What volume of hydrogen gas, at 273 K and 1 atm pressure will be consumed in obtaining 21.6 g of elemental boron (atomic mass 10.8) from the reduction of boron trichloride by hydrogen?

Answers (1)

\text{The balanced chemical equation for the reduction of boron dichloride is}

                                      B C l_{3}+1.5 H_{2} \rightarrow B+3 H C l

\\\text{From the equation, it is clear that 1 mole of boron formation requires 1.5 moles of hydrogen gas.} \\ \text{Let's calculate the moles of boron from the given mass of boron.}

\begin{aligned} \text { No. of moles } &=\frac{\text {Mass}}{\text {Molar mass}} \\\\ &=\frac{21.6 \mathrm{g}}{10.8 \mathrm{gmol}^{-1}} \\\\ &=2.00 \mathrm{mol} \end{aligned}

\\\text{So, to obtain 2.00 mol of boron, 3.00 mol of hydrogen gas is required.} \\ \text{One mole of hydrogen gas at 273 K and 1 atm occupies a volume of 22.4 L.}

\\\text{Therefore, volume of hydrogen gas =3.00 mol} \times 22.4 L{mol}^{-1} \\ =67.2 L

Most Viewed Questions

Preparation Products

JEE Main Rank Booster 2022

Booster and Kadha Video Lectures, Unlimited Full Mock Test, Adaptive Time Table, 24x7 Doubt Chat Support,.

₹ 6999/- ₹ 799/-
Buy Now
Knockout JEE Main 2022 (One Month)

Personalized AI Tutor and Adaptive Time Table, Self Study Material, Live Classes, Unlimited Mock Tests and Personalized Analysis Reports, 24x7 Doubt Chat Support,.

₹ 13999/- ₹ 6999/-
Buy Now
Knockout JEE Main 2023 (One Month)

Personalized AI Tutor and Adaptive Time Table, Self Study Material, Live Classes, Unlimited Mock Tests and Personalized Analysis Reports, 24x7 Doubt Chat Support,.

₹ 13999/- ₹ 6999/-
Buy Now
Knockout JEE Main (One Month Subscription)

- AI Coach Study Modules, - Unlimited Mock Tests, - Expert Mentorship, - Study Improvement Plan.

₹ 2999/- ₹ 1999/-
Buy Now
Knockout JEE Main (Twelve Months Subscription)

- AI Coach Study Modules, - Unlimited Mock Tests, - Expert Mentorship, - Study Improvement Plan.

₹ 23999/- ₹ 14999/-
Buy Now
Boost your Preparation for JEE Main 2021 with Personlized Coaching
 
Exams
Articles
Questions