Get detailed and reliable answers to your questions on IDNLearn.com. Get accurate and detailed answers to your questions from our knowledgeable and dedicated community members.
Sagot :
To determine the reaction quotient, [tex]\( Q \)[/tex], for the reaction [tex]\( H_2(g) + I_2(g) \Leftrightarrow 2 HI(g) \)[/tex], we need to use the formula for [tex]\( Q \)[/tex]:
[tex]\[ Q = \frac{[HI]^2}{[H_2][I_2]} \][/tex]
Given the concentrations:
- [tex]\([H_2] = 0.100 \, \text{M}\)[/tex]
- [tex]\([I_2] = 0.200 \, \text{M}\)[/tex]
- [tex]\([HI] = 3.50 \, \text{M}\)[/tex]
Now, plug these concentrations into the reaction quotient formula:
[tex]\[ Q = \frac{[HI]^2}{[H_2][I_2]} \][/tex]
Substitute the given values:
[tex]\[ Q = \frac{(3.50)^2}{(0.100)(0.200)} \][/tex]
Calculate the numerator (the concentration of [tex]\( HI \)[/tex] squared):
[tex]\[ (3.50)^2 = 12.25 \][/tex]
Then, calculate the denominator (the product of the concentrations of [tex]\( H_2 \)[/tex] and [tex]\( I_2 \)[/tex]):
[tex]\[ (0.100)(0.200) = 0.020 \][/tex]
Now, put these together to find [tex]\( Q \)[/tex]:
[tex]\[ Q = \frac{12.25}{0.020} \][/tex]
Finally, perform the division:
[tex]\[ Q = 612.5 \][/tex]
So, the reaction quotient [tex]\( Q \)[/tex] for this system is approximately [tex]\( 613 \)[/tex]. Hence, the correct answer is:
[tex]\[ \boxed{613} \][/tex]
[tex]\[ Q = \frac{[HI]^2}{[H_2][I_2]} \][/tex]
Given the concentrations:
- [tex]\([H_2] = 0.100 \, \text{M}\)[/tex]
- [tex]\([I_2] = 0.200 \, \text{M}\)[/tex]
- [tex]\([HI] = 3.50 \, \text{M}\)[/tex]
Now, plug these concentrations into the reaction quotient formula:
[tex]\[ Q = \frac{[HI]^2}{[H_2][I_2]} \][/tex]
Substitute the given values:
[tex]\[ Q = \frac{(3.50)^2}{(0.100)(0.200)} \][/tex]
Calculate the numerator (the concentration of [tex]\( HI \)[/tex] squared):
[tex]\[ (3.50)^2 = 12.25 \][/tex]
Then, calculate the denominator (the product of the concentrations of [tex]\( H_2 \)[/tex] and [tex]\( I_2 \)[/tex]):
[tex]\[ (0.100)(0.200) = 0.020 \][/tex]
Now, put these together to find [tex]\( Q \)[/tex]:
[tex]\[ Q = \frac{12.25}{0.020} \][/tex]
Finally, perform the division:
[tex]\[ Q = 612.5 \][/tex]
So, the reaction quotient [tex]\( Q \)[/tex] for this system is approximately [tex]\( 613 \)[/tex]. Hence, the correct answer is:
[tex]\[ \boxed{613} \][/tex]
We value your presence here. Keep sharing knowledge and helping others find the answers they need. This community is the perfect place to learn together. Thank you for trusting IDNLearn.com. We’re dedicated to providing accurate answers, so visit us again for more solutions.