#4. The rate of costing. of as dT dt where T = Q body fig. below, can be expressed = -k (T- Ta) : temperature of the body (ĉ). Te = temperature of the surrounding medium (2) and k = 4 proportiona- 2ty constant (per minste). Thus, this equation (Called Newton's law of Cooling) specifies that the vate of cooling is proportional to the difference in the temperature of the body and of the surrounding medium. a metal ball heated to 80 °C is dropped into water that is held constant at Ta = 20°C, the temperature of the ball changes. as in Time, min 0 5 10 15 20 25 T₁ °C 80 44.5 30.0 2411 21.7 2017 wtilize numerical differentiation to determine dI at each Value of time. plot dI Versus T-Ta and dt employ linear regression to ellalvate k. dt

As the very first rudiment of climatology, estimate the temperature of Earth. Assume it is a perfect sphere and its temperature is uniform. Ignore the greenhouse effect. Thermal radiation from the Sun has an intensity (the "solar constant" S) of about 1370 W/m2 at the radius of Earth's orbit. (a) Assuming the Sun's rays are parallel, what area must S be multiplied by to get the total radiation intercepted by Earth? It will be easiest to answer in tens of Earth's radius, R. (b) Assume that Earth reflects about 30% of the solar energy it intercepts. In other words, Earth has an albedo with a value of A=0.3 . In terms of S, and R, what is the rate at which Earth absorbs energy from the Sun? (c) Find the temperature at which Earth radiates energy at the same rate. Assume that at the infrared wavelengths where it radiates, the emissivity e is 1. Does your result show that the greenhouse effect is important? (d) How does your answer depend on the area of Earth?

Most materials expand when heated. One notable exception is water between 0 and 4 , which actually decreases in volume with the increase in temperature. Which is greater for water in this temperature region, Cp or Cv ?

When the coefficient of linear expansion, a, and the temperature change, T-T, are large, a length L, of a solid substance expands in length to a(T, -T₂) L₁ = L₁e O L=L[1 + a(Tƒ– T;)]. ○ Ly=al (Ty-T). O L=L[1 + In(a(T₁-T))]. a(T, I₂ = ₁₂₁[ 1 + ª²(²₁-7)].

Some amount of heat energy is removed from a 9cm X 22cm X 16cm block of ice to cool from 0°C to -12°C. (Hint: to find mass, use the relation between, density, mass and volume) Calculate the following: a) The mas of ice cube in grams (density of ice = 920 kg/m3). %3D b) The temperature difference in kelvin b) The energy removed from ice in calories - (specific heat of ice = 2093 J/kg°C)

QUESTION 15 The volume of an automobile tire is 2.5 x 10 m3, the pressure of the air in the tire is 2.5 atm and the temperature is 25C . what is is the mass of air in grams ? The mean molecular mass of air is 29g. 1 atm = 1.01 x 105 Pa Calculate to 2 decimals. Chck Save and Submit 10 soee and submit. Click Save AL Answers to save all answers. Save All Answe 76 F Clear

A-2.16. The heat capacity of air is much lower than the heat capacityof water and a relatively small amount of heat is sufficient to change its temperature. Is itone of the reasons why in deserts, despite the high temperature during the day, wit is bitter cold at night. Heat capacity of air in constant volume wroom temperature is approximately 21 J K-1 mol-1. How much heat is needed toIncrease the air temperature in a room of 5.5 mx 6.5 mx 3.0 m by 10 ° C? Howa 1.0 kW heater would have to be on for a long time to achieve this temperature change,if there was no heat loss

What is the standard unit of temperature in the SI? (Do not abbreviate; for example gram not g.)

In a warm room a naked resting person has a skin temperature of 33k°if the room temperature is 29co,what is the body surface area if the rate of heart loss due to convection is 43 watt and the convection const.(7.1watt/m?. k°) 1.8 m2 1.6 m2 1.7 m2 1.5 m?

A physical chemist measures the temperature inside a vacuum chamber. Here is the result. T=-75.3 degrees celsius Convert to SI units. Round your answer to decimal place.