A metal rod is placed between two temperature sources so that heat can flow between them. One temperature is 90.0 °C and the other temperature is 25.0 °C. The length of the rod is 30.0 cm and the cross-sectional area is 10.0 cm^{2}. If 15.0 watts of heat flows between the hot temperature and the cold temperature, then what is the thermal conductivity for the metal?

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69.2 W/(m·°C)

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58.2 W/(m·°C)

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50.4 W/(m·°C)

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46.3 W/(m·°C)

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44.2 W/(m·°C)