# Tutor profile: Dylan H.

## Questions

### Subject: Chemistry

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.

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

### Subject: Calculus

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

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

### Subject: Algebra

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

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

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