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Question: A cup contains 250 g of water. Find the number of positive charges present in the cup of water....

A cup contains 250 g of water. Find the number of positive charges present in the cup of water.

A

1.34×1019C1.34 \times 10^{19}C

B

1.34×107C1.34 \times 10^{7}C

C

2.43×1019C2.43 \times 10^{19}C

D

2.43×107C2.43 \times 10^{7}C

Answer

1.34×107C1.34 \times 10^{7}C

Explanation

Solution

: Mass of water = 250 g molecular mass of water = 18 g Number of molecules in 18 g of water (Avogadro’s Number)= 6.02×10236.02 \times 10^{23} \thereforeNumber of molecules in one cup of water =25018×6.02×1023= \frac{250}{18} \times 6.02 \times 10^{23} Each molecule of water contains two hydrogen atoms and one oxygen atom, i.e., 10 electrons and 10 protons. \thereforeTotal positive and negative charge has the same magnitude and is

=25018×6.02×1023×10×1.6×1019C= \frac{250}{18} \times 6.02 \times 10^{23} \times 10 \times 1.6 \times 10^{- 19}C

=1.34×107C= 1.34 \times 10^{7}C