What is the final temperature when 32 grams of cream at 11 degrees Celsius is added to 350 grams of coffee at 85 degrees Celsius? Assume the specific heat of the two liquids are the same as water. Please show work.
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- Show all work for this question.I often make tea in my microwave oven. I know that it takes two minutes to bring the temperature of a cupof water from room temperature to just about boiling: ready for the teabag. I looked up the characteristics ofa microwave oven. Typically their power rating is about 1000 W, but I know that this is the power consumedfrom the power company, not the power delivered to the water. I looked up the efficiency of microwave ovens,and found that it is about 64%, meaning that a typical oven delivers 640 W to the water. I also looked up thefrequency of the microwaves that an oven uses, and found thatf= 2,450 MHz.(a) How much energy is delivered to the water in the making of a cup of tea?(b) What is the wavelength of the microwave?(c) What is the energy of one microwave photon?(d) How many microwave photons are absorbed by the water in making a cup of tea?Use full solutions, showing all work and equations. Calculate the quantity of heat required to warm 1.25 L of water from 22.0°C to 98.0°C in an electric kettle.A 73-kg cross-country skier glides over snow as in the figure below. The coefficient of friction between skis and snow is 0.23. Assume all the snow beneath her skis is at 0°C and that all the internal energy generated by friction is added to snow, which sticks to her skis until it melts. How far would she have to ski to melt 1.5 kg of snow? Step 1 The snow is already at the melting temperature of 0°C so the energy Q that must be added to convert a kilogram of snow into liquid water at 0°C is given by the following equation, where m is the mass to be converted and L is the latent heat of fusion of water. Q = mL f kg)(3.33 (3.33 × 105 J/kg) x 105 J technotr/iStockphoto.com
- Direction: Solve the following problems. Please box your final answer and write your solution clearly. A cargo ship has tanks for carrying fuel oil. The oil is measured in barrels, while the tank dimensions are in meters, 1m x 5m x 15m. How many barrels does the tank hold? How many gallons? (42 gal = 1 barrel) In a non-flow process carried out 5.4 kg substance, there was a specified internal energy decrease of 50 kJ/kg and a work transfer of the substance of 8.5 kJ/kg. Determine the heat transfer and a state whether it is gain or loss.Solve the following problems given. Refer your data on specific and latent heat on the following tables. How much heat is released to turn 500 grams of water into solid ice? Determine the amount of heat released to change 0.25Kg of water vapor at 115⁰C to solid ice at 0⁰C?An ideal gas initially at pressure P0, volume V0, and temperature T0 is taken through the cycle described in the figure below. (Assume n = 4 and m = 7.) A rectangular path is plotted on a PV diagram that has a horizontal axis labeled V, and a vertical axis labeled P. The area inside the rectangle is shaded. The path is clockwise and runs through corner points A–D in the following order: A (V0, P0), B (V0, nP0), C (mV0, nP0), D (mV0, P0). (a) Find the net work done by the gas per cycle in terms of P0 and V0. (Substitute numeric values for n and m, do not use the variables n and m.)Wenv=(b) What is the net energy Q added to the system per cycle? (Use the following as necessary: P0 and V0.)Q = (c) Obtain a numerical value for the net work done per cycle for 1.00 mol of gas initially at 0°C. Hint: Recall that the work done by the system equals the area under a PV curve. kJ
- In the pV diagram shown in the figure (Figure 1), 80.0 J of work was done by 0.0610 mole of ideal gas during an adiabatic process. a) How much heat entered or left this gas from a to b? Express your answer in joules. b) By how many joules did the internal energy of the gas change? Express your answer in joules. c) What is the temperature of the gas at b? Express your answer in kelvins.A 58-kg cross-country skier glides over snow as in the figure below. The coefficient of friction between skis and snow is 0.18. Assume all the snow beneath her skis is at 0°C and that all the internal energy generated by friction is added to snow, which sticks to her skis until it melts. How far would she have to ski to melt 1.5 kg of snow?The titanium shell of an SR-71 airplane would expand when flying at a speed exceeding 3 times the speed of sound. If the skin of the plane is 400 degrees C and the linear coefficient of expansion for titanium is 5x10-6 /C when flying at 3 times the speed of sound, how much would a 10-meter long (originally at 0C) portion of the airplane expand? Write your final answer in centimeters and show all of your work.
- The graph above shows how a 0.68-kg sample cools down with time. If heat is constantly being removed at 2.17 W, what is the specific heat capacity of the sample? First pick any two points on the graph: convert the time difference for those two points into an energy difference by the relation between power and energy. This energy is the heat transfer, so finally, relate the heat transfer to the temperature difference between the two points, using the relations in the reading.Converting sunlight to electricity with solar cells has an efficiency of 15%. It's possible to achieve a higher efficiency (though currently at higher cost) by using concentrated sunlight as the hot reservoir of a heat engine. Each dish in (Figure 1) concentrates sunlight on one side of a heat engine, producing a hot-reservoir temperature of 560 ∘C. The cold reservoir, ambient air, is approximately 30 ∘C. The actual working efficiency of this device is 30%. What is the theoretical maximum efficiency?Calculate the actual work done on the 200 g mass using W = mgh. Be careful to use only the change in height of the mass. How does this compare to the work done by the gas from step C? Does the gas do any work other than lifting the 200 g mass? The given, instructions, and calculations are all indicated in the image.