Consider the strong electrolytes Z _ m X _ n , U _ m Y _ p and V _...

${\lambda}_{m} = {\lambda}_{m}^{°} - A\sqrt{C}$

For electrolyte ${Z}_{m}{X}_{n}$ and from given curve

${\lambda}_{m}\left({Z}_{m}{X}_{n}\right) = {\lambda}_{m}^{0}\left({Z}_{m}{X}_{n}\right) - A\sqrt{C}$

$- A = \dfrac{336 - 339}{0 . 04 - 0 . 01} = - \dfrac{3}{0 . 03}$

$⇒ A = 100$

$∴$ For ${\lambda}_{m} = 336S{cm}^{2}{mol}^{- 1}$

$⇒ 336 = {\lambda}_{m}^{0}\left({Z}_{m}{X}_{n}\right) - 100 \times 0 . 04$

${\lambda}_{m}^{0} = 336 + 4 = 340S{cm}^{2}{mol}^{- 1}$

${Z}_{m}{X}_{n} ⟶ {mZ}^{n +} + {nX}^{m -}$

$∴ 50m + 80n = 340$

$⇒ 5m + 8n = 34 . . . \left(i\right)$

${U}_{m}{Y}_{p} ⟶ {mU}^{p +} + {pY}^{m -}$

$∴ 25m + 100p = {\lambda}_{m}^{0}\left({U}_{m}{Y}_{p}\right) = 250$

$⇒ m + 4p = 10 . . .$\left(ii\right)$</p><p>${V}_{m}{X}_{n} ⟶ {mV}^{n +} + {nX}^{m -}$</p><p>$∴ 100m + 80n = 440$</p><p>$⇒ 5m + 4n = 22 . . . \left(iii\right)

From equation \left(i\right)$and$\left(iii\right)

$n = 3$

$m = 2$

From equation $\left(ii\right)</p><p>$p = 2$</p><p>$∴ m + n + p = 2 + 3 + 2 = 7$</p></blockquote>$