Equilibrium Part 3

Chemistry Level 2

2 CH 4 ( g ) 3 H 2 ( g ) + C 2 H 2 ( g ) 2\text{CH}_4(g) \rightleftharpoons 3\text{H}_2(g)+ \text{C}_2\text{H}_2(g)

The reaction above takes place in a rigid container.At 2000 K 2000 \mathrm{K} , the reaction above has K c = . 154 K_c=.154 .

If there are currently 2.00 M CH 4 2.00 \mathrm{M} \ \ \text{CH}_4 and . 015 M C 2 H 2 .015 \mathrm{M} \ \ \text{C}_2\text{H}_2 and . 010 M H 2 .010 \mathrm{M} \ \ \text{H}_2 . What will happen to the pressure in the container as the reaction proceeds towards equilibrium given constant temperature throughout the reaction?

Note: Q Q is the reaction quotient

The pressure will decrease since Q < K c Q<K_c The pressure will increase since Q > K c Q>K_c Can not be solved without initial pressures The pressure will increase since Q < K c Q<K_c The pressure will remain unchanged The pressure will decrease since Q > K c Q>K_c

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1 solution

Hamza A
Dec 27, 2018

Q = [ H 2 ] i 3 [ C 2 H 2 ] i [ CH 4 ] i 2 Q=\displaystyle \frac{[ \text{H}_2]^3_{i} [\text{C}_2\text{H}_2]_{i}}{[\text{CH}_4]^2_{i}}

Where i i denotes initial and [ A ] [A] denotes the concentration of A A . Hence,

Q = . 01 0 3 . 015 2.0 0 2 = 3.8 × 1 0 9 Q=\displaystyle \frac{.010^3 \cdot .015}{2.00^2} =3.8 \times 10^{-9}

Therefore we can deduce that Q < K c Q<K_c and the reaction will proceed to favor product formation. As the products have more reaction moles than the reactants 4 product > 2 reactant 4_{\text{product}}>2_{\text{reactant}} the container's walls will experience more pressure as there are more moles of gas present. Therefore, the pressure will increase as Q < K c Q<K_c

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