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TEST REPORT FOR ENGLAND STOVE WORKS, INC.
Report No.: 103348206MID-001BR2
Date: 06/14/22
GENERAL FORMULA – ASTM E2515
uY = √((δY/δx
Where:
δY/δx
= Partial derivative of the combining formula with respect to individual measurement xi,
i
u
= is the uncertainty associated with that measurement.
i
TOTAL PARTICULATE EMISSIONS – ASTM E2515
E
= (c
– c
) Q
T
s
r
where:
c
= sample filter catch/(sample flow rate x test duration), g/dscf,
s
c
= room background filter catch/(sample flow x sampling time), g/dscf,
r
Q
= average dilution tunnel flow rate, dscf/min, and
std
θ
= sampling time, minutes.
MU OF c
s
c
= F
/(Q
s
c
sample
δc
/δF
= 1/Q
s
c
δc
/δQ
= -F
s
sample
δc
/δΘ = -F
/Q
s
c
MUc
= √(0.00027 • 0.0222)
s
√ + (0.1 • - 0.000003)
Thus, c
would be 0.555 mg/dscf ± 0.0081 mg/dscf at 95% confidence level.
s
MU OF c
r
c
= BG
/(QBG x θ) = 0.002/(0.15 x 180) = 0.000074
r
c
δc
/δBG
= 1/Q
r
c
δc
/δQ
= -BG
r
BG
δc
/δΘ = -BG
r
MUc
= √(0.00027 • 0.03704)
r
√ + (0.1 • - 0.0000004)
Thus, c
would be 0.074 mg/dscf ± 0.01 mg/dscf at 95% confidence level.
r
E
AND MU
T
ET
E
= (c
– c
) Q
T
s
r
δE
/δc
= Q
T
s
std
δE
/δc
= Q
T
r
std
δE
/δQ
= c
T
std
s
δE
/δΘ = c
• Q
T
s
MU
= √(27,000 • 0.0000081)
ET
√ + (0.07222 • 0.1)
Version: 05/10/17
) x u
)
+ ... + ((δY/δx
) x u
2
1
1
n
θ
std
x θ) = 0.025/(0.25 x 180) = 0.0005555
• Θ = 1/0.25 • 180 = 0.0222
sample
/Q
2
• Θ = -0.025/0.25
c
sample
• Θ
= -0.025/0.25 • 180
2
sample
2
+ (0.0025 • - 0.00222)
2
= 0.0000091g
• Θ = 1/0.15 • 180 = 0.03704
BG
/Q
2
• Θ = -0.002/0.15
c
BG
/Q
• Θ
= -0.002/0.15 • 180
2
c
BG
+ (0.0015 • - 0.0004938)
2
2
= 0.00001g
θ = (0.000555 - 0.000074) x 150 x 180 = 13.00g
sd
• Θ = 150 • 180 = 27,000
• Θ = 150 • 180 = 27,000
• Θ – c
• Θ = 0.000555 • 180 – 0.000074 • 180 = 0.08667
r
– c
• Q
= 0.000555 • 180 – 0.000074 • 180 = 0.07222
std
r
std
2
+ (27,000 • 0.00001)
2
= 0.436
Page 14 of 22
)
2
n
2
• 180 = -0.00222
= -0.000003
2
2
2
• 180 = -0.0004938
= -0.0000004
2
2
2
(0.08667 • 3)
8431 Murphy Drive
Middleton, WI 53562
Telephone: 608-836-4400
Facsimile: 608-831-9279
www.intertek.com/building
2
GFT-OP-10c
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