Question

Two slabs A and B of different materials but of the same thickness are joined end to end to form a composite slab. The thermal conductivities of A and B are K1 and K2 respectively. A steady temperature difference of 12°C is maintained across the ᶜᴼᴹᴾᴼˢᴵᵀᴱ ˢᴸᴬᴮ.if K1=k2/2,
The temperature difference across slabs A is???

(a) 4°C
(b) 6°C
(c) 8°C
(d) 10°C

​

Answer 1

Assumption: Temperature at Slab A is lower.

Let temperature at junction be T

o

.

Given, T

B

−T

A

=12 ; k

2

=2k

1

Then, k

1

R

A

T

o

−T

A

=k

2

R

B

T

B

−T

o

or, k

1

(T

o

−T

A

)=k

2

(T

B

−T

o

)

Solving, T

o

−T

A

=8

o

C

answer de

Answer 2

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