Balancing heating in materials + wavelength

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Tom Stallard

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Tom Stallard 8 years, 1 month ago

Created this as a copy of Heating/phase change.

Name	Status	Author	Last Modified
Heating/phase change - core	draft	Tom Stallard	19/06/2016 01:44
Heat and temperature [temp] - graph	draft	Tom Stallard	03/02/2021 13:59
Heating/phase change	Ready to use	Tom Stallard	08/02/2018 18:18
Balancing heating in materials + wavelength	draft	Tom Stallard	12/02/2017 15:03
Balancing heating in materials	draft	Tom Stallard	12/02/2017 15:02
Solid phase change + power	Needs to be tested	Tom Stallard	16/11/2020 15:07
Christian's copy of Heating/phase change	draft	Christian Lawson-Perfect	13/04/2017 15:26
Heating/phase change - 3 tier	draft	Tom Stallard	12/01/2019 15:17
Solid phase change, radiation, entropy	draft	Tom Stallard	12/01/2019 13:56
Simple heating/phase change	draft	Tom Stallard	12/01/2019 14:00
Josh's copy of Heating/phase change	draft	Josh Lim	01/07/2019 11:58
Josh's copy of Solid phase change, radiation, entropy	draft	Josh Lim	01/07/2019 11:59
David's copy of Balancing heating in materials + wavelength	draft	David Rickard	03/12/2018 20:15
B: Solid phase change, radiation, entropy	draft	Tom Stallard	12/01/2019 14:27
B: Simple heating/phase change	draft	Tom Stallard	13/02/2019 11:44
A3: Heating/phase change - 3 tier	draft	Tom Stallard	12/01/2019 15:32
Heating/Phase Change	draft	Melissa D'Ascenzio	15/08/2019 12:35

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Question statement

A room is in complete thermal equilibrium at {temp0} °C. A {mass_string} lump of {Mat_string} is heated in a flame for several minutes. The {Mat_string} is then transferred quickly into {mass2_string} of water, and the water and {Mat_string} both reach {temp1} °C.

	Solid {Mat_string}	Liquid water
Specific heat capacity	{solid_heatcap} JK<sup>-1</sup>kg<sup>-1</sup>	{water_heatcap} JK<sup>-1</sup>kg<sup>-1</sup>

Give any introductory information the student needs.

			Name	Type	Generated Value

			mass_string	string	990 g
			mass2_string	string	2.30 kg

			Name	Type	Generated Value

mat_string	string	Silver
phase1_temp	integer	1235
solid_heatcap	integer	240
water_heatcap	integer	4200

			Name	Type	Generated Value

material_list	list	List of 5 items
solid_hc_list	list	[ 240, 900, 450, 390, 130 ]
fusion_temp_list	list	List of 5 items

			Name	Type	Generated Value

wat_mat	integer	0
temp0	number	30.8
temp1	number	39.3
mass	number	0.99
mass2	number	2.3

			Name	Type	Generated Value

Q_water	number	82110
Q_water_kj	number	82.11
d_temp2	number	-345.5808080808
temp2	number	658.0308080808
wavelength	number	4.4040491181
kw	integer	2898

			Name	Type	Generated Value

Automatically regenerate variables?

Name

Data type

Value

xxxxxxxxxx
 
if(mass<1,dpformat(mass*1000,0)+' g',dpformat(mass,2)+' kg')

JME function reference

Description

Describe what this variable represents, and list any assumptions made about its value.

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Generated value: `string`

990 g

← Depends on:

mass

→ Used by:

Statement

Advice

Q = m * C{'S'} * ΔT

Q = {mass2} * {water_heatcap} * ({temp1}-{temp0})

Q = {siground(q_water,6)} J

So the heat added to the water is {siground(q_water_kj,3)} kJ.

The heat added to the water was taken from the {Mat_string}, so that

Q{Mat_string} = -{siground(q_water_kj,3)} kJ.

Q{Mat_string} = m * C{Mat_string} * ΔT

ΔT = Q{Mat_string}/(m * C{Mat_string})

ΔT = -{siground(q_water,3)}/({mass} * {solid_heatcap})

ΔT ={siground(d_temp2,3)} K

Firstly, calculate the initial temperature of the {Mat_string} in K:

T = {siground(d_temp2*(-1),3)} + {temp0} + 273.15 = {siground(temp2,3)} K

Then calculate the wavelength:

Wavelength = KW / T = {kw} /{siground(temp2,3)}

So the {mat_string} was glowing with a peak at {siground(wavelength,3)} μm.

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This question is used in the following exam:

Heat by Jim Kelly in Jim's workspace.

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Tom Stallard 8 years, 1 month ago

Error in variable testing condition

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Generated value: `string`

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Balancing heating in materials + wavelength

Metadata

Taxonomy: mathcentre

Taxonomy: Kind of activity

Taxonomy: Context

Contributors

History

Comment

Checkpoint description

Tom Stallard 8 years, 1 month ago

Error in variable testing condition

Error

Warning

Generated value: string

Parts

Number entry

Advanced settings

Generated value: `string`