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How many litres of a 90% concentric acid needs to be mixed with 75% concentric acid so as to get 30 litre of 78% concentric acid?
Read Solution (Total 12)
-
- x*90+(30-x)*75=30*78
so x=6
- 9 years agoHelpfull: Yes(12) No(0)
- first you have to write formulae
ax=a1n1+a2n2/(n1+n2)
where ax is mixed percentage
a1 is first solution percentage
a2 is second solution percentgage
78=(90n1+75n2)/(n1+n2)
then we get n1/n2=1/4
we have to find out in 30 ltrs
1/1+4(30)=6
Ans::: 6ltrs
- 9 years agoHelpfull: Yes(6) No(4)
- Using alligation we get the ratio of 75% :90% is (90-78):(78-75)=4:1
total solution is 30lit
then the solution mix according to the ratio.so 90% solution is mix=(30*1/5)= 6lit - 9 years agoHelpfull: Yes(6) No(0)
- Use weighted ratio rule
90a+75b/a+=78
After solving 4a=b
Given a+b=30.......eq 1
Put 4a=b in eq 1
5a=30
A=6 - 9 years agoHelpfull: Yes(3) No(1)
- let x litres 90%..then total mix=30..therefore..75%will b (30-x)litres..forming eqn we get..
90*x+(30-x)*75=30*78...solving..we get x=6litres - 9 years agoHelpfull: Yes(3) No(0)
- 90-78=12
75-78=3
3/12=1/4 so 4 liters should be added - 9 years agoHelpfull: Yes(2) No(2)
- Let n1 liters of 90% concentration has to be mixed with n2 liters of 75% concentration to get 78% concentration solution. Using weighted average formula ax=n1×a1+n2×a2n1+n2
78=n1×90+n2×75n1+n2
n1n2=14
by dividing 30 in the ratio 1:4 we get 6 : 24. So we need 6 liters. - 9 years agoHelpfull: Yes(2) No(0)
- (90a+75b)/(a+b)=78
a:b=1:4
then (1/5)*30=6litr - 9 years agoHelpfull: Yes(2) No(1)
- Let n1 liters of 90% concentration has to be mixed with n2 liters of 75% concentration to get 78% concentration solution. Using weighted average formula ax=n1*a1+n2*a2/n1+n2
78=n1*90+n2*75/n1+n2
solving we get
n1:n2=1:4
so by dividing 30 in the ratio 1:4 we get 6 : 24. So we need 6 liters. - 9 years agoHelpfull: Yes(1) No(0)
- Answer will be 6ltrs..
Using alligation method we can easily find out the answer.
90 75
/
/
78
/
/
(78-75)=3 (90-78)=12
so,the required ratio is =3:12=1:4
so the amount of 1st acid become =30*1/(1+4)=6ltrs. - 9 years agoHelpfull: Yes(1) No(0)
- 0.9x+.75y = 23.4 (30lit of 78%)--------------- Eq1
x+y = 30 * 0.9
0.9x+0.9y = 27 -------------------------- Eq 2
Solve Equ 1 & 2
Y = 24
sub y in Eq 1
thus X = 5.4litres
- 8 years agoHelpfull: Yes(1) No(0)
- hey its smashing amaan ,do it by aligation 90 --78--75 then you got ration of 1 : 4 so you need to mix 6 litre of conc acid in 24 litr con acid
- 9 years agoHelpfull: Yes(0) No(0)
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