Rearrange the following equation to solve for \”c\”, q = m(c)(\DeltaT) c=? q/(m\DeltaT) (qm)/\DeltaT (\DeltaT)/(qm) (m\DeltaT)/q
The Correct Answer and Explanation is:
To solve for ccc in the equation:q=m⋅c⋅(ΔT)q = m \cdot c \cdot (\Delta T)q=m⋅c⋅(ΔT)
Follow these steps:
- Start with the given equation: q=m⋅c⋅(ΔT)q = m \cdot c \cdot (\Delta T)q=m⋅c⋅(ΔT)
- Isolate ccc:
To solve for ccc, you need to get ccc by itself on one side of the equation. Currently, ccc is multiplied by both mmm and ΔT\Delta TΔT. To isolate ccc, divide both sides of the equation by m⋅ΔTm \cdot \Delta Tm⋅ΔT: qm⋅ΔT=c\frac{q}{m \cdot \Delta T} = cm⋅ΔTq=c - Final rearranged equation:
The rearranged equation is: c=qm⋅ΔTc = \frac{q}{m \cdot \Delta T}c=m⋅ΔTq
So, the correct answer is c=qm⋅ΔTc = \frac{q}{m \cdot \Delta T}c=m⋅ΔTq.
Explanation:
This equation represents a formula used in calorimetry, where:
- qqq is the heat energy absorbed or released (in joules, J),
- mmm is the mass of the substance (in grams, g),
- ΔT\Delta TΔT is the change in temperature (in degrees Celsius or Kelvin),
- ccc is the specific heat capacity (in J/g·°C or J/g·K).
To isolate ccc, we divide both sides by the product m⋅ΔTm \cdot \Delta Tm⋅ΔT. This allows us to express the specific heat capacity ccc in terms of the heat qqq, the mass mmm, and the temperature change ΔT\Delta TΔT.
This equation is fundamental for determining the heat capacity of a substance when heat is added or removed, and it’s commonly used in thermal studies and calorimetry experiments.
