question 6 (1 point)\nthe relationship between heat transfer and change in temperature is given by q = mcδt…

question 6 (1 point)\nthe relationship between heat transfer and change in temperature is given by q = mcδt, where c is specific heat capacity. under what conditions will c = q?\nm = 1 kg δt = 1 °c\nm = 1 g δt = 10 °c\nm = 10 g δt = 10 °c\nm = 100 g δt = 10 °c\nm = 1 g δt = 1 °c
Answer
Explanation:
Step1: Rearrange the formula
Given (Q = mc\Delta T), if (c = Q), then (Q= mQ\Delta T). Divide both sides by (Q) (assuming (Q\neq0)), we get (1 = m\Delta T).
Step2: Check each option
- For (m = 1\space kg=1000\space g) and (\Delta T = 1^{\circ}C), (m\Delta T=1000\times1 = 1000\neq1).
- For (m = 1\space g) and (\Delta T = 10^{\circ}C), (m\Delta T=1\times10 = 10\neq1).
- For (m = 10\space g) and (\Delta T = 10^{\circ}C), (m\Delta T=10\times10 = 100\neq1).
- For (m = 100\space g) and (\Delta T = 10^{\circ}C), (m\Delta T=100\times10 = 1000\neq1).
- For (m = 1\space g) and (\Delta T = 1^{\circ}C), (m\Delta T=1\times1 = 1).
Answer:
(m = 1\space g) and (\Delta T = 1^{\circ}C) (the last option)