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Chapter 21: Q74P (page 629)

A100Wlamp has a steady current of0.83Ain its filament. How long is required for1molof electrons to pass through the lamp?

Short Answer

Expert verified

The time taken by one mole of electrons to pass through the lamp isΔt=1.3days

Step by step solution

01

Given

Current,i=0.83 A,

Power,P=100 W,

1 mole=6.02×1023 atoms

02

Understanding the concept

The rate at which the energy is transferred between two bodies is known as power. It can also be defined as the amount of energy (E) transferred from one body to another in the unit time interval.

P=Et

Here, t is the time taken to transfer energy(E) .

03

Calculate the time required for 1 mol of electrons to pass through the lamp

Electric current (i)is the rate of transfer of charge with respect to time.

i=ΔqΔt

If i=0.83 A, the time it takes for one mole of electron to pass through the lamp is

Δt=Δqi=(6.02×1023)(1.60×10−19 C)0.83 A=1.16×105 sec=1.34 days

One mole of electrons can pass in1.34 days.

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