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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

The flash on a compact camera stores energy in a 120渭Fcapacitor that is charged to 220V. When the flash is fired, the capacitor is quickly discharged through a lightbulb with5.0惟of resistance.

a. Light from the flash is essentially finished after two time constants have elapsed. For how long does this flash illuminate the scene?

b. At what rate is the lightbulb dissipating energy 250渭safter the flash is fired?

c. What total energy is dissipated by the lightbulb?

A 70渭F capacitor is discharged through two parallel resistors,15K惟and25K惟 By what factor will the time constant of this circuit increase if the resistors are instead placed in series with each other?

The five identical bulbs in FIGURE EX28.11are all glowing. The battery is ideal. What is the order of brightness of the bulbs, from brightest to dimmest? Some may be equal.

A.P=T>Q=R=S

B.P>Q=R=S>T

C.P=T>Q>R=S

D.P>Q>T>R=S

A 150渭Fdefibrillator capacitor is charged to 1500V. When fired through a patient鈥檚 chest, it loses95% of its charge in 40msWhat is the resistance of the patient鈥檚 chest?

What is the time constant for the discharge of the capacitors in FIGURE EX28.34?
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