In a closed system, A(s) leftharpoons 2 B( g)+3 C(g) , if partial pressure of C is doubled, then partial pressure of B will be

Correct answer: D. 1 2 2 times the original value K_ p =p_ B_ 1 ^ 2 × p_ C_ 1 ^ 3 Again, K_ p =p_ B_ 2 ^ 2 ×(2 p_ C_ 1 )^ 3 p_ B_ 1 ^ 2 × p_ C_ 1 ^ 3 =P_ B_ 2 ^ 2 × 8 p_ C_ 1 ^ 3 p_ B_ 1 ^ 2 8 =p_ B_ 2 ^ 2 or, p_ B_ 1 2 2 =p_ B_ 2

BITSAT 2016

Exam: BITSAT
Year: 2016
Subject: Chemistry
Chapter: Chemical Equilibrium

BITSAT 2016 · Chemistry · Chemical Equilibrium

In a closed system, A(s) leftharpoons 2 B( g)+3 C(g) , if partial...

In a closed system,

\mathrm{A}(\mathrm{s}) \rightleftharpoons 2 \mathrm{ B}(\mathrm{ g})+3 \mathrm{C}(\mathrm{g})

, if partial pressure of

\mathrm{C}

is doubled, then partial pressure of

\mathrm{B}

will be

Options

A $2 \sqrt{2}$ times the original value
B $\frac{1}{2}$ times the original value
C2 times the original value
D $\frac{1}{2 \sqrt{2}}$ times the original value

Correct answer

D. $\frac{1}{2 \sqrt{2}}$ times the original value

Step-by-step solution

\quad K_{p}=p_{B_{1}}^{2} \times p_{C_{1}}^{3}

Again,

K_{p}=p_{B_{2}}^{2} \times\left(2 p_{C_{1}}\right)^{3}\therefore \mathrm{p}_{\mathrm{B}_{1}}^{2} \times \mathrm{p}_{\mathrm{C}_{1}}^{3}=\mathrm{P}_{\mathrm{B}_{2}}^{2} \times 8 \mathrm{p}_{\mathrm{C}_{1}}^{3} \therefore \frac{\mathrm{p}_{\mathrm{B}_{1}}^{2}}{8}=\mathrm{p}_{\mathrm{B}_{2}}^{2} \text{ or, } \frac{\mathrm{p}_{\mathrm{B}_{1}}}{2 \sqrt{2}}=\mathrm{p}_{\mathrm{B}_{2}}

Practice Chemical Equilibrium on Quantrex Academy →

More from Chemical Equilibrium

Le-Chateliers' principle is not applicable to BITSAT 2024 The ratio (K_P)/(K_C) for the reaction CO_ (g) +(1)/(2) O_ 2( g) leftharpoons CO_ 2( g)… BITSAT 2024 For an isomerisation reaction A leftharpoons B , the temperature dependence of… BITSAT 2022 PCl_ 5 is dissociating 50 \% at 250^ ^ ∘ C at a total pressure of P atm. If equilibrium… BITSAT 2021 The ratio K_ p K_ c for the reaction CO(g)+(1)/(2) O_ 2 (g) leftharpoons CO_ 2 (g) is: BITSAT 2020 4 moles of A are mixed with 4 moles of B . At equilibrium for the reaction A + B ⇌ C + D… BITSAT 2019 An equilibrium mixture at 300K contains N _ 2 O _ 4 and NO _ 2 at 0. 28 and 1. 1atm… BITSAT 2018 The degree of dissociation of PCl_ 5 (α) obeying the equilibrium PCl_ 5 leftharpoons PCl_… BITSAT 2016 Full Chemical Equilibrium list All BITSAT PYQs