Question

what is the relationship between mass and change in temperature according to the data and equation?

the relationship between mass and temperature cannot be determined from the data or equation.

mass and change in temperature are not related.

mass and change in temperature have a direct relationship.

mass and change in temperature have an inverse relationship.

Explanation:

Step1: Analyze the formula

From the formula \(Q = mc\Delta T\), when \(Q\) (heat) and \(c\) (specific - heat capacity, assumed constant here as it's the same substance in different trials) are constant, we can rewrite the formula as \(\Delta T=\frac{Q}{mc}\). Since \(Q\) and \(c\) are constant, \(\Delta T\) is inversely proportional to \(m\) (mass).

Step2: Analyze the data

Looking at the data:

• When \(m = 30.00g\), \(\Delta T=14.00^{\circ}C\)
• When \(m = 36.00g\), \(\Delta T = 11.67^{\circ}C\)
• When \(m=42.00g\), \(\Delta T = 10.00^{\circ}C\)
• When \(m = 48.00g\), \(\Delta T=8.75^{\circ}C\)
• When \(m = 54.00g\), \(\Delta T=7.78^{\circ}C\)

As the mass \(m\) increases, the change in temperature \(\Delta T\) decreases.

Answer:

Mass and change in temperature have an inverse relationship.