phys

posted by .

A town is planning on using the water flowing through a river at a rate of 4.9 106 kg/s to carry away the heat from a new power plant. Environmental studies indicate that the temperature of the river should only increase by 0.50° C. The maximum design efficiency for this plant is 32.0%. What is the maximum possible power this plant can produce?

  • phys -

    Thermal power is rate of thermal energy.

    P = (thermal energy) / (time) = Q/t =
    = m•c•ΔT / t
    = (m/t) • (c) • (ΔT)
    Here m/t = 4.9•10^6 kg/s
    c = specific heat of water = 4186 J/kg•C
    ΔT = change in the temperature = 0.50 °C
    Substituting all these values in the equation we get
    P = 4.9•10^6 •4186 •0.50 =
    = 1.02557•10^10 W =10.2557 GW.

    Ans. 0.32 •10.2557 GW = 3.28GW

  • phys -

    Thermal power is rate of thermal energy.

    P = (thermal energy) / (time) = Q/t =
    = m•c•ΔT / t
    = (m/t) • (c) • (ΔT)
    Here m/t = 4.9•10^6 kg/s
    c = specific heat of water = 4186 J/kg•C
    ΔT = change in the temperature = 0.50 °C
    Substituting all these values in the equation we get
    P = 4.9•10^6 •4186 •0.50 =
    = 1.02557•10^10 W =10.2557 GW.

    Ans. 0.32 •10.2557 GW = 3.28GW

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. PHYSICS NEED HELP FAST

    A power plant has a power output of 1055 MW and operates with an efficiency of 33.0 percent. Excess energy is carried away as heat from the plant to a nearby river that has a flow rate of 1.1 x 10^6 kg/s. How much energy is transferred …
  2. Social studies

    What is the difference between east flowing river and west flowing river on the basis of peninsular river?
  3. Physics

    A nuclear power plant has an electrical power output of 1200 MW and operates with an efficiency of 31%. If excess energy is carried away from the plant by a river with a flow rate of 1.0 multiplied by 10^6 kg/s, what is the rise in …
  4. Physics

    A nuclear power plant has an electrical power output of 1200 MW and operates with an efficiency of 31%. If excess energy is carried away from the plant by a river with a flow rate of 1.0 multiplied by 10^6 kg/s, what is the rise in …
  5. Physics

    A nuclear power plant has an electrical power output of 1200 MW and operates with an efficiency of 31%. If excess energy is carried away from the plant by a river with a flow rate of 1.0 x 10^6 kg/s, what is the rise in temperature …
  6. physics

    A town is planning on using the water flowing through a river at a rate of 5.0X10^6 kg/s to carry away the heat from a new power plant. Environmental studies indicate that the temperature of the river should only increase by 0.50ºC. …
  7. Physics

    A fossil-fuel power plant that generates 1000MW of electrical power discharges 1600MJ per second as waste heat into the river. A)At what rate(in MW) is thermal energy obtained fromt the burning of coal?
  8. Science

    Alex threw a stick in a river and watched as the river carried it away. He scooped a pail of water from the river and noticed that a leaf was floating in the pail without moving on the surface of the water. Why did the stick move in …
  9. physics

    A nuclear power plant has an electrical power output of 1900 MW and operates with an efficiency of 32%. If excess energy is carried away from the plant by a river with a flow rate of 1.0 106 kg/s, what is the rise in temperature of …
  10. Chemistry

    A Power plant rated at 800 MegaWatts generates steam at 585 K and discards heat to a river at 295 K. If thermal efficiency of plant is 70% of maximum value, how much heat is discarded to river at rated power?

More Similar Questions