Question:

A cup contains $250\,g$ of water. Find the total positive charge present in the cup of water

Updated On: Jun 23, 2023
  • $1.34 \times 10^{19}\, C$
  • $1.34 \times 10^{7}\, C$
  • $2.43 \times 10^{19}\, C$
  • $2.43 \times 10^{7}\, C$
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The Correct Option is B

Solution and Explanation

Mass of water $= 250\, g$, Molecular mass of water $= 18\,g$ Number of molecules in 18 g of water $= 6.02 \times 10^{23}$ Number of molecules in one cup of water $=\frac{250}{18}\times6.02\times10^{23}$ Each molecule of water contains two hydrogen atoms and one oxygen atom, i.e., 10 electrons and 10 protons. $\therefore$ Total positive charge present in one cup of water $=\frac{250}{18}\times6.02\times10^{23}\times10\times1.6\times10^{-19}\,C=1.34\times10^{7}\,C$
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Concepts Used:

Electric charges and field

What is Electric Charge

It is the property of subatomic particles that experiences a force when put in an electric and magnetic field.

What is Electric Field

It is a property associated with each point in space when charge is present in any form. The magnitude and direction of the electric field are expressed by E, called electric field strength or electric field intensity.

Electric charges are of two types: Positive and Negative. It is commonly carried by charge carriers protons and electrons.

Properties of Electric Charge

Various properties of charge include the following :-

Types of electric charge

Two kinds of electric charges are there :-

Negative Charge - When an object has a negative charge it means that it has more electrons than protons.

Positive Charge - When an object has a positive charge it means that it has more protons than electrons.

When there is an identical number of positive and negative charges, the negative and positive charges would cancel out each other and the object would become neutral.