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Question
It is known that atoms have electrons, protons ,neutrons if the mass of neutron is assumed to be half of its original value whereas that of proton is assumed to be twice the original value ,then the atomic mass of 6C14 will be.
A)14.3%less than the original
B)14.3%greater than the orginal
C)28.6%less than the original
D)28.6%greater than the original.
A)14.3%less than the original
B)14.3%greater than the orginal
C)28.6%less than the original
D)28.6%greater than the original.
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Solution
14C6
Number of protons = 6 , mass of protons = 6 amu
Number of neutrons = 8, mass of neutrons = 8 amu
Mass of 14C6 = 6 + 8 = 14 amu
When mass of neutrons is halved and mass of protons is doubled, mass of 14C6becomes 8/2 + 6 x 2 = 16 amu
Percentage by which the mass has increased = (16-14)/14 x 100
= 14.28 %
Hence, mass of 14C6 is 14.28 % more
14C6
Number of protons = 6 , mass of protons = 6 amu
Number of neutrons = 8, mass of neutrons = 8 amu
Mass of 14C6 = 6 + 8 = 14 amu
When mass of neutrons is halved and mass of protons is doubled, mass of 14C6becomes 8/2 + 6 x 2 = 16 amu
Percentage by which the mass has increased = (16-14)/14 x 100
= 14.28 %
Hence, mass of 14C6 is 14.28 % more
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