Active Learning Assignment Part I Pair
Singapore Polytechnic
School of Chemical and Life Sciences
Basic Mathematics
[MS2125]
Active Learning Assignment Part I
Submitted by:
Yap Xin Yi (1416237)
Yjasmin Yvette Morales Naquila (1452129)
DCHE/FT/1A/06
Date of submission:
18 July 2014
Q1. Fill in the table below: (The table below is to help you in your brain-storming; you do not need to be specific or accurate at this stage, but try to think divergently.) (5 marks)
What do we know about this problem? (i.e. what information is given?)
What don’t we know about this problem? (i.e. what assumptions do we need to make?)
What do we need to find out? (i.e. what information do we need to solve/work out?)
· initial temperature is 100°C
· it takes 12 minutes for the stew to cool down from 100°C to 60°C
· the pot is well-stirred
· the pot is stirred occasionally
· room temperature is 25°C
· the temperature of the ice water is constant
· the time needed for the stew temperature to drop from 100°C to 25°C
Q2: Using Microsoft Excel,
(i) plot a graph of the temperature of the stew against the time that has elapsed (refer to pg. 1 of Appendix A [1]).
For graph of Temperature of stew against time elapsed, please refer to Appendix A
(ii) From the plot, suggest a possible relationship between temperature and time by choosing the most appropriate mathematical function (refer to Appendix B [1] where some basic functions are listed) that models the relationship.
Exponential Decay
(iii) Identify the variables of the function that you have selected to your problem construct. (15 marks)
= temperature (°C) = initial temperature (°C) = time elapsed (min) = constant
Q3: (i) Express the non-linear equation that you obtained from Q2 in linear form, stating the terms to be plotted on the vertical and horizontal axis (Show your workings clearly).
Vertical axis: Horizontal axis: Gradient: Vertical intercept:
(ii) Hence, by plotting a suitable straight line graph,
School of Chemical and Life Sciences
Basic Mathematics
[MS2125]
Active Learning Assignment Part I
Submitted by:
Yap Xin Yi (1416237)
Yjasmin Yvette Morales Naquila (1452129)
DCHE/FT/1A/06
Date of submission:
18 July 2014
Q1. Fill in the table below: (The table below is to help you in your brain-storming; you do not need to be specific or accurate at this stage, but try to think divergently.) (5 marks)
What do we know about this problem? (i.e. what information is given?)
What don’t we know about this problem? (i.e. what assumptions do we need to make?)
What do we need to find out? (i.e. what information do we need to solve/work out?)
· initial temperature is 100°C
· it takes 12 minutes for the stew to cool down from 100°C to 60°C
· the pot is well-stirred
· the pot is stirred occasionally
· room temperature is 25°C
· the temperature of the ice water is constant
· the time needed for the stew temperature to drop from 100°C to 25°C
Q2: Using Microsoft Excel,
(i) plot a graph of the temperature of the stew against the time that has elapsed (refer to pg. 1 of Appendix A [1]).
For graph of Temperature of stew against time elapsed, please refer to Appendix A
(ii) From the plot, suggest a possible relationship between temperature and time by choosing the most appropriate mathematical function (refer to Appendix B [1] where some basic functions are listed) that models the relationship.
Exponential Decay
(iii) Identify the variables of the function that you have selected to your problem construct. (15 marks)
= temperature (°C) = initial temperature (°C) = time elapsed (min) = constant
Q3: (i) Express the non-linear equation that you obtained from Q2 in linear form, stating the terms to be plotted on the vertical and horizontal axis (Show your workings clearly).
Vertical axis: Horizontal axis: Gradient: Vertical intercept:
(ii) Hence, by plotting a suitable straight line graph,