Thermometer

Immerse a thermometer with a heat capacity of 2.0 J. K-1 in water weighing 67.0 grams. Before immersion in water, the thermometer showed a temperature of 17.8 degrees Celsius. After reaching equilibrium, the temperature is 32.4 degrees. What was the water temperature before the measurement?

Correct answer:

t =  32.505 °C

Step-by-step explanation:

m=67 g C=2.0 J/K c1=4.180 J/g/K t1=17.8t2=32.4t>t2>t1  m c1 (tt2)=C (tt1) 67 4.18 (t32.4)=2 (t17.8)  278.06t=9038.344  t=32.505013=32.505C



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






avatar




Tips to related online calculators
Do you have a linear equation or system of equations and looking for its solution? Or do you have a quadratic equation?

Related math problems and questions:

  • Heat transfer
    sphere_Nickel 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 o
  • 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
  • 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)
  • 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
  • Thermometer
    snehuliak The thermometer showed -3°C in the morning. Then the temperature was increased by 1°C again increased by 1°C and then decreased by 1°C and then decreased by 4°C. Which terminal temperature thermometer shows?
  • Electrics - conductor
    wire The wire is 106 meters long at 0 °C and at every temperature increase of 1 °C the length increases by 0.15 mm per 1 m length of wire. Determine a function which represents the overall length of the wire as a function of temperature. What is the length of
  • Weather
    weather_usa Weather. At 5:00 am, the temperature was 28°C, and at noontime, it rose by 9°C. By 4:00 pm, it dropped 3°C, and by nighttime, it was 4°C less. What is the room temperature this time?
  • 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?
  • Water
    tanks Mix 68 l of water with a temperature of 87 °C, 17 l warm of 42 °C, and 55 l water of 50 °C. What is the temperature of the mixed water immediately after mixing?
  • Thermometer
    teplomer The thermometer showed -12 degrees Celsius in the morning then the temperature rises by 4 degrees and later again increased by 2 degrees at the evening has fallen by 5 degrees and then falls 3 degrees. What end temperature does the thermometer show?
  • Temperature difference
    Libya Libya's highest temperature was recorded at 58 degrees Celsius, and the lowest was recorded at -88 degrees Celsius. What is the temperature difference?
  • Cooker
    kWMeter A current of 2A passes through the immersion cooker at a voltage of 230V. What work do the electric field forces in 2 minutes?
  • Mixing water
    teplomer 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?
  • Ophelia
    teplomer Ophelia recorded the temperature of a cold store every two hours. 1. At 6 am, it was -4°C, and at 8 am, it was -1°C. By how much did the temperature rise? 2. The temperature went up by 5°C in the next two hours. .What was the temperature at 10 am?
  • The pool
    bazen2 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?
  • The tub
    teplomer If we drop the 5 l from the first tap and the from second 2 liters of water, the water in the tub will have a temperature of 25°C. If we drop 3 l from the first tap and from second 4 l of water, the water in the tub will have a temperature of 21°C. Determ