NCERT Class XI Chemistry Structure of Atom Solutions

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Question : 2
Total: 67
(i) Calculate the total number of electrons present in one mole of methane.
(ii) Find (a) the total number and (b) the total mass of neutrons in 7 mg of
14
C
. (Assume that mass of a neutron = 1.675 × 1027 kg).
(iii) Find (a) the total number and (b) the total mass of protons in 34 mg of NH3 at STP. Will the answer change if the temperature and pressure are changed?
Solution:  
(i) Total number of electrons present in one mole of CH4
= 6 × 6.022 × 1023 + 4 × 6.022 × 1023 = 36.132 × 1023 + 24.088 × 1023
= 6.022 × 1024 electrons
(ii) We know that, p + n = A
6 + n = 14 [Since e = p = Z]
n = 14 – 6 = 8
Now, 1 mole of
14
C
= 14 g of C = 6.022 × 1023 atoms of
14
C

= 6.022 × 1023 × 8 neutrons = 4.8176 × 1024 neutrons
(a) 14 g of
14
C
contains = 4.8176 × 1024 neutrons
7 mg (7 × 103 g) of
14
C
contains =
4.8176×7×103
14
neutrons
= 2.4088 × 1021 neutrons
(b) Mass of a neutron = 1.675 × 1027 kg
Mass of 2.4088 × 1021 neutrons = 1.675 × 1027 × 2.4088 × 1021
= 4.0347 × 106 kg
(iii) (a) 17 g of NH3 has 10 × 6.022 × 1023 electrons or protons = 6.022 × 1024
34 mg (34 × 103 g) of NH3 has protons =
6.022×1024
17
×34
×103

= 1.2044 × 1022 protons
(b) Mass of a proton = 1.675 × 1027 kg
Total mass of protons in 34 × 103 g = 1.2044 × 1022 × 1.675 × 1027 kg
= 2.017 × 105 kg
The answer will not change if the temperature and pressure are changed.
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