calculate for the specific heat with the given information Data:Mcal327.9gThot100.0 oC+ W15.4gTcool = 20.1 oC%3Dcal312.5g772.2gMwTfinal = 40.4 oCMsamAnalysis:Finding the specific heat by the method of mixtures assumes that the energy lost by the coolingmetal is gained by the water as the mixture comes to thermal equilibrium. The energy gained bythe styrofoam cup is assumed to be negligible. Energy lost to the surroundings can also beignored if the experiment is carried out correctly and quickly.Therefore: Quantity of energy lost by the sample = Quantity gained by water.%3D(Msam)(Csam)(Thot- Trinal) = (Mwater)(Cwater) (Tfinal – Tcool)C.water= 1cal/go CUse your data, algebra, and the above equation to find the specific heat of the sample in cal/go C.Show your work below.= [(Mwater) (1cal/go C) (T final-T cold)]/ [(M am) (T hot -T final )] =sam

Energy lost by the cooling metal should be equal to the energy gained by water.

Answered: Meal + w = 327.9g 15.4g Thot = 100.0 oC…

Science

Physics

Meal + w = 327.9g 15.4g Thot = 100.0 oC M Tcool = 20.1 oC cal 312.5g 772.2g Mw Trinal = 40.4 o C M. sam

Principles of Physics: A Calculus-Based Text

5th Edition

ISBN:9781133104261

Author:Raymond A. Serway, John W. Jewett

Publisher:Raymond A. Serway, John W. Jewett

Chapter17: Energy In Thermal Processes: The First Law Of Thermodynamics

Section: Chapter Questions

Problem 81P

See similar textbooks

Similar questions

The thermal conductivities of human tissues vary greatly. Fat and skin have conductivities of about 0.20 W/m K and 0.020 W/m K, respectively, while other tissues inside the body have conductivities of about 0.50 W/m K. Assume that between the core region of the body and the skin sin face lies a skin layer of 1.0 mm, fat layer of 0.50 cm, and 3.2 cm of other tissues. (a) Find the R-factor for each of these layers, and the equivalent R-factor for all layers taken together, retaining two digits. (b) Find the rate of energy loss when the core temperature is 37C and the exterior temperature is 0C. Assume that both a protective layer of clothing and an insulating layer of unmoving air a absent, and a body area of 2.0 m2.
A 100-g piece of copper, initially at 95.0C, is dropped into 200 g of water contained in a 280-g aluminum can; the water and can are initially at 15.0C. What is the final temperature of the system? (Specific heats of copper and aluminum are 0.092 and 0.215 cal/g C. respectively.) (a) 16C (b) 18C (c) 24C (d) 26C (e) none of those answers
One easy way to reduce heating (and cooling) costs is to add extra insulation in the attic of a house. Suppose a single-story cubical house already had 15 cm of fiberglass insulation in the attic and in all the exterior surfaces. If you added an extra 8.0 cm of fiberglass to the attic, by what percentage would the heating cost of the house drop? Take the house to have dimensions 10 m by 15 m by 3.0 m. Ignore air infiltration and heat loss through windows and doors, and assume that the interior is uniformly at one temperature and the exterior is uniformly at another.
A high-end gas stove usually has at least one burner rated at 14 000 Btu/h. (a) If you place a 0.25-kg aluminum pot containing 2.0 liters of water at 20.C on this burner, how long will it take to bring the water to a boil, assuming all the heat from the burner goes into the pot? (b) Once boiling begins how much time is required to boil all the water out of the pot?
A 200.0 g metal container, insulated on the outside, holds 100.0 g of water in thermalequilibrium at 22.0 oC. A 21.0 g ice cube, at the melting point, is dropped into the water. Whenthermal equilibrium is reached, the temperature is 15.0 °C. Assuming there is no heat exchangewith the surroundings, calculate the specific heat for the metal.[Given cwater = 4186.0 J/kg*K and Lf = 3.34 *10^5 J/kg]
Solar radiation is incident on a 5 m2 solar absorberplate surface at a rate of 800 W/m2. Ninety-three percent ofthe solar radiation is absorbed by the absorber plate, whilethe remaining 7 percent is reflected away. The solar absorberplate has a surface temperature of 40°C with an emissivityof 0.9 that experiences radiation exchange with the surroundingtemperature of -5°C. In addition, convective heat transferoccurs between the absorber plate surface and the ambientair of 20°C with a convection heat transfer coefficient of7 W/m2∙K. Determine the efficiency of the solar absorber,which is defined as the ratio of the usable heat collected bythe absorber to the incident solar radiation on the absorber.
A 400.0 gg chunk of an unknown metal, which has been in boiling water for several minutes, is quickly dropped into an insulating Styrofoam beaker containing 1.20 kgkg of water at room temperature (20.0∘C∘C). After waiting and gently stirring for 5.00 minutes, you observe that the water's temperature has reached a constant value of 22.0 ∘C∘C. Assuming that the Styrofoam absorbs a negligibly small amount of heat and that no heat was lost to the surroundings, what is the specific heat of the metal? Express your answer in Joules per kilogram-Kelvin.
The roof of an electrically heated home is 12m long, 16m wide, and 0.50mthick, and is made of a flat layer concrete whose thermal conductivity isk=0.8W/m 2 ·°C. The temperature of the inner and outer surfaces of the roofone night are measured to be 12°C and 1°C, respectively, for a period of 12hours. Determine a) the rate of heat loss through the roof that night b) thecost of that heat loss to the home owner if the cost of electricity is$0.14/kWh.
A bilayer polymer swab (1.2 m long, 1.4 m wide, 5 cm thick) is placed on a hot plate,?which keeps the side of the slab touching the hot plate at 105 deg C. The thermal conductivity of layer 1 (2cm thick) is 0.44 W/ m-K and the thermal conductivity of Layer 2 ( 3cm thick) is 0.67 W/m-K. If the air surrounding the slab is 27 degree C and the convective heat transfer coefficient between the top of the slab and the air is 19W/m^2-K. What is the rate of heat transfer from the side of the slab touching the hot plate to air?
A 0.217 kg sample of tin initially at 96.9◦Cis dropped into 0.112 kg of water initially at10.2◦C.If the specific heat capacity of tin is230 J/kg ·◦C, what is the final equilibriumtemperature of the tin-water mixture? Thespecific heat of water is 4186 J/kg ·◦C.Answer in units of ◦C.
A 2.7 kg lump of aluminum is heated to 93oC and then dropped into 9.0 kg of water at 5.2oC. Assuming that the lump–water system is thermally isolated, what is the system's equilibrium temperature? Assume the specific heats of water and aluminum are 4186 and 900 J/kg-K, respectively.
A fluid called F has the same properties as water but its freezing point is 10degC and its boiling point is 777degC. Now, consider a frozen fluid F of mass M kg with temperature T1degC(T1<10degC.) How much energy is needed so that the frozen fluid F will be converted into steam of temperature T2degC(T2>777degC)? The latent heat of fusion of fluid F is H0 J/kgdegC and the latent heat of vaporization is Hx J/kg. Show complete solution.