calculate the concentration of nitric acid in moles per litre in a sample which has a density of 1.41g per mole and the mass percent of nitric acid in it being 69%
Answers
Explanation:
The density of the solution is 1.41 g/mL.
1000 g of the solution will have a volume =
Density
Mass
=
1.41
1000
=709 ml.
The mass per cent of nitric acid is 69%.
1000 g of the solution will have 1000×
100
69
=690 g of nitric acid.
The molarity of solution is
Molar mass of nitric acid ×Volume of solution
Mass of nitric acid
=
63×709
690
=0.0155 M.
Answer:
Given:-
Principal (P) = Rs.24000
Rate % (r) = 15%
Time (n) = 2 years four months = 2 \dfrac{1}{3}2
3
1
years.
To Find:-
Compound Interest compounded annually.
Solution:-
Let us find Amount for 2 years
The formula for finding Amount is:-
\boxed{\bf \leadsto Amount = P \bigg(1 + \dfrac{r}{100} \bigg) ^{n} }
⇝Amount=P(1+
100
r
)
n
For 2 years:-
\sf \dashrightarrow A = 24000\times \bigg(1 + \dfrac{15}{100} \bigg) ^{2}⇢A=24000×(1+
100
15
)
2
\sf \dashrightarrow A = 24000\times \bigg( \dfrac{100 + 15}{100} \bigg) ^{2}⇢A=24000×(
100
100+15
)
2
\sf \dashrightarrow A = 24000\times \bigg( \dfrac{115}{100} \bigg) ^{2}⇢A=24000×(
100
115
)
2
\sf \dashrightarrow A = 24000\times \bigg( \dfrac{115}{100} \bigg) ^{2}⇢A=24000×(
100
115
)
2
\sf \dashrightarrow A = 24000\times \dfrac{529}{400}⇢A=24000×
400
529
\sf \dashrightarrow A = 60\times 529⇢A=60×529
\sf \dashrightarrow A = 31740⇢A=31740
\sf \therefore Amount \: after \: 2 \: years = Rs.31740∴Amountafter2years=Rs.31740
Now, this Amount acts as the Principal for the next ⅓ years.
Now, Principal = Rs.31740 and Time = ⅓ years
SI for next ⅓ years :-
\sf \dashrightarrow SI = \dfrac{P\times T \times R}{100}⇢SI=
100
P×T×R
\sf = \dfrac{31740\times 1 \times 15}{3 \times 100}=
3×100
31740×1×15
\sf = \dfrac{476100}{300}=
300
476100
\sf =1587=1587
Amount for 2⅓ years = 31740 + 1587 = Rs. 33327
Compound Interest = Amount - Principal
= 33327 - 24000
= 9327
\underline{\boxed{\purple{\therefore \textsf{\textbf{Compound \: Interest = Rs.9327}}}}}
∴Compound Interest = Rs.9327