Question

explain why it takes longer to cook a large cheese pizza (400g) than it does to cook a small cheese pizza (150g). justify your answer with information on the relationship between the mass and thermal energy needed to change the temperature of an object. use your notes from l7 and make sure you include the following words in your answer: ( mass molecules thermal energy temperature energy transfer ).

Explanation:

Thermal energy is related to the motion of molecules. A larger mass (like the 400g pizza) has more molecules. According to the formula \(Q = mc\Delta T\) (where \(Q\) is thermal energy, \(m\) is mass, \(c\) is specific heat capacity, and \(\Delta T\) is temperature change), for the same temperature change (\(\Delta T\)) and specific heat capacity (\(c\)), a larger mass (\(m\)) requires more thermal energy (\(Q\)). More thermal energy transfer is needed for the larger pizza, which takes more time.

Answer:

It takes longer to cook a large cheese pizza (400g) than a small one (150g) because thermal energy (\(Q\)) is related to mass (\(m\)) by \(Q = mc\Delta T\). The 400g pizza has more molecules (due to larger mass). For the same temperature increase (\(\Delta T\)) and specific heat capacity (\(c\)) of the pizza (assuming same ingredients, so \(c\) is constant), a larger \(m\) means more \(Q\) (thermal energy) is needed. More thermal energy transfer (which takes time) is required for the 400g pizza compared to the 150g pizza.