Creating Superphosphate

Chemistry Level 2

To create single superphosphate, people use an ore containing 73 % C a 3 ( P O 4 ) 2 , 26 % C a C O 3 73\% Ca_3(PO_4)_2, 26\% CaCO_3 and 1 % S i O 2 1\% SiO_2

People completely dissolve 100 k g 100kg of that ore by using a 65% H 2 S O 4 H_2SO_4 solution to create single superphosphate.

How much solution is needed?

Type your answer in kilograms ( k g kg ). Round your answer to 2 decimal places.

Calculate using the given molar mass of these substances:

C a = 40 , P = 31 , O = 16 , C = 12 , S i = 28 , H = 1 , S = 32 Ca=40, P=31, O=16, C=12, Si=28, H=1, S=32


The answer is 110.06.

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1 solution

Tin Le
Oct 29, 2020

We can calculate that 100 k g 100kg of the ore contains 235 m o l 235 mol C a 3 ( P O 4 ) 2 Ca_3(PO_4)_2 and 260 m o l 260 mol C a C O 3 CaCO_3 ( S i O 2 SiO_2 is irrevelant because it can't react with H 2 S O 4 H_2SO_4 )

Note that single superphosphate must contain C a ( H 2 P O 4 ) 2 Ca(H_2PO_4)_2 .

Chemical reactions:

C a 3 ( P O 4 ) 2 + 2 H 2 S O 4 C a ( H 2 P O 4 ) 2 + 2 C a S O 4 Ca_3(PO_4)_2 + 2H_2SO_4 \rightarrow Ca(H_2PO_4)_2 + 2CaSO_4 \downarrow

235 (mol) ------ 470 (mol)

C a C O 3 + H 2 S O 4 C a S O 4 + H 2 O + C O 2 CaCO_3 + H_2SO_4 \rightarrow CaSO_4 + H_2O + CO_2 \uparrow

260 (mol) --- 260 (mol)

Deducing from the two chemical reactions, we have to use m H 2 S O 4 = n H 2 S O 4 . M H 2 S O 4 = ( 470 + 260 ) . 98 = 71540 ( g ) = 71.54 k g m_{H_2SO_4} = n_{H_2SO_4}. M_{H_2SO_4} = (470 + 260).98 = 71540 (g)=71.54 kg H 2 S O 4 H_2SO_4 .

Therefore, the weight of the needed 65% H 2 S O 4 H_2SO_4 solution is: m = m H 2 S O 4 65 % = 71.54 65 % 110.06 ( k g ) m=\frac{m_{H_2SO_4}}{65\%} = \frac{71.54}{65\%} \approx \boxed{110.06} (kg)

Same here. But your thread have some errors (học Văn như thằng này! :) ).

Anh Khoa Nguyễn Ngọc - 7 months, 2 weeks ago

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hmu hmu lên lớp làm chmúa hmề giờ dịch In lịt như bị khùng á =))))

Tin Le - 7 months, 2 weeks ago

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