General Science and Mathematics Problems

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Questions and Answers

How many grams of CO2 would be produced if 10 moles of oxygen were consumed in the oxidation process?

660 grams

440 grams (correct)

880 grams

220 grams

What is the new pressure in a gas cylinder that was at 3000 psig and heated from 65°F to 110°F?

3200 psig

2800 psig

3400 psig (correct)

3600 psig

What is the total power consumed in a parallel circuit if the total voltage is known?

Voltage divided by total resistance

Total current times resistance

Current times voltage (correct)

Resistance squared divided by voltage

How thick does the shielding need to be to reduce an 800-mR source to 200-mR exposure using Cobalt-60?

3 inches Signup and view all the answers

How long will it take for a 1600-µCurie source of Ruthenium to reduce to 100 µCurie?

3 years Signup and view all the answers

What is the result of calculating $69.95 - 10%$ discount?

$62.96 Signup and view all the answers

What is the correct calculation of $14 \times 356$?

4984 Signup and view all the answers

What is the value of $\pi \times 3.6^2$?

40.72 Signup and view all the answers

What is the result of $(12 \times 6^2) / \sqrt{9}$?

6 Signup and view all the answers

Calculating $5^{4.87}$ produces which answer?

2535 Signup and view all the answers

What is the value of $\frac{4.87}{2535}$?

0.022 Signup and view all the answers

What is the result of calculating $\log{15.32}$?

1.19 Signup and view all the answers

What is the value of $90 + 16.61 \times \log_{10}{2}$?

95 Signup and view all the answers

What is the result of calculating $\frac{1}{e^{-2.5}}$?

0.92 Signup and view all the answers

What is the value of $\sin{30}$?

0.5 Signup and view all the answers

What is the formula for the intensity of radiation at different distances?

I₂ = I₁(d₁ / d₂)² Signup and view all the answers

Which material is effective in shielding against alpha particles?

Paper Signup and view all the answers

What does the symbol T1/2 represent in radioactivity calculations?

Half-life of the radionuclide Signup and view all the answers

How do you calculate the volume of a cube?

length × width × height Signup and view all the answers

Which formula expresses the relationship between total pressure, static pressure, and velocity pressure?

TP = SP + VP Signup and view all the answers

What does the variable 'k' represent in the equation for half-life?

Disintegration constant Signup and view all the answers

What does the equation Q = AV signify in engineering control calculations?

Flow Rate is equal to Area multiplied by Velocity Signup and view all the answers

What does SP stand for in the context of pressure around a fan?

Static Pressure Signup and view all the answers

What variable does 'V' represent in the hood's capture velocity formula?

Velocity of air Signup and view all the answers

Which formula is used to calculate the Wet Bulb Globe Temperature (WBGT) without solar load?

WBGT = 0.7WB + 0.3GT Signup and view all the answers

In the noise formulas, which variable 'W' represents?

Acoustic power Signup and view all the answers

What does the formula Lw = 10log10(W/W₀) calculate?

Sound power level Signup and view all the answers

Which factor is included in the outdoor WBGT formula that is not in the indoor formula?

Dry Bulb temperature (DB) Signup and view all the answers

What is the 3-dB rule used for in the context of noise exposure?

Estimating allowable exposure time Signup and view all the answers

What does dB₁ signify in the noise level equations?

Noise level at a specific distance Signup and view all the answers

In the formula SPLTotal = SPLIndividual + 10logn, what does 'n' represent?

Number of sound sources Signup and view all the answers

What does the formula F = μN represent?

Force required to slide an object Signup and view all the answers

In the formula W = mg, what does W stand for?

Weight of an object Signup and view all the answers

What does the variable 'i' represent in the financial formula F = P(1 + i)ⁿ?

Interest rate for a given interest period Signup and view all the answers

How is the final velocity (Vfinal) calculated when multiple coefficients of friction are involved?

Vfinal = √(V₁² + V₂² + ... + Vn²) Signup and view all the answers

In the context of statistics, what does the t-score formula t = (x - μ) / ŝ calculate?

The difference between a sample mean and population mean in standard deviations Signup and view all the answers

What is represented by 'P' in the formula F = A((1 + i)ⁿ - 1) / ((1 + i) - 1)?

Present sum of money at the current time Signup and view all the answers

In physics, what does the equation F₁d₁ = F₂d₂ relate to?

Equilibrium of forces in rotational motion Signup and view all the answers

To find the distance traveled (s) given acceleration (a) and time (t), which formula should be used?

s = v₀t + ½at² Signup and view all the answers

Which formula calculates velocity in kilometers per hour (VKPH) from skid marks?

VKPH = √255 × S × μ Signup and view all the answers

What does the variable 'n' signify in financial calculations?

Years of investment multiplied by 4 for quarters Signup and view all the answers

Study Notes

ASP Math Equations and Formulas

Concentrations of Vapors and Gases Formulas:
- ppm = mg/m³ x 24.45 / MW
- ppm = parts per million in concentration
- mg/m³ = milligrams/cubic meter
- MW = Molecular Weight of the substance
Time Weighted Average (TWA):
- TWA = [(C₁ × T₁) + (C₂ × T₂) + ... + (Cₙ × Tₙ)] / (T₁ + T₂ + ... + Tₙ)
- C = Concentration of chemical
- T = Time of exposure
Lower Flammable Limit (LFL) of a Mixture:
- LFLₘ = (f₁ × LFL₁) + (f₂ × LFL₂) + ... + (fₘ × LFLₘ)
- f = fraction by weight
Threshold Limit Value (TLV) of a Mixture:
- TLVₘ = (f₁ × TLV₁) + (f₂ × TLV₂) + ... + (fₙ × TLVₙ)
- f = fraction by weight (expressed as a decimal)

Electrical Formulas

Ohm's Law:
- V = IR (or E = IR)
- V or E = Voltage
- I = Current (Amperage)
- R = Resistance (Ohms)
Series Resistance:
- Rₛₑᵣᵢₑₛ = R₁ + R₂ + ... + Rₙ
Power (Watts):
- P = VI (or P = EI)
- P = Power (Watts)
- I = Current (Amperage)
- V or E = Voltage

Radiation Formulas

Radioactivity Remaining:
- N = N₀e⁻ᵏᵗ
- N = radioactivity remaining after time t
- N₀ = radioactivity at a given original time
- t = elapsed time
- k = disintegration constant
- e = second function natural log
Half-life:
- T₁/₂ = ln(2)/k
- T₁/₂ = half-life of the radionuclide
- k = Disintegration constant

Structural and Mechanical Calculations

Area and Volume Formulas:
- Circumference of a circle = 2πr or πd
- Area of a circle = πr² or πd²/4
- Area of a rectangle = length × width
- Area of a triangle = 1/2 × base × height
- Volume of a tank = πr²h or πd²/4 × h
- Volume of a cube = length x width × height
Trigonometry Functions:
- sin A = a/c, cos A = b/c, tan A = a/b
- a² + b² = c² (Pythagorean Theorem)

Engineering Control Calculations

Volumetric Flow Rate:
- Q = AV (Q in ft³/min, A in ft², V in ft/min)

Additional Formulas

Other formulas related to specific calculations provided in the given pages of text.

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Description

This quiz covers a variety of problems in general science and mathematics, including gas laws, chemical reactions, electrical circuits, radiation shielding, and basic arithmetic. Test your knowledge and problem-solving skills in these essential topics.