A calorimeter of mass 250 g contains 200 g of water. A 1000 w heater running for 5 minutes, heated this combination of liquid and calorimeter from 20°C to 80°C. Calculate the specific heat capacity of this calorimeter
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- A certain ideal gas has a molar specific heat of Cv = 72R. A 2.00-mol sample of the gas always starts at pressure 1.00 105 Pa and temperature 300 K. For each of the following processes, determine (a) the final pressure, (b) the final volume, (c) the final temperature, (d) the change in internal energy of the gas, (e) the energy added to the gas by heat, and (f) the work done on the gas. (i) The gas is heated at constant pressure to 400 K. (ii) The gas is heated at constant volume to 400 K. (iii) The gas is compressed at constant temperature to 1.20 105 Pa. (iv) The gas is compressed adiabatically to 1.20 105 Pa.A 1.00-mol sample of hydrogen gas is heated at constant pressure from 300 K to 420 K. Calculate (a) the energy transferred to the gas by heat, (b) the increase in its internal energy, and (c) the work done on the gas.The heat capacity of air at room temperature and pressure is approximately 21 J×mol-1×K-1. a) How much energy is required to raise the temperature of a room dimensions 5.5 m x 6.5 m x 3.0 m by 10°C from room temperature (298.15 K) assuming ideal behavior? b) How long will it take a heater rated at 1.5 kW to achieve that increase if 1 W = 1 J×s-1 (assuming no loss)?
- A classroom has dimensions 8.00 m x 10.00 m x 3.00 m. A 1000 W electric space heater is being used to warm the room from 5.00°C to 20.00°C on a cold morning. If the density of air is 1.29 kg/m°, and the specific heat capacity of air is 1004 J/(kg-K), how long will it take to heat the room? Assume no loss of thermal energy to the surroundings. A) 1.30 minutes B) 241 minutes C) 45.3 minutes O D) 77.7 minutesFive people, all about equal masses, are in a perfectly sealed room in which the air conditioner is operating. The air conditioner removes heat at the rate of 500 kcal/h, maintaining a constant temperature. a) What is the average heat output per hour of each person in the room? b) What is the power rating in watts for an electric light bulb that puts out energy at the same rate as one of the individuals?A solar panel receives energy from the Sun at a rate of 5.0 kW.Thermal energy is transferred from the solar panel to water with an efficiency of 20%.Coldwater of mass 15 kg enters the solar panel every hour.The specific heat capacity of water is 4200 J/(kg °C).Calculate the temperature increase of the water.
- The specific heat of water is 4186 J/kg c°. How much does the internal energy of 200 g of water change as it is heated from 20°c to 30°c? Assume the volume is constant.A 0.288-kg coffee mug is made from a material that has a specific heat capacity of 930 J/kg C° and contains 0.319 kg of water. The cup and water are at 25.6 °C. To make a cup of coffee, a small electric heater is immersed in the water and brings it to a boil in two minutes. Assume that the cup and water always have the same temperature and determine the minimum power rating of this heater. Number i Unitsa) The power of the immersion heater is 120 Watts. In 10 minutes, the reading falls from 482g to 474g. What is the specific latent heat of water? b) 5.7MJ of heat energy is supplied to 30kg of aluminium that is initially at a temperature of 20°C .If the specific heat capacity of aluminium is 950J/kg °C, determine its final temperature ?
- A classroom that normally contains 40 people is to be air-conditioned with window air-conditioning units of 5-kW cooling capacity. A person at rest may be assumed to dissipate heat at a rate of about 360 kJ/h. There are 10 lightbulbs in the room, each with a rating of 100 W. The rate of heat transfer to the classroom through the walls and the windows is estimated to be 15,000 kJ/h. If the room air is to be maintained at a constant temperature of 21°C, determine the number of window air-conditioning units required.The temperatures shown in the figure have been determined via 2-dimensional finite difference analysis for the boundary conditions shown. What is the total heat transfer going out of the system? Ax = Ay = 19 cm. Express your answer in W. h = 35 W/m² K T=30°C convection boundary 2 49.52°C T = 100°C 5 84.69°C 1 T = 120°C Insulated 47.87°C 4 81.18°C 3 59.93°C 6 97.86°CNo heat losses exist in this task. Hampus is concerned about the expensive electricity price. Stingy as he is, he tells his daughter that she is not allowed to bathe in the bathtub. Assume that the water temperature entering the house is 5.0°C. For the bath to be pleasant, the bath water must be 38°C. a) How much energy is needed to heat the water to 38°C in a bathtub of size 0.150 m³? b) How long does it take for the water heater to heat 0.150 m³ of water from 5.0°C to 38°C if it has an output of 1.0kW and an efficiency of n = 0.80 ? c) How much does a bath cost if the electricity price for 1 kWh is $5? Hampu's daughter does not care about the electricity price, so she pours a bath when Hampu is not at home. Unfortunately, the bath water is 45°C, so she adds cold water until the water is 38°C. d) How much 5°C cold water does she need to fill in the bathtub for the mixture to become 38°C? What does the third law of thermodynamics sound like?