Question

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

trial mass (g) δt (°c) heat (q, j)
a 30.00 14.00 60.00
b 36.00 11.67 60.00
c 42.00 10.00 60.00
d 48.00 8.75 60.00
e 54.00 7.78 60.00

q = mcδt

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 \( Q = mc\Delta T \)

When \( Q \) (heat) and \( c \) (specific heat capacity) are constant (as \( Q = 60J\) for all trials and assume \( c \) is of the same substance), we can rewrite the formula as \( \Delta T=\frac{Q}{mc}\). Since \( Q \) and \( c \) are constant, \( \Delta T\propto\frac{1}{m}\).

Step2: Analyze the data

As mass (\(m\)) increases from \(30.00g\) (Trial A) to \(54.00g\) (Trial E), \(\Delta T\) decreases from \(14.00^{\circ}C\) (Trial A) to \(7.78^{\circ}C\) (Trial E).

Answer:

Mass and change in temperature have an inverse relationship.