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Chapter 28: Q. 48 (page 792)

The circuit shown in FIGURE P28.48 is inside a 15cmdiameter balloon filled with helium that is kept at a constant pressure of 12atm. How long will it take the balloon鈥檚 diameter to increase to 16 cm?

Short Answer

Expert verified

Time taken is16s.

Step by step solution

01

Given information

We have given,

Diameter of the balloon =15cm

Pressure =1.2atm

We have to find the time taken by the balloon to change its diameter to16cm.

02

Simplify

The equivalent resistance of resistances in parallel as shown in the figure

1Req1=1R1+1R21Req1=1200+1300=5600Req1=120鈩�

Then the total resistance of the circuit will be

Req=120+280=400鈩�

The total power dissipated by the circuit

P=V2R=(45)2400=5.06

then heat will be generated as

H=PtH=5t

We know from the law of thermodynamics

localid="1649414991464" H=32nRT=5t5t=32P(V2-V1)

Then,

V1-V2=4蟺((0.16)2-(0.15)2)3V1-V2=0.14脳10-3m3t=3脳12脳0.14脳10-310t=16s

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Most popular questions from this chapter

A variable resistor Ris connected across the terminals of a battery. FIGURE EX28.21 shows the current in the circuit as Ris varied. What are the emf and internal resistance of the battery?

A circuit you鈥檙e building needs an ammeter that goes from 0mAto a full-scale reading of 50mA. Unfortunately, the only ammeter in the storeroom goes from 0渭础to a full-scale reading of only 500渭础. Fortunately, you鈥檝e just finished a physics class, and you realize that you can make this ammeter work by putting a resistor in parallel with it, as shown in FIGURE P28.57. You鈥檝e measured that the resistance of the ammeter is50鈩�, not the0鈩�of an ideal ammeter.

a. What value of R must you use so that the meter will go to full scale when the current I is50mA?

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a. What is the battery鈥檚 internal resistance?

b. How much power is dissipated inside the battery?

What is the equivalent resistance between points a and b in FIGURE EX28.28?

Bulbs A and B in FIGURE Q28.12 are identical, and both are glowing. What happens to each bulb when the switch is closed? Does its brightness increase, stay the same, decrease, or go out? Explain
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