Newton's law of cooling states that the temperature of an objectchanges at a rate proportional to the difference between itstemperature and that of its surroundings. Suppose that thetemperature of a cup of coffee obeys Newton's law of cooling. If thecoffee has a temperature of 180 °F when freshly poured, and 1 minlater has cooled to 170 °F in a room at 70 °F, determine when thecoffee reaches a temperature of 135 °F.Note: Enter the exact symbolic expression for the asked time.The coffee reaches the temperature 135 inminutes.

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Answered: Newton's law of cooling states that the…

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

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at 32 degree and 205 kpa gage the specific weight of a certain gas was 13.7 N\m3 Determine the constant of the gas
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The specific heat of copper is 0.093 cal/(g.°C) and the specific heat of gold is 0.031 cal/(g.°C). If 9.5 cal is supplied to one gram of copper and one gram of gold, the RATIO of temperature increase of gold to that of copper is:
The weight of a star is usually balanced by two forces: the gravitational force, acting inward, and the force created by nuclear reaction, acting outward. Over a long period of time, the force due to nuclear reactions gets weaker, causing the gravitational collapse of the star and crushing atoms out of existence. Under such extreme conditions, protons and electrons are squeezed to form neutrons, giving birth to a neutron star. Neutron stars are massively heavy - a teaspoon of the substance of a neutron star would weigh 100 million metric tons on the Earth. a) Consider a neutron star whose mass is twice the mass of the Sun and whose radius is 13.3 km. (The mass of the Sun is 1.99-1030 kg.) If it rotates with a period of 2.57 s, what is the speed of a point on the Equator of this star? Submit Answer Tries 0/99 b) What is the value of g at the surface of this star? Submit Answer Tries 0/99 c) Compare the weight of a 1.30-kg mass on the Earth with its weight on the neutron star. How many…
How many Joules of heat are absorbed by 3 moles of an ideal gas expanding isothermally from an initial pressure of 5 atmospheres to a final pressure of 3 atmospheres at the temperature of zero degrees Celsius. Write your answer in Joules, but do not write the units.
T F The specific weight of a fluid is the product of the fluid's density and the acceleration due to gravity. Stronger surface tension leads to higher capillary rise. Absolute pressures are frequently negative. If the pressure of fluid drops below the vapor pressure of that fluid at that temperature, the fluid will cavitate. F F T F F Density can be measured in lb;/ft° in the English system of units. For a hydrostatic incompressible fluid, pressure is independent of depth. A fluid with a high bulk modulus of elasticity is more difficult to compress than one with a low bulk modulus of elasticity. Viscosity is caused, in part, by the surface tension within a fluid. A fluid can resist an applied shear stress by deforming. Pressure increases faster with depth in less dense fluids than in more dense fluids. T F F F F F
Two identical thermometers made of Pyrex glass contain , respectively,identical volumes of mercury and methyl alcohol. If the expansion of the glass is taken into account, calculate how many times greater is the distance between the degree marks on the methy lalcohol thermometer than the distance on the mercury thermometer.
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For a gas, which of the following does not vary with temperature? - the gas soecific weight - the gas dynamic viscosity - the gas specific volume - the gas constant R - the gas density
Consider a column of a planet's atmosphere. The planet's atmosphere is a compressible ideal gas at rest that obeys the polytropic relation Po %3D 3/2 Po 3/2 where pis pressure and pis density. Here, p, and P, are the values of pressure and density, respectively, at the planet's surface. Take z (altitude) to be positive upward with z=0 at the surface, take R to be the gas constant for the planet's atmosphere, and take g to be the downward acceleration due to gravity. a) Starting from hydrostatic balance and the polytropic relation above, derive an expression for the pressure field, p(z), in terms of the given parameters. Leave all parameters except the polytropic index as algebraic. b) Derive an expression for the density field, p(z), in terms of the given parameters. Leave all parameters except the polytropic index as algebraic. c) Derive an expression for the temperature field, T(z), in terms of the given parameters. Leave all parameters except the polytropic index as algebraic.
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A pycnometer is a device used to measure density. It weighs 20.455 g empty and 31.486 g when filled with water(d = 1.00g/cm ) . Pieces of an alloy are put into the empty, dry pycnometer. The mass of the alloy and pycnometer is 28.695 g. Water is added to the alloy to exactly fill the pycnometer. The mass of the pycnometer, water, and alloy is 38.689 g.What is the density of the alloy.

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