Heat transfer

We placed a lead object weighing 0.4 kg and 250°C in 0.4 L water. What was the initial temperature of water t2 if the object's temperature and the water after reaching equilibrium was 35°C? We assume that the heat exchange occurred only between the lead object and water. The mass heat capacity of lead is 130 J/kg / °C. The mass heat capacity of water is 4200 J/kg / °C.

Correct answer:

t2 =  28.3452 °C

Step-by-step explanation:

m1=0.4 kg t1=250V2=0.4 l t=35c1=130 J/kg/c2=4200 J/kg/ρ2=1 kg/l  m2=ρ2 V2=1 0.4=25=0.4 kg  Q1=Q2   m1 c1 (t1t)=m2 c2 (tt2) 0.4 130 (25035)=0.4 4200 (35t2)  1680t2=47620  t2=23818428.345238=28.3452C

We will be pleased if You send us any improvements to this math problem. Thank you!


Tips to related online calculators
Do you know the volume and unit volume, and want to convert volume units?
Tip: Our Density units converter will help you with the conversion of density units.
Do you want to convert mass units?

Related math problems and questions:

  • The aluminum
    sphere_Nickel The aluminum object with a weight of 0.80 kg and a temperature of 250°C was placed in the water with a weight of 1.6 kg and a temperature of 23°C. What is the system temperature after reaching equilibrium? We assume that the heat exchange occurred only be
  • The bath
    watermixing The bath has water with a volume of 220 l and a temperature of 65°C. Determine the mass m2 of water at 15°C to be poured so that the resulting temperature of the water in the bath is 40°C. We neglect the heat exchange between water and the environment. T
  • Electric cooker
     electric cooker During which time t does an electric cooker with power input P = 500 W and with efficiency n = 75% heat water with mass m = 2 kg and temperature t1 = 10°C to the boiling point (t2 = 100°C). The specific heat capacity of water is c = 4 180 J. Kg-1. K-1
  • Receiving heat
    teplomer How many degrees Celsius was an iron cylinder weighing 300 g heated in a water bath if it received heat of 7.2 kJ? (specific heat capacity of iron c = 0.46kJ/kg / ºC)
  • Swing
    hojdačka22 A child weighing 12 kg is sitting on a swing at a distance of 130 cm from the rotation axis. How far away from the rotation (center) axis must sit down his mother weighs 57 kg if she wants to be a swing in balance?
  • Cuboid 5
    drevo_1 Calculate the mass of the cuboid with dimensions of 12 cm; 0.8 dm and 100 mm made from spruce wood (density = 550 kg/m3).
  • Water temperatures
    water2 To 25 liters of water at 50 °C we add 15 liters of water at a different temperature. How many °C should the water be colder than 50 °C so that 40 liters of the water obtained has a temperature 42.5 °C?
  • Bath
    bathroom In the bath is 30 liters of hot water. Then added 36 liters of cold water at temperature of 19 °C decreased temperature of water to 41 °C. What was the initial temperature of the hot water?
  • Hydrostatic force
    water3_5 What is the hydrostatic force applied to an area of 30 cm2 in the water at a depth of 20 m? (Water density is 1000 kg/m3)
  • Mixing water
    teplomer_17 The 30-liter container should we fill with water at 60 degrees Celsius. How many liters of water 80 degrees C hot and how many liters of water 20 degrees Celsius warm we have to mix?
  • Water mixing
    teplomer_1 There are 5 liters of water at 75°C in the pot, how much water at 10°C do we have to add to the resulting temperature of 55°C?
  • Ice floe
    ice_cubes What is the volume of an ice floe weighing 326 kg? The density of ice is only 920 kg/m3.
  • Floating of wood - Archimedes law
    balza05 What will be the volume of the floating part of a wooden (balsa) block with a density of 200 kg/m3 and a volume of 0.02 m3 that floats in alcohol? (alcohol density is 789 kg/m3)
  • Cork and swimming
    korek If a person weighs 80 kg, how many kilograms of cork must take a swimming belt to float on water? The density of the human body is 1050kg/m3 and cork 300kg/m3. (Instructions: Let the human body and cork on a mixture with a density of 1000kg/m3. When you m
  • Water mixing
    watermixing We have 520 ml of hot water and 640 ml of water at 48°C. What is the temperature of approximately hot water when the resulting mixture has a temperature of 65°C?
  • Foot area
    elephant_2 Which animal will leave deeper footstep: an elephant weighing 5 tons with a total foot area of 0.5 square meters, or a gazelle weighing 10 kg and a foot area of 50 cm square?
  • The pool
    bazen2_7 The pool has a volume of 40 m3, and the water temperature is 20 °C. How much water at 100 °C should we pour into the pool to increase the water temperature by 5 °C?