Dylan H.

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Chemistry

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Question:

An unknown amount of hydrogen is created during a hydrogenation reaction. The reaction takes place at standard temperature and pressure, and occupies a ten cubic meter vessel. Determine how many grams of hydrogen are created from the reaction. Assume ideal gas.

Dylan H.

Answer:

Using the ideal gas law, P=101325 Pa T=273 K V= 10 m^3 R= 8.314 J/(mol*K) n=446 mols of hydrogen Multiply by molar mass, m=450 grams

Calculus

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Question:

A position function is given by, p(x)=6cos(x^2)+15x^4 How do we find the acceleration function? What is it?

Dylan H.

Answer:

We can determine the acceleration function by deriving the position function twice. First determine the velocity function. Use the chain rule and power rule. v(x)=-12xsin(x^2)+60x^3 Now, derive this equation to find the acceleration. a(x)=(-24x^2)cos(x^2)+180x^2

Algebra

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Question:

Solve the System of Equations: 2x+3y+5z=18 3x-5y+20z=4 12x+3y-2z=2

Dylan H.

Answer:

Using a solver system on a TI-36X, x=-0.657, y=4.19, and z=1.35

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