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erik [133]
3 years ago
9

Sodium hydroxide (NaOH) and hydrochloric acid (HCl) react to form sodium chloride (NaCl) and water according to the equation:

Mathematics
2 answers:
denpristay [2]3 years ago
6 0

Answer:

0.00496

Step-by-step explanation:

e2020

kompoz [17]3 years ago
4 0

<u>Answer: </u>The mass of H_2O formed will be 4.95\times 10^{-3} grams

<u>Explanation:</u>

For the given reaction:

NaOH+HCl\rightarrow NaCl+H_2O

By Stoichiometry of the reaction:

1 mole of NaCl produces 1 mole of water molecule.

So, 2.75\times 10^{-4}mol of NaCl will produce 2.75\times 10^{-4}mol of H_2O

To calculate the mass of water, we will use the equation used to calculate number of moles, which is:

\text{Number of moles}=\frac{\text{Given mass}}{\text{Molar mass}}

Number of moles of H_2O=2.75\times 10^{-4} moles

Molar mass of water = 18 g/mol

Putting values in above equation, we get:

2.75\times 10^{-4}mol=\frac{\text{Given mass}}{18g/mol}\\\\\text{Given mass of water}=4.95\times 10^{-3}g

Hence, the mass of H_2O formed will be 4.95\times 10^{-3} grams

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5 0
3 years ago
A line tangent to the curve f(x)=1/(2^2x) at the point (a, f(a)) has a slope of -1. What is the x-intercept of this tangent?
kirza4 [7]

Answer:

x-intercept = 0.956

Step-by-step explanation:

You have the function f(x) given by:

f(x)=\frac{1}{2^{2x}}   (1)

Furthermore you have that at the point (a,f(a)) the tangent line to that point has a slope of -1.

You first derivative the function f(x):

\frac{df}{dx}=\frac{d}{dx}[\frac{1}{2^{2x}}]  (2)

To solve this derivative you use the following derivative formula:

\frac{d}{dx}b^u=b^ulnb\frac{du}{dx}

For the derivative in (2) you have that b=2 and u=2x. You use the last expression in (2) and you obtain:

\frac{d}{dx}[2^{-2x}]=2^{-2x}(ln2)(-2)

You equal the last result to the value of the slope of the tangent line, because the derivative of a function is also its slope.

-2(ln2)2^{-2x}=-1

Next, from the last equation you can calculate the value of "a", by doing x=a. Furhtermore, by applying properties of logarithms you obtain:

-2(ln2)2^{-2a}=-1 \\\\2^{2a}=2(ln2)=1.386\\\\log_22^{2a}=log_2(1.386)\\\\2a=\frac{log(1.386)}{log(2)}\\\\a=0.235

With this value you calculate f(a):

f(a)=\frac{1}{2^{2(0.235)}}=0.721

Next, you use the general equation of line:

y-y_o=m(x-x_o)

for xo = a = 0.235 and yo = f(a) = 0.721:

y-0.721=(-1)(x-0.235)\\\\y=-x+0.956

The last is the equation of the tangent line at the point (a,f(a)).

Finally, to find the x-intercept you equal the function y to zero and calculate x:

0=-x+0.956\\\\x=0.956

hence, the x-intercept of the tangent line is 0.956

5 0
3 years ago
Please help!!!!! 10 Points!! (i only have 23)
Ivan
The answers are going to be: D & E

Explanation:
Any number that was multiplied by less then one is going to be your answer. :)
6 0
3 years ago
what's a math equation that equals 19? it has to be an equation with x and the answer Is 19 so whats the equation guys??
expeople1 [14]
There are many different types of equations we can use to allow x to equal 19! Below are some examples :) See if you can come up with some on your own based off of these examples:

5x = 95.....................................Divide both sides b 5

x = 19.......................................There's one for you :)

_____________________________________________________________

1 + x - 5 = 15............................Combine like terms

x - 4 = 15..................................Add 4 to both sides

x = 19
_____________________________________________________________

There's just a couple of examples, but see if you can come up with some on your own and let me know if you get stuck!

Thank you for your question! I hope this helped! Have an amazing day and feel free to let me know if I can help you any further! :D
3 0
3 years ago
Read 2 more answers
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