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Chapter 19: Q. 43 (page 545)

A 150 L 1≈40 gal2 electric hot-water tank has a 5.0 kW heater.

How many minutes will it take to raise the water temperature from 65°F to 140°F?

Short Answer

Expert verified

The required time is 87mins

Step by step solution

01

Definition of temperature

Temperature is measured of coldness and hotness that is account wit different scales.

02

Finding the time

The temperature difference is 75oFthat is in kelvin 41.6K

Assume Q is heart and t is time so P=Qt

where P is power

m=ρV

Now t=cm∆TP=ρcV∆TP=1000×4190×0.150×41.65000=5237.5s

Now convert second in minutes5237.560=87mins

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Most popular questions from this chapter

A 6.0cmdiameter cylinder of nitrogen gas has a 4.0cm-thick movable copper piston. The cylinder is oriented vertically, as shown in FIGURE P19.50, and the air above the piston is evacuated. When the gas temperature is20∘C,the piston floats 20cmabove the bottom of the cylinder.

a. What is the gas pressure?

b. How many gas molecules are in the cylinder? Then 20∘Cof heat energy are transferred to the gas.

c. What is the new equilibrium temperature of the gas?

d. What is the final height of the piston?

e. How much work is done on the gas as the piston rises?

FIGURE P19.62 shows a thermodynamic process followed by 120mgof helium.

a. Determine the pressure (in atm), temperature (in C∘), and volume in (cm3)of the gas at points 1,2 , and 3 . Put your results in a table for easy reading.

b. How much work is done on the gas during each of the three segments?

c. How much heat energy is transferred to or from the gas during each of the three segments?

The gas cylinder in Figure Q19.10 is well insulated except for the bottom surface, which is in contact with a block of ice.

The piston can slide without friction. The initial gas temperature is

a. During the process that occurs until

the gas reaches a new equilibrium, are

(i) ∆T, (ii) W, and (iii) Q greater than, less than, or equal to zero? Explain.

b. Draw a pV diagram showing the process.

Shows two different processes taking an ideal gas from state i to state f.

Is the work done on the gas in process A greater than, less than, or equal to the work done in process B? Explain.

Why is the molar specific heat of a gas at constant pressure larger than the molar specific heat at constant volume?
See all solutions

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