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JEE Main 201511 AprilOnline
Exam
JEE Main
Year
2015
Date
11 April
Mode
Online
Subject
Chemistry
Chapter
Some Basic Concepts of Chemistry

JEE Main 2015 · 11 April · Online · Chemistry · Some Basic Concepts of Chemistry

In the following reaction: A + 2B + 3C ⇌ A B _ 2 C _ 3 6 . 0g of A...

In the following reaction:

A+2B+3C⇌AB2C3A + 2B + 3C ⇌ A{B}_{2}{C}_{3}
6.0g6 . 0g of AA, 6.0×10236.0 \times {10}^{23} atoms of BB and 0.036mol0 . 036mol of CC reacted and formed 4.8g4 . 8g of compound AB2C3A{B}_{2}{C}_{3}. If the atomic mass of AA and CC are 6060 and 80amu80amu, respectively. What is the atomic mass of BB in amuamu? (Avogadro number=6×1023= 6 \times {10}^{23})

Options

  1. A40amu40amu
  2. B60amu60amu
  3. C70amu70amu
  4. D50amu50amu

Correct answer

D. 50amu50amu

Step-by-step solution

\begin{cases} & \text{A} & + & 2 \text{B} & + & 3 \text{C} & \to & {\text{AB}_{2} {\text{C}_{3} \\ & 6 \text{g} & & 6 \times 1 {0}^{2 3} \text{atoms} & & \text{0.036} moles & & \\ \text{Moles} & \dfrac{6}{6 0} & & \dfrac{6 \times 1 {0}^{2 3}}{6 \times 1 {0}^{2 3}} & & & & \\ & \text{0.1 mole} & & \text{1.0 mole} & & \text{0.036 moles} & & \end{cases}

\left(\dfrac{0.1}{1}, \dfrac{1.0}{2}, \dfrac{0.036}{3}; theleastvalueis0.012, i . e . , Cisthelimitingreagent\right)<br/><br />0 . 036moles of Cprovidesprovides0 . 012moles of A{B}_{2}{C}_{3}.<br/><br/>.<br /><br />0 . 012moles of A{B}_{2}{C}_{3}weighsweighs4 .8 g<br/><br />1mole of {AB}_{2}{C}_{3}weighsweighs\dfrac{4 .8}{0 .012} = 400g{mol}^{- 1}<br/><br />400 = 60 + 2B + 3 \times 80<br/><br />B = 50amu
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