8.0 g of cream at 17.0 °C are added to an insulated cup containing 150.0 g of coffee at 73.2 °C. Calculate the equilibrium temperature of the coffee. You may assume no heat is lost to the cup or surroundings, and that any physical properties of cream and coffee you need are the same as those of water. Be sure your answer has the correct number of significant digits

The equilibrium temperature of the coffee is 70.4  °C

Explanation:

Step 1: Data given

Mass of cream = 8.0 grams

Temperature of the cream = 17.0°C

Mass of the coffee = 150.0 grams

Temperature of the coffee = 73.2 °C

C = respective specific heat of the substances( same as water) = 4.184 J/g°C

Step 2: Calculate the equilibrium temperature

m(cream)*C*(ΔT) = -m(coffee)*c*(T2-T1)

⇒with m(cream) = the mass of cream = 8.0 grams

⇒with C = the specific heat of cream = 4.184 J/g°C

⇒with ΔT(cream) = T2 - T1 = T2 - 17.0°C

⇒with m(coffee) = the mass of coffee = 150.0 grams

⇒with C(coffee) = the specific heat of coffee = 4.184 J/g°C

⇒with ΔT(coffee) = T2 - T1 = T2 - 73.2 °C

8.0 g* 4.184 J/g°C *(T2 - 17.0°C) = -150.0g *4.184 J/g°C*(T2-73.2°C)

8.0 g*(T2 - 17.0°C) = -150.0g *(T2-73.2°C)

8T2 - 136 = -150T2 +10980

158T2 = 11116

T2 = 70.4 °C

The equilibrium temperature of the coffee is 70.4  °C

kuchisake

kuchisake-onna (口裂け女, "slit mouth woman ") is a malevolent figure appearing in japanese ghost stories, possibly dating back to the edo period. she takes the form of a masked woman who approaches people and asks them if they believe she is pretty.

explanation:

first let us lay out the formula for potential

and kinetic energy:

pe = mgh

ke = (mv^2)/2

where: m=mass, v=velocity, g=gravitational

acceleration, h=height

calculating for mass using the known values of

pe:

340j = m (9.81 m/s^2) (50ft) (1m/3.28ft)

m = 2.27 kg

the law of conservation of energy states that

energy is neither created nor destroyed. therefore, the change in kinetic

energy from 50 ft to 35 ft would be equal to the change in potential energy

from 50 ft to 35 ft. however it would be opposite in signs since one is losing

while other is gaining.

ke(35ft) – ke(50ft) = - [ pe(35ft) – pe(50ft]

ke(50ft) = 0 since the brick is initially at rest

ke(35ft) = 340j - 2.27kg (9.81 m/s^2) (35ft)

(1m/3.28 ft)

ke(35ft)

= 102.38 j