The table below gives the average temperature, T, at a depth d, in a borehole in Belleterre, Quebec.

d, depth (m) T, temp (C∘)

25 5.50

50 5.20

75 5.10

100 5.10

125 5.30

150 5.50

175 5.75

200 6.00

225 6.25

250 6.50

275 6.75

300 7.00

Evaluate ΔT/Δd on the following intervals

a) 50≤d≤175 ΔT/Δd =

b) 100≤d≤250 ΔT/Δd =

c) 75≤d≤125 ΔT/Δd =

Question

Mathematics

Dominik Richmond

1 December, 21:23

The table below gives the average temperature, T, at a depth d, in a borehole in Belleterre, Quebec.

d, depth (m) T, temp (C∘)

25 5.50

50 5.20

75 5.10

100 5.10

125 5.30

150 5.50

175 5.75

200 6.00

225 6.25

250 6.50

275 6.75

300 7.00

Evaluate ΔT/Δd on the following intervals

a) 50≤d≤175 ΔT/Δd =

b) 100≤d≤250 ΔT/Δd =

c) 75≤d≤125 ΔT/Δd =

+2

Answers (1)

Know the Answer?

Angeline Ellison · Answer 1

A) ΔT / Δd = (5.75 - 5.20) / (185 - 50) =

= 0.55 / 125 = 0.0044 °C/m

b) ΔT / Δd = (6.50 - 5.10) / (250 - 100) =

= 1.40 / 150 = 0.0093 °C / m

c) ΔT / Δd = (5.30 - 5.10) / (125 - 75) =

= 0.20 / 50 = 0.0040 °C / m