The average temperature of the atmosphere has increased by 0.4°C over the last thirty years. Estimate how much energy has gone into warming up the planet in this way. Keep in mind that the atmosphere has a mass of 5 × 1018kg, and the specific heat capacity of air is about 1 Jg−1K−1. How do we get to this answer (2×1021J)

The average temperature of the atmosphere has increased by 0.4°C over the last thirty years. Estimate how much energy has gone into warming up the planet in this way. Keep in mind that the atmosphere has a mass of 5 × 1018kg, and the specific heat capacity of air is about 1 Jg−1K−1. How do we get to this answer (2×1021J)

Physics for Scientists and Engineers: Foundations and Connections

1st Edition

ISBN:9781133939146

Author:Katz, Debora M.

Publisher:Katz, Debora M.

Chapter21: Heat And The First Law Of Thermodynamics

Section: Chapter Questions

Problem 71PQ

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The average temperature of the atmosphere has increased by 0.4°C over the last thirty years. Estimate how much energy has gone into warming up the planet in this way. Keep in mind that the atmosphere has a mass of 5 × 1018kg, and the specific heat capacity of air is about 1 Jg−1K−1.
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?
When it rains, water vapor in the air condenses into liquid water, and energy is released. (a) How much energy is released when 0.0356 m (1.40 inch) of rain falls over an area of 2.59×106 m² (one square mile)? (b) If the average energy needed to heat one home for a year is 1.50x10¹1 J, how many homes could be heated for a year with the energy determined in part (a)? (a) Number i (b) Number 1 Units Units
In a warm room a naked resting person has a skin temperature of 33°C if the room temperature is 29° C, what is the body surface area if the rate of heat loss due to convection is 43watt and the convection constant K =7.1 watt /m?.K Choose the right answer: 1.8m? 1.5m2 O 1.7m2
What would be the temperature of 40.0 g of 22°C water mixed with 60.0 g of 80°C water? Answer in degrees Celsius. Here's the logical pathway to find the answer: The cold water absorbs heat according to Q1 = 40*4.186*(T-22). The hot water loses heat according to Q2 = 60*4.186*(80-T). Q1 must equal Q2, so solve for T, the equilibrium temperature.
Geologists measure conductive heat flow out of the earth by drilling holes (a few hundred meters deep) and measuring the temperature as a function of depth. Suppose that in a certain location the temperature increases by 20°C per kilometer of depth and the thermal conductivity of the rock is 2.5 W/m·K. What is the rate of heat conduction per square meter in this location? Assuming that this value is typical of other locations over all of earth's surface, at approximately what rate is the earth losing heat via conduction? (The radius of the earth is 6400 km.)
A 755-g sample of water is heated from 5.50°C to 98.40 °C. Calculate the amount of heat absorbed (in kilojoules) by the water. Specific heat of water = 4.184 J/g-°C . Your answer must be 4 sig figure and in kJ
On a cold winter day when the temperature is -20.0 ∘C, what is the amount of heat needed to warm to internal body temperature (37.0∘C) the 0.550 L of air exchanged with each breath? Assume that the specific heat capacity of air is 1020 J/(kg⋅K) and that 1.0 L of air has a mass of 1.3 g. Express your answer in joules. How much heat is lost per hour if the respiration rate is 19.0 breaths per minute?
The following heat transfer formula quantifies the radiation emitted from the Sun: P = eoA(T4 – T?) Equation 5 where: P= radiated power (Watts) e = emissivity (=1 for ideal radiator; unitless) o = Stefan-Boltzmann constant = 5.67x10-8 W/m2-K+ A = radiating area (m²) T= temperature of radiator (Kelvin) Tc = temperature of surroundings (Kelvin) Q3 Using the following values, together with equation 5, calculate the power emitted by the Sun. sun's surface temperature = 5780 K temperature of the environment that the Sun is located in = 4 K emissivity of the Sun = 1 radius of the Sun = 695,700,000 m Stephen-Boltzmann constant o = 5.67 x 10-8 W/m2-K4 Show your work below-you may use the equation editor or insert a picture of your handwritten work.
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Rubbing your hands together warms them by converting work into thermal energy. If a woman rubs her hands back and forth for a total of 20 rubs, at a distance of 7.50 cm per rub, and with an average frictional force of 40.0 N, what is the temperature increase? The mass of tissues warmed is only 0.100 kg mostly in the palms and fingers. Your answer must have three significant figures and the temperature change in centigrade.