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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.

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.

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.

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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