needed = 123 * 1 * (α - 18)

= 123(α - 18)

Q needed = Q released

123(α - 18) = 5954.96

α - 18 = 5954.89/123

α - 18 = 48.41

α = 48.41 + 18

α = 66.41

α = 66° C (approximately)

gas and liquid

d₁ = displacement of tern from arctic to antarctic = 11000 miles

d₂ = displacement of tern from antarctic to arctic =   - 11000 miles

d = total displacement for the journey

total displacement for the journey is given as

d = d₁ + d₂

d = 11000 + (-11000)

d = 0 miles

t₁ = time of travel from arctic to antarctic = 3 months = 3 x 30 days = 90 days

t₂ = time of travel from antarctic to arctic = 3 months = 3 x 30 days = 90 days

t = total time of travel

total time of travel is given as

t = t₁ + t₂

t = 90 + 90

t = 180 days

average velocity is given as

average velocity = total displacement/ total time

v = d/t

v = 0/180

v = 0 miles/day