14. Rajat took 100 g of 60% (w/w) sugar solution. He
divided the solution into 4 equal parts. He added
6 g of sugar in 1" part (A) and 20 g of water in
21 part (B) then he mixed these two parts and
labelled the solution as 'C'. The concentration
(ww%) of solution Cis
(2) 40%
(1) 60%
(4) 55%
Answers
Explanation:
Given,
π= osmatic pressure=-2.5 atm
T=25
0
C=297K
R= Gas constant =0.0821 L.atm K
−1
mol
−1
π=CRT
⇒2.5=C×0.0821×297
∴C=0.1025molL
−1
Hence, the correct option is Given,
π= osmatic pressure=-2.5 atm
T=25
0
C=297K
R= Gas constant =0.0821 L.atm K
−1
mol
−1
π=CRT
⇒2.5=C×0.0821×297
∴C=0.1025molL
−1
Hence, the correct option is vi)
Explanation:
Given: Total time taken by man to cover total distance is 14 hours 40 minutes.
⠀⠀⠀⠀━━━━━━━━━━━━━━━━━━━━━
☯ Let Total distance travelled by Man be x km.
⠀⠀⠀
\begin{gathered}\dag\;{\underline{\frak{As\;we\;know\;that,}}}\\ \\\end{gathered}
†
Asweknowthat,
\begin{gathered}\star\;{\boxed{\sf{\pink{Speed = \dfrac{Distance}{Time}}}}}\\ \\ \\ :\implies\sf Time = \dfrac{Distance}{Speed}\\ \\\end{gathered}
⋆
Speed=
Time
Distance
:⟹Time=
Speed
Distance
\begin{gathered}\underline{\bigstar\:\boldsymbol{According\:to\:the\:question\::}}\\ \\\end{gathered}
★Accordingtothequestion:
\begin{gathered}:\implies\sf 14 \dfrac{40}{60} = \dfrac{ \frac{x}{2}}{60} + \dfrac{ \frac{x}{2}}{50}\\ \\\end{gathered}
:⟹14
60
40
=
60
2
x
+
50
2
x
\begin{gathered}:\implies\sf 14 \dfrac{2}{3} = \dfrac{x}{120} + \dfrac{x}{100}\\ \\\end{gathered}
:⟹14
3
2
=
120
x
+
100
x
\begin{gathered}:\implies\sf \dfrac{44}{3} = \dfrac{100x + 120x}{12000}\\ \\\end{gathered}
:⟹
3
44
=
12000
100x+120x
\begin{gathered}:\implies\sf \dfrac{44}{3} = \dfrac{220x}{12000}\\ \\\end{gathered}
:⟹
3
44
=
12000
220x
\begin{gathered}:\implies\sf \dfrac{44}{ \cancel{3}} \times \cancel{12000} = 220x\\ \\\end{gathered}
:⟹
3
44
×
12000
=220x
\begin{gathered}:\implies\sf 44 \times 4000 = 220x\\ \\\end{gathered}
:⟹44×4000=220x
\begin{gathered}:\implies\sf 176000 = 220x\\ \\\end{gathered}
:⟹176000=220x
\begin{gathered}:\implies\sf x = \cancel{ \dfrac{176000}{220}}\\ \\\end{gathered}
:⟹x=
220
176000
\begin{gathered}:\implies{\underline{\boxed{\frak{\purple{x = 800}}}}}\;\bigstar\\ \\\end{gathered}
:⟹
x=800
★
\therefore\:{\underline{\sf{Hence,\:Total\:distance\:travelled\:by\:man\:is\: {\textsf{\textbf{800\:km}}}.}}}∴
Hence,Totaldistancetravelledbymanis800km.
⠀⠀⠀⠀━━━━━━━━━━━━━━━━━━━━━
\begin{gathered}\qquad\qquad\boxed{\bf{\mid{\overline{\underline{\pink{\bigstar\: More\: to \: know :}}}}}\mid}\\\\\end{gathered}
∣
★Moretoknow:
∣
Distance: The complete length of the path between any two points is called distance.
Distance is denoted by "d".
Distance is a scalar quantity as it only depends upon the magnitude and not the direction.
The distance can only have positive values.