(A) Granite Has a Typical Thermal Conductivity of 1 $$1.9 \mathrm {~W} / \left( \mathrm { m } ^ { \circ } \mathrm { C } \right)$$

(a) Granite has a typical thermal conductivity of 1. $$1.9 \mathrm {~W} / \left( \mathrm { m } ^ { \circ } \mathrm { C } \right)$$ (a) What is the thermal conductivity in the units used in Chapter $8 , ( \mathrm {~W} \cdot \mathrm { cm } ) / \left( \mathrm { m } ^ { 2 } \cdot { } ^ { \circ } \mathrm { C } \right)$ ?
(b) Calculate the power per $\mathrm { km } ^ { 2 }$ transferred through granite in the presence of a thermal gradient of $20 ^ { \circ } \mathrm { C }$ per $\mathrm { km }$ .