Question #49310

A student collected 1g of Hydrogen, oxigen, chlorine, &Amonia in seperate bottle.Arrange these samples in the decreasing order of number of molecules In them? Justify?

Expert's answer

Answer on Question #49310 - Chemistry – Inorganic Chemistry

Question

A student collected 1g of Hydrogen, oxygen, chlorine, &Amonia in separate bottle. Arrange these samples in the decreasing order of number of molecules. In them? Justify?

Answer:

Calculate the number of molecules in 1 g of each gas. The formula is:


N=mNAMN = \frac{m \cdot N_A}{M}


- m – the mass of the gas, m = 1 g;

- NAN_A – Avogadro constant, NA=6.0221023N_A = 6.022 \cdot 10^{23};

- M – molar mass of the gas.

Number of molecules in 1 g of hydrogen is:


N(H2)=16.02210232=3.0111023 moleculesN(H_2) = \frac{1 \cdot 6.022 \cdot 10^{23}}{2} = 3.011 \cdot 10^{23} \text{ molecules}


Number of molecules in 1 g of oxygen is:


N(O2)=16.022102332=1.881022 moleculesN(O_2) = \frac{1 \cdot 6.022 \cdot 10^{23}}{32} = 1.88 \cdot 10^{22} \text{ molecules}


Number of molecules in 1 g of chlorine is:


N(Cl2)=16.022102371=8.4881021 moleculesN(Cl_2) = \frac{1 \cdot 6.022 \cdot 10^{23}}{71} = 8.488 \cdot 10^{21} \text{ molecules}


Number of molecules in 1 g of ammonia is:


N(NH3)=16.022102317=3.541022 moleculesN(NH_3) = \frac{1 \cdot 6.022 \cdot 10^{23}}{17} = 3.54 \cdot 10^{22} \text{ molecules}


Therefore, number of molecules in 1 g of the gas decreases in a row:


H2>NH3>O2>Cl2H_2 > NH_3 > O_2 > Cl_2N(H2)>N(NH3)>N(O2)>N(Cl2)N(H_2) > N(NH_3) > N(O_2) > N(Cl_2)


So, the smaller and the lighter the molecule of the gas is, the more molecules of it there are in 1 g of this gas.

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