![{ \qquad\qquad\huge\underline{{\sf Answer}}}](https://img.qammunity.org/2023/formulas/mathematics/high-school/qi2ni0fyqspe7dz4ijrzcwx1jjavq84f7i.png)
Here we go ~
Question 1
Mass of 1 mole C - 12 atom = 12 g
So, mass of 1 carbon - 12 atom = ( 12 / 1 mole ) g
that is :
![\qquad \sf \dashrightarrow \: \cfrac{12}{6.022 * 10 {}^(23) } \: \: g](https://img.qammunity.org/2023/formulas/chemistry/high-school/9g47jou5hg6sj781v0b2m0vq5q7p8p5o29.png)
[ since 1 mole = 6.022 × 10²³ ]
![\qquad \sf \approx2 * 10 {}^( - 23) \: \: g](https://img.qammunity.org/2023/formulas/chemistry/high-school/ruhji9o0pj74jx0ze4y8xysbe0k6d2s9o3.png)
Question 2
Molarity :
Molarity is defined as " The number of moles of solute present in per litre of solution "
- Denoted as M = [ moles / litre ]
- change in temperature can cause change in Molarity, as the volume of solution varies with temperature.
- change in pressure can also cause change in Molarity, as volume is affected by pressure as well.
Molality :
Molality is defined as " Number of moles of solute present per kg mass of solvent "
- Denoted as m = [ moles / kg ]
- It isn't affected by any external factors like temperature or pressure, as mass of solvent is constant.
Question 3
As per the given reaction ~
![\qquad \sf \dashrightarrow \: Zn + 2\:H Cl \rightarrow ZnCl_2 + H_2](https://img.qammunity.org/2023/formulas/chemistry/high-school/5d1f7ezskx7e72hcwy714c4ttq15mv7j0p.png)
32.65 g of zinc reacted,
[ Number of moles of zinc reacted = mass of zinc reacted divided by its formula Weight ]
![\qquad \sf \dashrightarrow \: number \: \: of \: \: moles = \cfrac{32.65}{65.3} \: \: mol](https://img.qammunity.org/2023/formulas/chemistry/high-school/dqml8bvbfqixe1vizu9enel8fwr96hfivj.png)
![\qquad \sf \dashrightarrow \: number \: \: of \: \: moles = \cfrac{1}{2} \: \: mol](https://img.qammunity.org/2023/formulas/chemistry/high-school/6uixmrc3bvkv7c4pyaj6tdt6l6zr894iqa.png)
so, we can say that " half mole Zinc reacted with 1 mole of HCl to form half mole of Zinc chloride and half mole of Hydrogen gas "
And we already know that 1 mole of any gas occupies 22.7 litre volume at STP.
So, volume of Hydrogen gas Liberated :
![\qquad \sf \dashrightarrow \: \cfrac{1}{2} * 22.7](https://img.qammunity.org/2023/formulas/chemistry/high-school/4jprqcurua1cf8q280wy5kn3lrxsuprb05.png)
![\qquad \sf \dashrightarrow \: 11.35 \: \: litres](https://img.qammunity.org/2023/formulas/chemistry/high-school/hq7de8o0iw7cmv62lm4jl0egyh0hfh6sn5.png)
Question 4
The relationship between Molarity and molality can be expressed as :
![\qquad \sf \dashrightarrow \: M =\cfrac{ 1000(m * d)}{1000+(m * F)}](https://img.qammunity.org/2023/formulas/chemistry/high-school/1shiy9muuba8vs1y6e0mbef5nhik4na9f2.png)
Terms :
- F = formula weight/molar mass = 40 g
![\qquad \sf \dashrightarrow \: M =\cfrac{ 1000(3 * 1.110)}{1000+(3 * 40)}](https://img.qammunity.org/2023/formulas/chemistry/high-school/pp6d9e7r6ouyrkl0jqtsfyorejaxvd8dvi.png)
![\qquad \sf \dashrightarrow \: M =\cfrac{ 1000( 3.330)}{1000+120}](https://img.qammunity.org/2023/formulas/chemistry/high-school/8b6c7l65n3pzf2kyv0xp9m8l4xbt2xvbob.png)
![\qquad \sf \dashrightarrow \: M =\cfrac{ 3330}{1120}](https://img.qammunity.org/2023/formulas/chemistry/high-school/zu42xksp8oeikaz7sihql5r2urcnq0g0cj.png)
![\qquad \sf \dashrightarrow \: M =2.973 \: mol \: l {}^( - 1)](https://img.qammunity.org/2023/formulas/chemistry/high-school/iqr9ujy34awg4er1t4wpmo5da0o74inh9i.png)