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Deepti G.
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Chemistry
TutorMe
Question:

If 100.0 mL of water is added to 40.0 mL of 2.0 M HCl solution, what is the new molar concentration in M of HCl?

Deepti G.
Answer:

First the number of moles of HCl must be calculated. To do so, $$Molarity (M) = \frac{moles of solute}{liters of solution}$$, therefore $$moles of HCl = 2.0 M * .040 L = 0.080 moles of HCl$$. To find the new molar concentration, a new molarity calculation must be done with the total volume: $$Molarity (M) = \frac{0.080 mol}{0.1400 L} = 0.22 M$$. The new concentration of HCl is 0.22 M.

Biology
TutorMe
Question:

What is the difference between transcription and translation?

Deepti G.
Answer:

Transcription and translation are both steps of protein synthesis. Transcription refers to the formation of mRNA from DNA. Translation refers to the formation of proteins from mRNA.

Calculus
TutorMe
Question:

How do I know when to use the chain rule?

Deepti G.
Answer:

The chain rule is used when the function you are trying to differentiate contains two differentiable functions. For example, the function, $$f(x) = x^2-2$$, only contains one function and can be differentiated without chain rule. Another function, $$g(x) = \sqrt{x}$$, also only contains one function and can be differentiated without chain rule. When each of these functions are combined to form $$F(x) = \sqrt{x^2-2}$$, then chain rule must be used.

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