Sample Questions

1. The density of a material is given by the formula $d=\frac{m}{v}$ where $d$ is the density of the material, $m$ is the mass of the material, and $v$ is the volume of the material. It is known that isopropyl alcohol has a density of 0.785 g/mL. What would we expect the volume of a 10 g sample of isopropyl alcohol to be?
2. To convert a temperature in degrees Fahrenheit to degrees Celsius we use the formula $ t_C=\frac59(t_F-32)$ where $t_C$ is the temperature in degrees Celsius and $t_F$ is the temperature in degrees Fahrenheit. Find the temperature in degrees Fahrenheit of 30 degrees Celsius.
3. The specific heat of a substance is the amount of heat energy required to raise the temperature of 1 g of the substance by 1^o C. With $E$ = energy in Joules, $m$ = mass of material in grams, and $T$ = temperature change in degrees C we can write this as specific heat $=\frac{E}{mT}$. The specific heat of water is 4.184 J/g^oC. How much heat energy is needed to raise 250 g of water from 20^o C to 80^o C?

Access the solutions to the Manipulating Relationships Questions