Mcat Physics Ch. 3 Equations

1. Temperature Conversions.

F = 5/9C + 32K = C + 273.

F = 9/5C + 32K = C + 273

F = C + 32K = 9/5C + 273.

F = C + 273K = 9/5C + 32.

When converting temperatures, it is essential to follow the correct formulas to ensure accuracy. In this case, F = 9/5C + 32 represents the Fahrenheit to Celsius conversion formula, while K = C + 273 signifies the Kelvin to Celsius conversion formula.

Explanation

When converting temperatures, it is essential to follow the correct formulas to ensure accuracy. In this case, F = 9/5C + 32 represents the Fahrenheit to Celsius conversion formula, while K = C + 273 signifies the Kelvin to Celsius conversion formula.

2. What is the Thermal Expansion Equation?

ΔL = αTΔL ΔL = change in lengthα = the coefficient of thermal expansion (specific to object's material)T = change in temperature

ΔL = αLΔT ΔL = change in lengthα = the coefficient of linear expansion (specific to object's material)L = original length ΔT = change in temperature

ΔT = αLΔL ΔT = change in temperatureα = the coefficient of linear expansion (specific to object's material)L = original length

ΔT = LαΔTΔT = change in temperatureL = original lengthα = the coefficient of thermal expansion (specific to object's material)

The correct Thermal Expansion Equation is represented as ΔL = αLΔT where ΔL is the change in length, α is the coefficient of linear expansion specific to the object's material, L is the original length, and ΔT is the change in temperature. The incorrect answers provided do not accurately represent the relationship between the variables in the thermal expansion equation.

Explanation

The correct Thermal Expansion Equation is represented as ΔL = αLΔT where ΔL is the change in length, α is the coefficient of linear expansion specific to the object's material, L is the original length, and ΔT is the change in temperature. The incorrect answers provided do not accurately represent the relationship between the variables in the thermal expansion equation.

3. What is the Volume Expansion Equation?

V = βΔT

ΔV = γVΔT

ΔV = αVΔT

ΔV = βVΔT ΔV = change in volumeβ = the coefficient of volumetric expansion (specific to material)V = original volumeΔT = change in temperature

The correct volume expansion equation takes into account the change in volume, the coefficient of volumetric expansion, the original volume, and the change in temperature. Option 1, V = βΔT, does not correctly represent the relationship between volume expansion and temperature change. Option 2, ΔV = αVΔT, uses the incorrect coefficient of volumetric expansion (α instead of β). Option 3, ΔV = γVΔT, introduces a different coefficient of volumetric expansion (γ) that is not part of the correct equation.

Explanation

The correct volume expansion equation takes into account the change in volume, the coefficient of volumetric expansion, the original volume, and the change in temperature. Option 1, V = βΔT, does not correctly represent the relationship between volume expansion and temperature change. Option 2, ΔV = αVΔT, uses the incorrect coefficient of volumetric expansion (α instead of β). Option 3, ΔV = γVΔT, introduces a different coefficient of volumetric expansion (γ) that is not part of the correct equation.

4. First Law of Thermodynamics.

Second Law of Thermodynamics.

Enthalpy and Entropy equation.

Newton's Laws of Motion.

ΔU = Q - W ΔU = change in system's internal energy (in Joules, J)Q = energy transferred into system as heatW = the work done by the systemPg. 91

The First Law of Thermodynamics states that the change in internal energy of a system is equal to the heat added to the system minus the work done by the system. It is represented by the equation ΔU = Q - W.

Explanation

The First Law of Thermodynamics states that the change in internal energy of a system is equal to the heat added to the system minus the work done by the system. It is represented by the equation ΔU = Q - W.

5. What is the equation for calculating heat gained or lost during a temperature change?

Q = mv^2

Q = mcΔT q = heatm= massc = specific heat of the substance (cal/g x K)ΔT = change in temperature

Q = mc^2

Q = RT/ΔH

The correct equation for calculating heat gained or lost during a temperature change is q = mcΔT where q = heat, m = mass, c = specific heat of the substance, and ΔT = change in temperature. The incorrect answers are not relevant to the topic of heat transfer and are incorrect equations.

Explanation

The correct equation for calculating heat gained or lost during a temperature change is q = mcΔT where q = heat, m = mass, c = specific heat of the substance, and ΔT = change in temperature. The incorrect answers are not relevant to the topic of heat transfer and are incorrect equations.

6. What is the heat gained or lost during a phase change?

Q = mass x acceleration due to gravity x height (q = heat, g = 9.81 m/s^2, h = height)

Q = PV (q = heat, P = pressure, V = volume)

Q = mL q = heatm = mass L = the heat of transformation or latent heat of the substance

Q = mc∆T (q = heat, m = mass, c = specific heat capacity, ∆T = change in temperature)

The correct formula for heat gained or lost during a phase change is q = mL, where q represents heat, m represents mass, and L represents the heat of transformation or latent heat of the substance. The other options do not accurately represent the calculation for heat transfer during a phase change.

Explanation

The correct formula for heat gained or lost during a phase change is q = mL, where q represents heat, m represents mass, and L represents the heat of transformation or latent heat of the substance. The other options do not accurately represent the calculation for heat transfer during a phase change.

7. What is the relationship between entropy and heat?

ΔS = Qrev/T ΔS = change in entropy (Joules/Kelvin, J/K)Qrev = heat gained or lost in a reversible processT = temperature (in Kelvin)

ΔS = Q/TΔS = change in entropy (Joules, J)Q = total heat energyT = temperature (in Kelvin).

ΔS = Qirr/TΔS = change in entropy (Joules/Kelvin, J/K)Qirr = heat gained or lost in an irreversible processT = temperature (in Kelvin).

ΔS = Q/TΔS = change in entropy (Joules/Kelvin, J/K)Q = heat gained or lost in an adiabatic processT = temperature (in Celsius).

Entropy is a measure of disorder or randomness in a system, and it increases when heat is added to the system. The relationship between entropy and heat is quantified by the equation ΔS = Qrev/T, where Qrev is the heat gained or lost in a reversible process. This equation shows how the change in entropy is related to the amount of heat transferred and the temperature of the system.

Explanation

Entropy is a measure of disorder or randomness in a system, and it increases when heat is added to the system. The relationship between entropy and heat is quantified by the equation ΔS = Qrev/T, where Qrev is the heat gained or lost in a reversible process. This equation shows how the change in entropy is related to the amount of heat transferred and the temperature of the system.

8. What is the Second Law of Thermodynamics?

The total energy in a closed system always decreases

Heat always flows from a colder object to a hotter object

ΔSuniverse = ΔSsystem + ΔSsurroundings > 0

Entropy of a closed system remains constant over time

The Second Law of Thermodynamics states that the total entropy of an isolated system can never decrease over time and will remain constant if and only if all processes are reversible. It implies that heat flows naturally from hotter to colder objects and that the total energy available for work decreases over time.

Explanation

The Second Law of Thermodynamics states that the total entropy of an isolated system can never decrease over time and will remain constant if and only if all processes are reversible. It implies that heat flows naturally from hotter to colder objects and that the total energy available for work decreases over time.